Pub Date : 2022-09-01DOI: 10.1016/j.ifacsc.2022.100203
S. Dubbioso , L.E. di Grazia , G. De Tommasi , M. Mattei , A. Mele , A. Pironti
In this paper we propose a vertical stabilization (VS) control system for tokamak plasmas based on the extremum seeking (ES) algorithm. The gist of the proposed strategy is to inject an oscillating term in the control action and exploit a modified ES algorithm in order to bring to zero the average motion of the plasma along the unstable mode. In this way, the stabilization of the unstable vertical dynamic of the plasma is achieved. The approach is validated by means of both linear and nonlinear simulations of the overall ITER tokamak magnetic control system, with the aim of demonstrating robust operation throughout the flat-top phase of a discharge and the capability of reacting to a variety of disturbances.
{"title":"Vertical stabilization of tokamak plasmas via extremum seeking","authors":"S. Dubbioso , L.E. di Grazia , G. De Tommasi , M. Mattei , A. Mele , A. Pironti","doi":"10.1016/j.ifacsc.2022.100203","DOIUrl":"10.1016/j.ifacsc.2022.100203","url":null,"abstract":"<div><p>In this paper we propose a vertical stabilization (VS) control system for tokamak plasmas based on the extremum seeking (ES) algorithm. The gist of the proposed strategy is to inject an oscillating term in the control action and exploit a modified ES algorithm in order to bring to zero the <em>average</em> motion of the plasma along the unstable mode. In this way, the stabilization of the unstable vertical dynamic of the plasma is achieved. The approach is validated by means of both linear and nonlinear simulations of the overall ITER tokamak magnetic control system, with the aim of demonstrating robust operation throughout the flat-top phase of a discharge and the capability of reacting to a variety of disturbances.</p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"21 ","pages":"Article 100203"},"PeriodicalIF":1.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126596797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The problem of an autonomous agent moving on a planar surface, such as an aerial drone or a small naval vessel can be treated as navigation between a series of points. While nominally the movement between each pair of points can be treated as a 1D projection of the movement on the vector connecting the two points, in the presence of disturbances, the full problem on the plane must be considered. The time optimal solution is now dependent on the value and direction of the disturbance which in this paper is assumed to be a constant inertial velocity of the medium (wind or current, respectively). We address the minimum time problem of movement on a 2D plane with quadratic drag, under norm state (inertial vessel velocity), and norm control (acceleration) constraints. The structure and properties of the optimal solution are found and analyzed, utilizing the Pontryagin Maximum Principle (PMP) with control and state constraints. Simulations supporting the results are provided and compared with those of the open-source academic optimal control solver Falcon.m.
{"title":"Time optimal control of a non-linear surface vehicle subject to disturbances","authors":"Ayal Taitler , Ilya Ioslovich , Erez Karpas , Per-Olof Gutman","doi":"10.1016/j.ifacsc.2022.100195","DOIUrl":"10.1016/j.ifacsc.2022.100195","url":null,"abstract":"<div><p><span><span><span>The problem of an autonomous agent moving on a planar surface, such as an aerial drone or a small </span>naval vessel can be treated as navigation between a series of points. While nominally the movement between each pair of points can be treated as a 1D projection of the movement on the vector connecting the two points, in the presence of disturbances, the full problem on the plane must be considered. The time optimal solution is now dependent on the value and direction of the disturbance which in this paper is assumed to be a constant inertial velocity of the medium (wind or current, respectively). We address the minimum time problem of movement on a 2D plane with quadratic drag, under norm state (inertial vessel velocity), and norm control (acceleration) constraints. The structure and properties of the optimal solution are found and analyzed, utilizing the </span>Pontryagin Maximum Principle (PMP) with control and state constraints. Simulations supporting the results are provided and compared with those of the open-source academic optimal control solver </span><em>Falcon.m</em>.</p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"21 ","pages":"Article 100195"},"PeriodicalIF":1.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127953104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-01DOI: 10.1016/j.ifacsc.2022.100199
L.P.M. da Silva, A.P.C. Gonçalves
This paper addresses the and control of Markov Jump Systems subject to a class of nonlinearities that include them on the Lur’e system framework, with sector slope optimization. The proposed controllers are robust to nonlinearities belonging to a sector. We propose mode-dependent controllers; in other words, the Markov mode is available to controllers. The design of such controllers considers the optimization of the and costs as well as the sector slope, which determines the class of accepted nonlinearities. The results are illustrated through two practical examples: coupled electrical machines and the semi-active suspension of a quarter car.
{"title":"H2 and H∞ Control with sector bound optimization for Continuous Time Markov Jump Lur’e Systems","authors":"L.P.M. da Silva, A.P.C. Gonçalves","doi":"10.1016/j.ifacsc.2022.100199","DOIUrl":"10.1016/j.ifacsc.2022.100199","url":null,"abstract":"<div><p>This paper addresses the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control of Markov Jump Systems subject to a class of nonlinearities that include them on the Lur’e system framework, with sector slope optimization. The proposed controllers are robust to nonlinearities belonging to a sector. We propose mode-dependent controllers; in other words, the Markov mode <span><math><mrow><mi>θ</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> is available to controllers. The design of such controllers considers the optimization of the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> costs as well as the sector slope, which determines the class of accepted nonlinearities. The results are illustrated through two practical examples: coupled electrical machines and the semi-active suspension of a quarter car.</p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"21 ","pages":"Article 100199"},"PeriodicalIF":1.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"54770452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The problem of maximum power point tracking (MPPT) control of uncertain photovoltaic (PV) systems is addressed in this paper, on the basis of an adaptive Kalman-like observer. The system is composed of a photovoltaic generator (PVG) supplying power to a DC centrifugal pump driven by a DC–DC boost converter. The PVG is connected to the converter by a long PV cable. Indeed, many PV power plant situations require that the PV panels be installed at a great distance from the converter for several reasons including the security and the property of the site and its exposure to good daily solar irradiance. This obviously leads to the difficulty of PVG output current and voltage measurement using ordinary sensors. Such quantities measurement being in fact necessary for MPPT algorithms and controllers design. Furthermore, the specific parameters of the long PV cable used, namely its resistance and inductance, could have a significant effect on the MPPT control efficiency if instead of PVG delivered voltage and current measurements, only those accessible at the converter side of the cable are used in MPPT controllers design. Therefore, this work aims at overcoming the two aforementioned issues by proposing an adaptive output-feedback control-based MPPT for PV systems. An adaptive Kalman-like observer providing online estimates of inaccessible state variables as well as of PV cable unknown parameters is firstly designed. Then, a backstepping control law is synthesized to meet the MPPT objective. The convergence of both adaptive observer and closed-loop system control has been established using Lyapunov approach and the effectiveness of the developed adaptive MPPT controller in achieving an accurate and robust MPPT control towards uncertainties of the PV cable parameters, has been validated through numerical simulations.
{"title":"Adaptive output-feedback control design for maximum power point tracking of uncertain photovoltaic systems","authors":"Mohamed Stitou , Abderrahim El Fadili , Fatima Zahra Chaoui , Fouad Giri","doi":"10.1016/j.ifacsc.2022.100205","DOIUrl":"https://doi.org/10.1016/j.ifacsc.2022.100205","url":null,"abstract":"<div><p><span><span><span>The problem of maximum power point tracking<span> (MPPT) control of uncertain photovoltaic<span> (PV) systems is addressed in this paper, on the basis of an adaptive Kalman-like observer. The system is composed of a photovoltaic generator (PVG) supplying power to a DC centrifugal pump driven by a DC–DC boost converter. The PVG is connected to the converter by a long PV cable. Indeed, many PV power plant situations require that the </span></span></span>PV panels be installed at a great distance from the converter for several reasons including the security and the property of the site and its exposure to good daily solar irradiance. This obviously leads to the difficulty of PVG output current and voltage measurement using ordinary sensors. Such quantities measurement being in fact necessary for MPPT algorithms and </span>controllers design. Furthermore, the specific parameters of the long PV cable used, namely its resistance and inductance, could have a significant effect on the MPPT control efficiency if instead of PVG </span>delivered voltage and current measurements, only those accessible at the converter side of the cable are used in MPPT controllers design. Therefore, this work aims at overcoming the two aforementioned issues by proposing an adaptive output-feedback control-based MPPT for PV systems. An adaptive Kalman-like observer providing online estimates of inaccessible state variables as well as of PV cable unknown parameters is firstly designed. Then, a backstepping control law is synthesized to meet the MPPT objective. The convergence of both adaptive observer and closed-loop system control has been established using Lyapunov approach and the effectiveness of the developed adaptive MPPT controller in achieving an accurate and robust MPPT control towards uncertainties of the PV cable parameters, has been validated through numerical simulations.</p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"21 ","pages":"Article 100205"},"PeriodicalIF":1.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136897178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-01DOI: 10.1016/j.ifacsc.2022.100201
Arghya Chakravarty , Chitralekha Mahanta , Wei Wang , Indrani Kar
A novel actuator failure compensation scheme is proposed for affine nonlinear uncertain systems (not necessarily Lipschitz) subject to persistent/intermittent actuator faults/failures unknown in time, magnitude and pattern. The proposed control methodology satisfies the nonlinear separation principle through a modular backstepping control. The controller is then augmented with multiple estimation models to estimate failure induced parametric uncertainties and unknown system parameters. The output transient performance at start up and post-failure instances, is improved on account of a two layer adaptation which enhances the convergence speed and accuracy of parameter estimates. The proposed fault tolerant control (FTC) method yields a faithful accommodation of uncertain finite as well as infinite/intermittent/persistent actuator failures while ensuring satisfactory output transient and steady state performances. Further, compared to existing multiple model based adaptive fault tolerant control design for nonlinear systems, the proposed methodology circumvents the issues of stability due to switching between different models and utilizes a minimum number of estimation models for parameter estimation without compromising on the output performance. Consequently, the computational burden is also reduced. Compared to multiple model adaptive control based FTC strategies proposed earlier which assume finite actuator failures and Lipschitz nonlinear system, the proposed method is applicable to both Lipschitz and non-Lipschitz nonlinear systems affected by intermittent actuator failures. Using the concepts from stability analysis in random nonlinear impulsive systems, the and bounds on tracking error for all future time are derived in the case of intermittent/persistent actuator failures obtained using the proposed fault-tolerant controller. The improvement of output transient performance in the proposed control scheme in comparison with controller with single identifier, is theoretically proved and quantified.
{"title":"A switching-free multiple-model approach for adaptive FTC of non-Lipschitz nonlinear uncertain systems under persistent actuator failures","authors":"Arghya Chakravarty , Chitralekha Mahanta , Wei Wang , Indrani Kar","doi":"10.1016/j.ifacsc.2022.100201","DOIUrl":"10.1016/j.ifacsc.2022.100201","url":null,"abstract":"<div><p><span>A novel actuator failure<span> compensation scheme is proposed for affine nonlinear uncertain systems (not necessarily Lipschitz) subject to persistent/intermittent actuator faults/failures unknown in time, magnitude and pattern. The proposed control methodology satisfies the </span></span><em>nonlinear separation principle</em><span><span> through a modular backstepping control. The controller is then augmented with multiple estimation models to estimate failure induced parametric uncertainties and unknown system parameters. The output transient performance at start up and post-failure instances, is improved on account of a two layer adaptation which enhances the convergence speed and accuracy of parameter estimates. The proposed </span>fault tolerant control<span><span> (FTC) method yields a faithful accommodation of uncertain finite as well as infinite/intermittent/persistent actuator failures while ensuring satisfactory output transient and steady state performances. Further, compared to existing multiple model based adaptive fault tolerant control design for nonlinear systems, the proposed methodology circumvents the issues of stability due to switching between different models and utilizes a minimum number of estimation models for parameter estimation without compromising on the output performance. Consequently, the computational burden is also reduced. Compared to multiple model </span>adaptive control based FTC strategies proposed earlier which assume finite actuator failures and Lipschitz nonlinear system, the proposed method is applicable to both Lipschitz and non-Lipschitz nonlinear systems affected by intermittent actuator failures. Using the concepts from stability analysis in random nonlinear impulsive systems, the </span></span><span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> bounds on tracking error for all future time are derived in the case of intermittent/persistent actuator failures obtained using the proposed fault-tolerant controller. The improvement of output transient performance in the proposed control scheme in comparison with controller with single identifier, is theoretically proved and quantified.</p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"21 ","pages":"Article 100201"},"PeriodicalIF":1.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121434998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-01DOI: 10.1016/j.ifacsc.2022.100197
Rim Rammal , Tudor-Bogdan Airimitoaie , Pierre Melchior , Franck Cazaurang
Fault detection and isolation on hydraulic systems are very important to ensure safety and avoid disasters. In this paper, a fault detection and isolation method, based on the flatness property of nonlinear systems, is experimentally applied on the three-tank system, which is considered as a popular prototype of hydraulic systems. Specifically, fault indicators, called residues, are generated using flat output measurements, and for the purpose of fault isolation, a definition of the isolability is introduced. This definition allows the characterization of flat outputs that are useful for fault isolation. A sensitivity analysis is proposed in order to improve the robustness of the method. Multiplicative faults are considered on sensors and actuators.
{"title":"Nonlinear three-tank system fault detection and isolation using differential flatness","authors":"Rim Rammal , Tudor-Bogdan Airimitoaie , Pierre Melchior , Franck Cazaurang","doi":"10.1016/j.ifacsc.2022.100197","DOIUrl":"10.1016/j.ifacsc.2022.100197","url":null,"abstract":"<div><p>Fault detection and isolation on hydraulic systems<span> are very important to ensure safety and avoid disasters. In this paper, a fault detection and isolation method, based on the flatness property of nonlinear systems, is experimentally applied on the three-tank system, which is considered as a popular prototype of hydraulic systems. Specifically, fault indicators, called residues, are generated using flat output measurements, and for the purpose of fault isolation, a definition of the isolability is introduced. This definition allows the characterization of flat outputs that are useful for fault isolation. A sensitivity analysis is proposed in order to improve the robustness of the method. Multiplicative faults are considered on sensors and actuators.</span></p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"21 ","pages":"Article 100197"},"PeriodicalIF":1.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114998618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.1016/j.ifacsc.2022.100189
Junhua Zheng , Yue Liu , Zhiqiang Ge
Fault classification is an important part in industrial process for process monitoring and control. As an ensemble learning approach for classification, random forests has been widely used in different areas. Taking into account the performance of individual decision tree, the diversity between trees and the difference between process data, a k nearest neighbors-hierarchical clustering (KNN-HC) method is proposed in this paper for dynamic ensemble selection (DES) in random forests. In addition, a weighted probability fusion strategy is developed as an alternative of majority voting rule. The experimental evaluation of the proposed method is carried out through the Tennessee Eastman (TE) benchmark process. Results show that the proposed method outperforms three conventional methods, the original random forests (RF) and the static selection based random forests.
{"title":"Dynamic ensemble selection based improved random forests for fault classification in industrial processes","authors":"Junhua Zheng , Yue Liu , Zhiqiang Ge","doi":"10.1016/j.ifacsc.2022.100189","DOIUrl":"10.1016/j.ifacsc.2022.100189","url":null,"abstract":"<div><p><span>Fault classification is an important part in industrial process for process monitoring and control. As an ensemble learning approach for classification, </span>random forests<span> has been widely used in different areas. Taking into account the performance of individual decision tree, the diversity between trees and the difference between process data, a k nearest neighbors-hierarchical clustering (KNN-HC) method is proposed in this paper for dynamic ensemble selection (DES) in random forests. In addition, a weighted probability fusion strategy is developed as an alternative of majority voting rule. The experimental evaluation of the proposed method is carried out through the Tennessee Eastman (TE) benchmark process. Results show that the proposed method outperforms three conventional methods, the original random forests (RF) and the static selection based random forests.</span></p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"20 ","pages":"Article 100189"},"PeriodicalIF":1.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130985807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.1016/j.ifacsc.2022.100191
G. Rigatos , K. Busawon , M. Abbaszadeh
Truck and N-trailer mobile robots find use in freight transportation, urban transportation, mining as well as in agriculture. The article proposes a nonlinear optimal (H-infinity) control approach for the truck and N-trailer robotic system. The method has been successfully tested so far on the control problem of several types of robotic vehicles and here it is shown that it can also provide an optimal solution to the control problem of the underactuated truck and N-trailer mobile robot. To implement this control scheme, the state-space description of the kinematic model of the truck and N-trailer robotic system undergoes first approximate linearization around a temporary operating point, through first-order Taylor series expansion and through the computation of the associated Jacobian matrices. Next, an optimal (H-infinity) feedback controller is designed. To select the feedback gains of the optimal (H-infinity) controller an algebraic Riccati equation is solved at each time-step of the control method. The global stability properties of the control loop are proven through Lyapunov analysis. Finally, to implement state estimation-based feedback control, the H-infinity Kalman Filter is used as a robust state estimator.
卡车和N-trailer移动机器人在货运、城市交通、采矿以及农业中都有应用。提出了一种卡车- n -挂车机器人系统的非线性最优(h∞)控制方法。目前,该方法已成功地在几种机器人车辆的控制问题上进行了测试,结果表明,该方法也可以为欠驱动卡车和n拖车移动机器人的控制问题提供最优解。为了实现该控制方案,卡车和n -拖车机器人系统的运动学模型的状态空间描述首先通过一阶泰勒级数展开和相关雅可比矩阵的计算,围绕临时工作点进行近似线性化。其次,设计了最优(h∞)反馈控制器。为了选择最优(h -∞)控制器的反馈增益,在控制方法的每个时间步解一个代数Riccati方程。通过李雅普诺夫分析证明了控制回路的全局稳定性。最后,利用h -∞卡尔曼滤波器作为鲁棒状态估计器实现基于状态估计的反馈控制。
{"title":"A nonlinear optimal control approach for the truck and N-trailer robotic system","authors":"G. Rigatos , K. Busawon , M. Abbaszadeh","doi":"10.1016/j.ifacsc.2022.100191","DOIUrl":"10.1016/j.ifacsc.2022.100191","url":null,"abstract":"<div><p><span><span>Truck and N-trailer mobile robots find use in freight transportation, urban transportation, mining as well as in </span>agriculture. The article proposes a nonlinear optimal (H-infinity) control approach for the truck and N-trailer </span>robotic system<span><span><span>. The method has been successfully tested so far on the control problem of several types of robotic vehicles and here it is shown that it can also provide an optimal solution to the control problem of the underactuated truck and N-trailer mobile robot. To implement this control scheme, the state-space description of the kinematic model<span> of the truck and N-trailer robotic system undergoes first approximate linearization around a temporary operating point, through first-order Taylor series expansion and through the computation of the associated </span></span>Jacobian matrices<span>. Next, an optimal (H-infinity) feedback controller is designed. To select the feedback gains of the optimal (H-infinity) controller an algebraic </span></span>Riccati equation<span><span> is solved at each time-step of the control method<span>. The global stability properties of the control loop are proven through Lyapunov analysis. Finally, to implement state estimation-based feedback control, the H-infinity </span></span>Kalman Filter<span> is used as a robust state estimator.</span></span></span></p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"20 ","pages":"Article 100191"},"PeriodicalIF":1.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127085930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-06-01DOI: 10.1016/j.ifacsc.2022.100193
Sujay D. Kadam , Harish J. Palanthandalam-Madapusi
The property of system invertibility is important both from a theoretical standpoint and an important consideration in left and right inversion problems that deal with input estimation and tracking control respectively. Nuances associated with the notion of relative degree in multi-input, multi-output (MIMO) systems on account of input–output delays pose challenges in system inversion problems and are more acute in the case of non-square systems. In this note, using the LTI discrete-time MIMO systems framework, we review existing notions of relative degree and develop new definitions and generalizations for relative degree to help address some of the gaps in system inversion problems. In doing so, we also show through simple but elegant results that existence of well-defined relative degree for an LTI MIMO system implies its invertibility. Furthermore, we also highlight the utility of these ideas in practical tracking control and input estimation situations and problems.
{"title":"A note on invertibility and relative degree of MIMO LTI systems","authors":"Sujay D. Kadam , Harish J. Palanthandalam-Madapusi","doi":"10.1016/j.ifacsc.2022.100193","DOIUrl":"10.1016/j.ifacsc.2022.100193","url":null,"abstract":"<div><p>The property of system invertibility<span> is important both from a theoretical standpoint and an important consideration in left and right inversion problems that deal with input estimation and tracking control respectively. Nuances associated with the notion of relative degree in multi-input, multi-output (MIMO) systems on account of input–output delays pose challenges in system inversion problems and are more acute in the case of non-square systems. In this note, using the LTI discrete-time MIMO systems framework, we review existing notions of relative degree and develop new definitions and generalizations for relative degree to help address some of the gaps in system inversion problems. In doing so, we also show through simple but elegant results that existence of well-defined relative degree for an LTI MIMO system implies its invertibility. Furthermore, we also highlight the utility of these ideas in practical tracking control and input estimation situations and problems.</span></p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"20 ","pages":"Article 100193"},"PeriodicalIF":1.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116537922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-03-01DOI: 10.1016/j.ifacsc.2022.100183
Hoai-Nam Nguyen
There exist several approaches to design the optimal control strategy to harvest wave energy with a point absorber. However they are generally based on the assumption that the WEC and the PTO dynamics are well-known. In the practical WEC control implementation, this is generally not the case. The objective of this paper is to design a robust optimal control strategy that can take into account the uncertain WEC and PTO dynamics. Our choice is a robust adaptive PI control law. The proposed controller is validated and compared through simulation for irregular sea states.
{"title":"Robust adaptive PI control of wave energy converters with uncertain dynamics","authors":"Hoai-Nam Nguyen","doi":"10.1016/j.ifacsc.2022.100183","DOIUrl":"10.1016/j.ifacsc.2022.100183","url":null,"abstract":"<div><p>There exist several approaches to design the optimal control strategy to harvest wave energy with a point absorber. However they are generally based on the assumption that the WEC and the PTO dynamics are well-known. In the practical WEC control implementation, this is generally not the case. The objective of this paper is to design a robust optimal control strategy that can take into account the uncertain WEC and PTO dynamics. Our choice is a robust adaptive PI control law. The proposed controller is validated and compared through simulation for irregular sea states.</p></div>","PeriodicalId":29926,"journal":{"name":"IFAC Journal of Systems and Control","volume":"19 ","pages":"Article 100183"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128767569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}