The paper presents a possibility of application a hybrid algorithm compound of a global algorithm Interpolated Ant Colony Optimization and local Directional Derivatives Simplex (IACO-DDS) to identification of the time delays in the linear plant. The Interpolated Ant Colony Optimization algorithm (IACO) can be used to continuous problems. The Derivatives Simplex belongs to the class of a modified Nelder Mead Algorithm. The IACO-DDS algorithm is compared with the simple IACO in terms of their speed and efficiency for unimodal and multimodal search space. The investigation was made for the sixteen plants with random parameters, divide into two group: the simple and difficult to identification plants.
{"title":"Time delays identification by means of a hybrid interpolated ant colony optimization and Nelder-Mead algorithm","authors":"Janusz P. Papliński","doi":"10.1109/PC.2013.6581380","DOIUrl":"https://doi.org/10.1109/PC.2013.6581380","url":null,"abstract":"The paper presents a possibility of application a hybrid algorithm compound of a global algorithm Interpolated Ant Colony Optimization and local Directional Derivatives Simplex (IACO-DDS) to identification of the time delays in the linear plant. The Interpolated Ant Colony Optimization algorithm (IACO) can be used to continuous problems. The Derivatives Simplex belongs to the class of a modified Nelder Mead Algorithm. The IACO-DDS algorithm is compared with the simple IACO in terms of their speed and efficiency for unimodal and multimodal search space. The investigation was made for the sixteen plants with random parameters, divide into two group: the simple and difficult to identification plants.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129333355","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 paper compares the ability of forgetting methods to track time varying parameters using various method of regularized exponential forgetting (REF). Three forgetting methods are analyzed in this paper: regularized exponential forgetting, second is regularized exponential forgetting with alternative covariance matrix (REFACM) and third is the novel hybrid regularized exponential forgetting method with a choice to disable or enable alternative covariance matrix (HREFACM). The comparison is performed in the terms of the quality of the observed output parameters. The observed parameters for all benchmarks are the integral sum of the Euclidean norm of the deviation of the parameter estimates from their true values (IS) and a selected band prediction error count (PE). As a supplementary information the eigenvalues of the covariance matrix are observed. All algorithms are validated by simulations in the Matlab Simulink software environment.
{"title":"On-line identification using hybrid method of regularized exponential forgetting","authors":"J. Vachálek","doi":"10.1109/PC.2013.6581419","DOIUrl":"https://doi.org/10.1109/PC.2013.6581419","url":null,"abstract":"The paper compares the ability of forgetting methods to track time varying parameters using various method of regularized exponential forgetting (REF). Three forgetting methods are analyzed in this paper: regularized exponential forgetting, second is regularized exponential forgetting with alternative covariance matrix (REFACM) and third is the novel hybrid regularized exponential forgetting method with a choice to disable or enable alternative covariance matrix (HREFACM). The comparison is performed in the terms of the quality of the observed output parameters. The observed parameters for all benchmarks are the integral sum of the Euclidean norm of the deviation of the parameter estimates from their true values (IS) and a selected band prediction error count (PE). As a supplementary information the eigenvalues of the covariance matrix are observed. All algorithms are validated by simulations in the Matlab Simulink software environment.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134302231","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}
K. Ondrejkovic, P. Noga, L. Tkác, G. Hulkó, P. Bucek
The paper presents simulation study on control of temperature field of steel billet during continuous casting. The cooling of steel billet is controlled with secondary cooling zone - a set of water jets divided into independent subzones. The temperature field evolution in time and space is described by non-linear partial differential equation. The solution of this equation is obtained numerically, using specialized finite element software ProCAST. Lumped-input and distributed-parameter-output system (LDS) is introduced, with the inputs being cooling water flow rates and the temperature field being the system's distributed output. Control synthesis in the system's feedback is solved in space and time direction. To represent the temperature field during setpoint changes a co-simulation interface was added to the DPS Blockset (Third-Party software product of The MathWorks). The interface block enables you to couple a finite element simulation in ProCAST and control scheme in Simulink. This feature brings you the full power of Simulink to extend the capabilities of finite element simulation.
本文对连铸过程中钢坯温度场的控制进行了仿真研究。钢坯的冷却是由二冷区控制的，二冷区是一组水射流，分为独立的子区。用非线性偏微分方程描述了温度场在时间和空间上的演化。利用专用有限元软件ProCAST，对该方程进行了数值求解。介绍了以冷却水流量为输入，温度场为系统分布输出的集总输入和分布参数输出系统。从空间和时间两个方向解决了系统反馈中的控制综合问题。为了表示设定值变化期间的温度场，在DPS Blockset (the MathWorks的第三方软件产品)中添加了一个联合仿真接口。接口模块使您能够耦合ProCAST中的有限元仿真和Simulink中的控制方案。此功能为您带来了Simulink的全部功能，以扩展有限元仿真的功能。
{"title":"Control of billet temperature field by the secondary cooling in continuous casting of steel","authors":"K. Ondrejkovic, P. Noga, L. Tkác, G. Hulkó, P. Bucek","doi":"10.1109/PC.2013.6581408","DOIUrl":"https://doi.org/10.1109/PC.2013.6581408","url":null,"abstract":"The paper presents simulation study on control of temperature field of steel billet during continuous casting. The cooling of steel billet is controlled with secondary cooling zone - a set of water jets divided into independent subzones. The temperature field evolution in time and space is described by non-linear partial differential equation. The solution of this equation is obtained numerically, using specialized finite element software ProCAST. Lumped-input and distributed-parameter-output system (LDS) is introduced, with the inputs being cooling water flow rates and the temperature field being the system's distributed output. Control synthesis in the system's feedback is solved in space and time direction. To represent the temperature field during setpoint changes a co-simulation interface was added to the DPS Blockset (Third-Party software product of The MathWorks). The interface block enables you to couple a finite element simulation in ProCAST and control scheme in Simulink. This feature brings you the full power of Simulink to extend the capabilities of finite element simulation.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131342396","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 paper deals with a promising frequency domain approach to the design of a gain scheduled controller for SISO plants. Stability conditions are derived for a family of LPV-like systems and corresponding design procedures are developed Obtained results have been verified on an example from literature as well as on a maglev laboratory plant.
{"title":"Frequency domain gain scheduled controller design for SISO systems","authors":"V. Veselý, Adrian Ilka, A. Kozáková","doi":"10.1109/PC.2013.6581450","DOIUrl":"https://doi.org/10.1109/PC.2013.6581450","url":null,"abstract":"The paper deals with a promising frequency domain approach to the design of a gain scheduled controller for SISO plants. Stability conditions are derived for a family of LPV-like systems and corresponding design procedures are developed Obtained results have been verified on an example from literature as well as on a maglev laboratory plant.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131614451","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}
Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in the state equation. Sufficient conditions for the existence of a unique solution of the parabolic time delay equation with the Neumann boundary condition are proved. The time horizon T is fixed. Making use of the Lions scheme [10], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional with pointwise observation of the state and constrained control are derived. The example of application is also presented.
{"title":"Pointwise observation of the state given by the parabolic system with the Neumann boundary condition","authors":"A. Kowalewski","doi":"10.1109/PC.2013.6581390","DOIUrl":"https://doi.org/10.1109/PC.2013.6581390","url":null,"abstract":"Various optimization problems for linear parabolic systems with multiple constant time delays are considered. In this paper, we consider an optimal distributed control problem for a linear parabolic system in which multiple constant time delays appear in the state equation. Sufficient conditions for the existence of a unique solution of the parabolic time delay equation with the Neumann boundary condition are proved. The time horizon T is fixed. Making use of the Lions scheme [10], necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional with pointwise observation of the state and constrained control are derived. The example of application is also presented.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116183986","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}
Explicit Model Predictive Control (MPC) is an attractive control strategy, especially when one aims at a fast, computationally less demanding implementation of MPC. However the major obstacle that prevents a successful application of explicit MPC controllers lies in the increased memory occupancy. This is a major limitation of the approach when aiming at implementing MPC in control hardware that has restricted amount of memory storage. Therefore in this paper we propose to obtain a much more simpler representation of explicit MPC solutions that occupy less memory. We propose to achieve this goal by constructing a simpler, albeit suboptimal, representation of the explicit MPC optimizer. This task is accomplished by first synthesizing a simpler explicit optimizer as a piecewise affine function that maps state measurements onto the predicted sequence of control inputs. Subsequently, parameters of such a function are refined as to achieve better performance. We show that such a function approximation problem is always feasible. Efficacy of the proposed procedure is demonstrated on several examples.
{"title":"Synthesis of simple explicit MPC optimizers by function approximation","authors":"Juraj Holaza, B. Takács, M. Kvasnica","doi":"10.1109/PC.2013.6581440","DOIUrl":"https://doi.org/10.1109/PC.2013.6581440","url":null,"abstract":"Explicit Model Predictive Control (MPC) is an attractive control strategy, especially when one aims at a fast, computationally less demanding implementation of MPC. However the major obstacle that prevents a successful application of explicit MPC controllers lies in the increased memory occupancy. This is a major limitation of the approach when aiming at implementing MPC in control hardware that has restricted amount of memory storage. Therefore in this paper we propose to obtain a much more simpler representation of explicit MPC solutions that occupy less memory. We propose to achieve this goal by constructing a simpler, albeit suboptimal, representation of the explicit MPC optimizer. This task is accomplished by first synthesizing a simpler explicit optimizer as a piecewise affine function that maps state measurements onto the predicted sequence of control inputs. Subsequently, parameters of such a function are refined as to achieve better performance. We show that such a function approximation problem is always feasible. Efficacy of the proposed procedure is demonstrated on several examples.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115543035","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}
We consider a circular track and a platoon of vehicles driving on it. Our goal is to design a distributed (onboard) control system that will keep uniform spacing between any car and its predecessor without knowing the length of the track. Quite naturally the distributed control problem is posed as a double consensus task, wherein individual cars have to agree on the cruising velocity and the gaps between two consecutive cars. We study the feasibility of the consensus and its convergence properties. We prove that the cars will converge to equal distances and the resulting velocity will be the average of the velocity references of individual cars. We also consider the stability of this circularly connected system.
{"title":"Equalization of intervehicular distances in platoons on a circular track","authors":"Ivo Herman, Dan Martinec, Z. Hurák, M. Šebek","doi":"10.1109/PC.2013.6581381","DOIUrl":"https://doi.org/10.1109/PC.2013.6581381","url":null,"abstract":"We consider a circular track and a platoon of vehicles driving on it. Our goal is to design a distributed (onboard) control system that will keep uniform spacing between any car and its predecessor without knowing the length of the track. Quite naturally the distributed control problem is posed as a double consensus task, wherein individual cars have to agree on the cruising velocity and the gaps between two consecutive cars. We study the feasibility of the consensus and its convergence properties. We prove that the cars will converge to equal distances and the resulting velocity will be the average of the velocity references of individual cars. We also consider the stability of this circularly connected system.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115271593","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 paper deals with the problem of constrained H∞ fuzzy control for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. On the basis of the Lyapunov stability criterion and H∞ norm performances, the sufficient conditions of stabilization are outlined and adjusted for systems operating in a forced mode. Numerical simulation is given to illustrate the design procedure and to validate the performances of the proposed approach.
{"title":"Nonlinear system H∞ fuzzy control within Takagi-Sugeno framework","authors":"A. Filasová, V. Hladký, D. Krokavec","doi":"10.1109/PC.2013.6581375","DOIUrl":"https://doi.org/10.1109/PC.2013.6581375","url":null,"abstract":"The paper deals with the problem of constrained H∞ fuzzy control for a class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. On the basis of the Lyapunov stability criterion and H∞ norm performances, the sufficient conditions of stabilization are outlined and adjusted for systems operating in a forced mode. Numerical simulation is given to illustrate the design procedure and to validate the performances of the proposed approach.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127571346","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}
Monika Zuscikova, Milan Lokšík, Vladímir Villaverde Huertas, C. Belavý
This paper addresses the adaptive control design of a semi-active suspension system. The control system is focused on the driving comfort criteria. For this purpose, it is necessary to emphasize on modeling and connection between vehicle suspension system components. On the other hand, we will compare the obtained results using the designed adaptive control system with the optimal control design applying soft and hard suspension. Moreover, a hydro-pulse will be used for road vibration simulation purposes. In this case, the analysis has been performed over the frequency bandwidth 4-20 Hz considering a constant vehicle speed 80 km/h.
{"title":"Adaptive control design for vehicle suspension","authors":"Monika Zuscikova, Milan Lokšík, Vladímir Villaverde Huertas, C. Belavý","doi":"10.1109/PC.2013.6581415","DOIUrl":"https://doi.org/10.1109/PC.2013.6581415","url":null,"abstract":"This paper addresses the adaptive control design of a semi-active suspension system. The control system is focused on the driving comfort criteria. For this purpose, it is necessary to emphasize on modeling and connection between vehicle suspension system components. On the other hand, we will compare the obtained results using the designed adaptive control system with the optimal control design applying soft and hard suspension. Moreover, a hydro-pulse will be used for road vibration simulation purposes. In this case, the analysis has been performed over the frequency bandwidth 4-20 Hz considering a constant vehicle speed 80 km/h.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125705967","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}
For linear discrete-time descriptor systems anisotropy-based bounded real lemma in terms LMI was formulated and proved. The algorithm of anisotropic norm computation using convex optimization is given. A numerical example is considered.
{"title":"Computation of anisotropic norm for descriptor systems using convex optimization","authors":"A. Belov, O. Andrianova","doi":"10.1109/PC.2013.6581404","DOIUrl":"https://doi.org/10.1109/PC.2013.6581404","url":null,"abstract":"For linear discrete-time descriptor systems anisotropy-based bounded real lemma in terms LMI was formulated and proved. The algorithm of anisotropic norm computation using convex optimization is given. A numerical example is considered.","PeriodicalId":232418,"journal":{"name":"2013 International Conference on Process Control (PC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129849856","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}
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