Pub Date : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931843
Adrian-Paul Botezatu, L. Ferariu, A. Burlacu, Teodor-Andrei Sauciuc
Visual servoing systems are designed to solve pose alignment problems by providing the necessary linear and angular velocities using data extracted from images. Among the difficulties encountered by the traditional visual servoing approaches, there are feature detection and tracking, camera calibration, scene complexity, and robotic system constraints. Part of these problems can be solved if Convolutional Neural Networks (CNNs) are added to a visual servoing architecture. The main advantage of CNNs is the capability of understanding both the overall structure and specific details of the images corresponding to the current and desired layouts. To take a step further the state-of-the-art architectures, in this paper, we show how extra input data can improve the visual servoing behaviour. The extra data result from maps of regions induced by the feature points' positions, without the necessity of employing tracking. The results obtained on relevant data sets show that the proposed input fusion-based CNN provides an improved approximation of the linear and angular visual servoing velocities.
{"title":"Visual Feedback Control using CNN Based Architecture with Input Data Fusion","authors":"Adrian-Paul Botezatu, L. Ferariu, A. Burlacu, Teodor-Andrei Sauciuc","doi":"10.1109/ICSTCC55426.2022.9931843","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931843","url":null,"abstract":"Visual servoing systems are designed to solve pose alignment problems by providing the necessary linear and angular velocities using data extracted from images. Among the difficulties encountered by the traditional visual servoing approaches, there are feature detection and tracking, camera calibration, scene complexity, and robotic system constraints. Part of these problems can be solved if Convolutional Neural Networks (CNNs) are added to a visual servoing architecture. The main advantage of CNNs is the capability of understanding both the overall structure and specific details of the images corresponding to the current and desired layouts. To take a step further the state-of-the-art architectures, in this paper, we show how extra input data can improve the visual servoing behaviour. The extra data result from maps of regions induced by the feature points' positions, without the necessity of employing tracking. The results obtained on relevant data sets show that the proposed input fusion-based CNN provides an improved approximation of the linear and angular visual servoing velocities.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114945831","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931822
R. Florea, M. Craus
Because of the low detection accuracy of low-rate Distributed Denial of Service (LDDoS) attacks in Software Defined Networks (SDN) in cloud environments, there is a lack of unified frameworks for the data plane, and control plane. To solve the problems of detection and defense against Low-rate DDoS attacks, a unified detection framework for Low-rate DDoS is proposed. The benefit behind SDN is centralizing on the controller the management of the network and the ability to use a custom application for controlling the ingress traffic. The controller issues relevant policies to block the attack flow and secure the availability of services.
{"title":"Modeling an Enterprise Environment for Testing Openstack Cloud Platform against Low-Rate DDoS Attacks","authors":"R. Florea, M. Craus","doi":"10.1109/ICSTCC55426.2022.9931822","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931822","url":null,"abstract":"Because of the low detection accuracy of low-rate Distributed Denial of Service (LDDoS) attacks in Software Defined Networks (SDN) in cloud environments, there is a lack of unified frameworks for the data plane, and control plane. To solve the problems of detection and defense against Low-rate DDoS attacks, a unified detection framework for Low-rate DDoS is proposed. The benefit behind SDN is centralizing on the controller the management of the network and the ability to use a custom application for controlling the ingress traffic. The controller issues relevant policies to block the attack flow and secure the availability of services.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"37 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132432634","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931768
A. Mariniuc, D. Cojocaru, Liviu Florin Manta, Andrei Dragomir, M. Abagiu
The correct measurement of the 3D coordinates for the workspace of different applications is a determining factor for several types of applications. This paper discusses the possibility of using the experience gained in applications such as those mentioned below as a basis for the development of applications in the field of construction. An example of an application is represented by driving mobile robots that navigate while avoiding obstacles. The mobile robot can be an intelligent wheelchair that allows the movement of people with special needs. An intelligent control system for such a mobile system can use the 3D coordinates of the workspace provided by a LIDAR sensor. Another example is the driving of mobile robots with the detection, recognition, and enforcement of the meaning of traffic signs on the route necessary for travel. In these applications, artificial intelligence techniques can be used to process the information provided by scanners and the information from digital images, respectively. Another source of information for defining a 3D workspace is the ZED camera system. From the point of view of the team that proposes this work, the approach of a scanning application for the construction field had to capitalize on the experience gained in implementing 3D scanning applications from other fields, to make the necessary adaptations, and add the specific new and necessary elements.
{"title":"Using 3D Scanning Techniques from Robotic Applications in the Constructions Domain","authors":"A. Mariniuc, D. Cojocaru, Liviu Florin Manta, Andrei Dragomir, M. Abagiu","doi":"10.1109/ICSTCC55426.2022.9931768","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931768","url":null,"abstract":"The correct measurement of the 3D coordinates for the workspace of different applications is a determining factor for several types of applications. This paper discusses the possibility of using the experience gained in applications such as those mentioned below as a basis for the development of applications in the field of construction. An example of an application is represented by driving mobile robots that navigate while avoiding obstacles. The mobile robot can be an intelligent wheelchair that allows the movement of people with special needs. An intelligent control system for such a mobile system can use the 3D coordinates of the workspace provided by a LIDAR sensor. Another example is the driving of mobile robots with the detection, recognition, and enforcement of the meaning of traffic signs on the route necessary for travel. In these applications, artificial intelligence techniques can be used to process the information provided by scanners and the information from digital images, respectively. Another source of information for defining a 3D workspace is the ZED camera system. From the point of view of the team that proposes this work, the approach of a scanning application for the construction field had to capitalize on the experience gained in implementing 3D scanning applications from other fields, to make the necessary adaptations, and add the specific new and necessary elements.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"242 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114337041","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931887
Marius-Alex Mihalcea, C. Pascal, Sebastian-Ioan Alupoaei
In cities, mobile communication has the ground for smart collaborative traffic applications. 5G architectures open, as known, the digital engagement among devices. Thus, this research shows the current state of the cellular network implemented in Iasi city considering a 5G module into a public transport vehicle. The proposed methods for data acquisition, processing, and visualization, illustrate results that highlight zonal/road characteristics favorable or not for V2X communications. Essentially, a GPS data correction solution stands and allows behavior isolation of the vehicle in the traffic. This approach can be used to measure over time the LTE and 5G systems.
{"title":"A View of the 5G Network in Iasi City for Automotive","authors":"Marius-Alex Mihalcea, C. Pascal, Sebastian-Ioan Alupoaei","doi":"10.1109/ICSTCC55426.2022.9931887","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931887","url":null,"abstract":"In cities, mobile communication has the ground for smart collaborative traffic applications. 5G architectures open, as known, the digital engagement among devices. Thus, this research shows the current state of the cellular network implemented in Iasi city considering a 5G module into a public transport vehicle. The proposed methods for data acquisition, processing, and visualization, illustrate results that highlight zonal/road characteristics favorable or not for V2X communications. Essentially, a GPS data correction solution stands and allows behavior isolation of the vehicle in the traffic. This approach can be used to measure over time the LTE and 5G systems.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132052226","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931845
D. Aiordachioaie
The aim of the paper is to estimate the Renyi entropy of time-frequency images, as descriptors of the information content and change detection purposes. The Renyi entropy is estimated by two approaches. Firstly, the image is properly normalized to estimate a probability density function. This approach is called Direct. Secondly, by using a statistical model based on probabilities, given by the histogram of the image. The approach is named Indirect. The estimation approaches are evaluated on artificially generated signals, commonly used in the field of communication engineering. Both estimations have no information about spatiality. The estimated entropies could be used as features extracted from time-frequency images. A change detection criterion is promoted based on cumulative sum function applied to the estimated entropies, followed by a double statistical expectation. The experiments show an optimum working point, to maximize the change detection criterion. The decomposition of the time-frequency image and, next, the computation of the Renyi entropy on sub-images or regions of interest, seems to be an interesting solution to follow.
{"title":"On the use of Renyi Entropy of Time-Frequency Images for Change Detection","authors":"D. Aiordachioaie","doi":"10.1109/ICSTCC55426.2022.9931845","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931845","url":null,"abstract":"The aim of the paper is to estimate the Renyi entropy of time-frequency images, as descriptors of the information content and change detection purposes. The Renyi entropy is estimated by two approaches. Firstly, the image is properly normalized to estimate a probability density function. This approach is called Direct. Secondly, by using a statistical model based on probabilities, given by the histogram of the image. The approach is named Indirect. The estimation approaches are evaluated on artificially generated signals, commonly used in the field of communication engineering. Both estimations have no information about spatiality. The estimated entropies could be used as features extracted from time-frequency images. A change detection criterion is promoted based on cumulative sum function applied to the estimated entropies, followed by a double statistical expectation. The experiments show an optimum working point, to maximize the change detection criterion. The decomposition of the time-frequency image and, next, the computation of the Renyi entropy on sub-images or regions of interest, seems to be an interesting solution to follow.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"454 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134139859","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931885
Ahmed Elkamel, A. Morsi, M. Darwish, H. S. Abbas, Mohamed H. Amin
Linear parameter-varying (LPV) modeling is a powerful framework for representing time-varying systems as well as nonlinear dynamics in terms of a linear structure dependent on a time-varying parameter known as the scheduling parameter. Combining model predictive control (MPC) with LPV predictors (LPVMPC) results in an efficient parameter-dependent MPC approach. However, the future trajectory of the scheduling parameter required for formulating the LPVMPC optimization problem is not known in advance. In this paper, a Bayesian nonparametric approach within Gaussian process (GP) regression framework is introduced to predict the future behavior of the scheduling parameter over the MPC prediction horizon, which can be exploited by the proposed LPVMPC approach. The performance of the presented approach, i.e., GP-LPVMPC, is tested on a simulation example, where it is demonstrated that it outperforms the LPVMPC when the scheduling variable is frozen over the MPC prediction horizon in terms of convergence and control performance.
{"title":"Model Predictive Control of Linear Parameter-Varying Systems Using Gaussian Processes","authors":"Ahmed Elkamel, A. Morsi, M. Darwish, H. S. Abbas, Mohamed H. Amin","doi":"10.1109/ICSTCC55426.2022.9931885","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931885","url":null,"abstract":"Linear parameter-varying (LPV) modeling is a powerful framework for representing time-varying systems as well as nonlinear dynamics in terms of a linear structure dependent on a time-varying parameter known as the scheduling parameter. Combining model predictive control (MPC) with LPV predictors (LPVMPC) results in an efficient parameter-dependent MPC approach. However, the future trajectory of the scheduling parameter required for formulating the LPVMPC optimization problem is not known in advance. In this paper, a Bayesian nonparametric approach within Gaussian process (GP) regression framework is introduced to predict the future behavior of the scheduling parameter over the MPC prediction horizon, which can be exploited by the proposed LPVMPC approach. The performance of the presented approach, i.e., GP-LPVMPC, is tested on a simulation example, where it is demonstrated that it outperforms the LPVMPC when the scheduling variable is frozen over the MPC prediction horizon in terms of convergence and control performance.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134613712","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931892
Elena-Lorena Hedrea, R. Precup, Raul-Cristian Roman, C. Dragos, Alexandra-Iulia Szedlak-Stînean, Ciprian Hedrea
In this paper, the design and validation of 20 Control System (CS) structures for the level control cof Vertical Three Tank Systems (V3TSs) is presented. At first a TP model and four linear models are derived for a V3TS. Next, five CS structures are designed for each model consisting in a Tensor Product (TP) controller and four state feedback controllers tuned using linear matrix inequalities and the parallel distributed compensation technique. Finally, in order to ensure zero steady–state control error, the five CS structures were included in Cascade Control System (CCS) structures with Proportional–Integral–Derivative (PID) controller in the outer control loop. All CS structures were tested in the same experimental scenario and a comparative analysis was also conducted by computing two performance indices, namely the mean square error and the settling time. The experimental results have shown that, unlike the TP-based CS structures, the CCS structures with PID controller in the outer control loop ensure better performance in terms of zero steady–state control error.
{"title":"Tensor Product-based and State Feedback Structures for Level Control of Vertical Three Tank Systems","authors":"Elena-Lorena Hedrea, R. Precup, Raul-Cristian Roman, C. Dragos, Alexandra-Iulia Szedlak-Stînean, Ciprian Hedrea","doi":"10.1109/ICSTCC55426.2022.9931892","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931892","url":null,"abstract":"In this paper, the design and validation of 20 Control System (CS) structures for the level control cof Vertical Three Tank Systems (V3TSs) is presented. At first a TP model and four linear models are derived for a V3TS. Next, five CS structures are designed for each model consisting in a Tensor Product (TP) controller and four state feedback controllers tuned using linear matrix inequalities and the parallel distributed compensation technique. Finally, in order to ensure zero steady–state control error, the five CS structures were included in Cascade Control System (CCS) structures with Proportional–Integral–Derivative (PID) controller in the outer control loop. All CS structures were tested in the same experimental scenario and a comparative analysis was also conducted by computing two performance indices, namely the mean square error and the settling time. The experimental results have shown that, unlike the TP-based CS structures, the CCS structures with PID controller in the outer control loop ensure better performance in terms of zero steady–state control error.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132874056","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931889
Thang Nguyen, C. Edwards, G. Herrmann, Kaiqiang Zhang, S. G. Khan
In this paper, we investigate an estimation problem in a Transverse Dynamic Force Microscope (TDFM). The dynamics of its cantilever is considered for which an approximate finite dimensional model is obtained by using a truncated method. With this model, discrete-time estimators are proposed to estimate the parameters of the shear force between the cantilever and the specimen. Numerical simulations were conducted to show the effectiveness of the proposed methods.
{"title":"Discrete-time Implementation of Adaptive Estimation in the Transverse Dynamic Force Microscope","authors":"Thang Nguyen, C. Edwards, G. Herrmann, Kaiqiang Zhang, S. G. Khan","doi":"10.1109/ICSTCC55426.2022.9931889","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931889","url":null,"abstract":"In this paper, we investigate an estimation problem in a Transverse Dynamic Force Microscope (TDFM). The dynamics of its cantilever is considered for which an approximate finite dimensional model is obtained by using a truncated method. With this model, discrete-time estimators are proposed to estimate the parameters of the shear force between the cantilever and the specimen. Numerical simulations were conducted to show the effectiveness of the proposed methods.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122228639","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931826
B. Lazar, Z. Lendek
This paper considers the design of observer based guaranteed cost control of time-delay nonlinear systems repre-sented by TS fuzzy models. We consider that both the states and the inputs are affected by time varying delay, which is assumed to be known. We propose conditions for observer and controller design with the aim that the closed-loop is asymptotically stable and the cost is minimized. The conditions are bilinear and we solve them in two steps. We also give different possibilities for minimizing the cost function along with a performance comparison between them. The results are validated on a numerical example,
{"title":"Observer based guaranteed cost control for time-delay TS fuzzy systems","authors":"B. Lazar, Z. Lendek","doi":"10.1109/ICSTCC55426.2022.9931826","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931826","url":null,"abstract":"This paper considers the design of observer based guaranteed cost control of time-delay nonlinear systems repre-sented by TS fuzzy models. We consider that both the states and the inputs are affected by time varying delay, which is assumed to be known. We propose conditions for observer and controller design with the aim that the closed-loop is asymptotically stable and the cost is minimized. The conditions are bilinear and we solve them in two steps. We also give different possibilities for minimizing the cost function along with a performance comparison between them. The results are validated on a numerical example,","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130450167","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 : 2022-10-19DOI: 10.1109/ICSTCC55426.2022.9931859
O. Pastravanu, M. Matcovschi, M. Voicu
The concept of “componentwise asymptotic stability” (abbreviated CWAS) was initially introduced as a special type of stability for single-model linear systems, with continuous- or discrete-time dynamics. Subsequently, the framework was enlarged to encompass linear systems with interval-type uncertainties. For both these classes of systems with continuous-time dynamics, previous works show that an essentially-nonnegative matrix, generically denoted U, can be built as a CWAS testing instrument, which exploits the equivalence between the statements “system is CWAS” and “Perron-Frobenius eigenvalue of U is negative”. The current article extends the aforementioned result to the general case of linear systems with arbitrary polytopic uncertainties. A family of essentially nonnegative matrices is constructed by considering the row-representative theory and the matrices associated with the polytope's vertices; the CWAS testing principle relies on the representative matrices (matrix) that possess (possesses) the maximum Peron-Frobenius eigenvalue (meaning the generalization of U's role). An example based on the operation of a mechanical system with polytopic uncertainties illustrates the construction of the test matrix / matrices and the applicability in CWAS analysis. The paper focuses on continuous-time dynamics as corresponding to the traditional mathematical scenario of differential equations defined on compact sets, but the new result can be easily adapted to discrete-time dynamics.
{"title":"Test Matrices for Componentwise Asymptotic Stability of Polytopic Systems","authors":"O. Pastravanu, M. Matcovschi, M. Voicu","doi":"10.1109/ICSTCC55426.2022.9931859","DOIUrl":"https://doi.org/10.1109/ICSTCC55426.2022.9931859","url":null,"abstract":"The concept of “componentwise asymptotic stability” (abbreviated CWAS) was initially introduced as a special type of stability for single-model linear systems, with continuous- or discrete-time dynamics. Subsequently, the framework was enlarged to encompass linear systems with interval-type uncertainties. For both these classes of systems with continuous-time dynamics, previous works show that an essentially-nonnegative matrix, generically denoted U, can be built as a CWAS testing instrument, which exploits the equivalence between the statements “system is CWAS” and “Perron-Frobenius eigenvalue of U is negative”. The current article extends the aforementioned result to the general case of linear systems with arbitrary polytopic uncertainties. A family of essentially nonnegative matrices is constructed by considering the row-representative theory and the matrices associated with the polytope's vertices; the CWAS testing principle relies on the representative matrices (matrix) that possess (possesses) the maximum Peron-Frobenius eigenvalue (meaning the generalization of U's role). An example based on the operation of a mechanical system with polytopic uncertainties illustrates the construction of the test matrix / matrices and the applicability in CWAS analysis. The paper focuses on continuous-time dynamics as corresponding to the traditional mathematical scenario of differential equations defined on compact sets, but the new result can be easily adapted to discrete-time dynamics.","PeriodicalId":220845,"journal":{"name":"2022 26th International Conference on System Theory, Control and Computing (ICSTCC)","volume":"89 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120865424","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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