State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems
This paper investigates the problem of asynchronous repetitive control for a class of discrete-time Markovian switching systems. The control goal is to track a given periodic reference without steady-state error. To achieve this goal, an asynchronous repetitive controller that renders the overall cl...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6195162 |
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| _version_ | 1841524421166104576 |
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| author | Xinghua Liu Guoqi Ma Prabhakar R. Pagilla Shuzhi Sam Ge |
| author_facet | Xinghua Liu Guoqi Ma Prabhakar R. Pagilla Shuzhi Sam Ge |
| author_sort | Xinghua Liu |
| collection | DOAJ |
| description | This paper investigates the problem of asynchronous repetitive control for a class of discrete-time Markovian switching systems. The control goal is to track a given periodic reference without steady-state error. To achieve this goal, an asynchronous repetitive controller that renders the overall closed-loop switched system mean square stable is proposed. To reflect realistic scenarios, the proposed approach does not assume that the system modes are available synchronously to the controller but instead designs a detector that provides estimated values of the system modes to the controller. Based on a detected-mode-dependent estimator, the plant and asynchronous repetitive controller are formulated as a closed-loop stochastic system. By utilizing tools from stochastic Lyapunov–Krasovskii stability theory, we develop sufficient conditions in terms of linear matrix inequalities (LMIs) such that the closed-loop system is mean square stable and also simultaneously establish a synthesis procedure for obtaining the gain matrices. We provide numerical simulations on an electrical circuit switched system to illustrate the approach. |
| format | Article |
| id | doaj-art-d7e8d9d4ecce45f592d9210d45dcd84d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-d7e8d9d4ecce45f592d9210d45dcd84d2025-02-03T05:53:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/61951626195162State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching SystemsXinghua Liu0Guoqi Ma1Prabhakar R. Pagilla2Shuzhi Sam Ge3School of Electrical Engineering, Xi’an University of Technology, Xi’an, Shaanxi 710048, ChinaDepartment of Mechanical Engineering, Dwight Look College of Engineering, Texas A&M University, College Station, TX 77843, USADepartment of Mechanical Engineering, Dwight Look College of Engineering, Texas A&M University, College Station, TX 77843, USADepartment of Electrical and Computer Engineering, National University of Singapore, 117583, SingaporeThis paper investigates the problem of asynchronous repetitive control for a class of discrete-time Markovian switching systems. The control goal is to track a given periodic reference without steady-state error. To achieve this goal, an asynchronous repetitive controller that renders the overall closed-loop switched system mean square stable is proposed. To reflect realistic scenarios, the proposed approach does not assume that the system modes are available synchronously to the controller but instead designs a detector that provides estimated values of the system modes to the controller. Based on a detected-mode-dependent estimator, the plant and asynchronous repetitive controller are formulated as a closed-loop stochastic system. By utilizing tools from stochastic Lyapunov–Krasovskii stability theory, we develop sufficient conditions in terms of linear matrix inequalities (LMIs) such that the closed-loop system is mean square stable and also simultaneously establish a synthesis procedure for obtaining the gain matrices. We provide numerical simulations on an electrical circuit switched system to illustrate the approach.http://dx.doi.org/10.1155/2020/6195162 |
| spellingShingle | Xinghua Liu Guoqi Ma Prabhakar R. Pagilla Shuzhi Sam Ge State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems Complexity |
| title | State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems |
| title_full | State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems |
| title_fullStr | State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems |
| title_full_unstemmed | State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems |
| title_short | State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems |
| title_sort | state estimator based asynchronous repetitive control of discrete time markovian switching systems |
| url | http://dx.doi.org/10.1155/2020/6195162 |
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