Robust control and fault detection for continuous-time switched systems subject to a dwell time constraint
Summary This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time constraint. To meet the control and detection objectives under the constraint, the controller/detectors matching different time intervals are...
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| Published in | International journal of robust and nonlinear control Vol. 25; no. 18; pp. 3799 - 3817 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Blackwell Publishing Ltd
01.12.2015
Wiley Subscription Services, Inc |
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| Online Access | Get full text |
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| Abstract | Summary
This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time constraint. To meet the control and detection objectives under the constraint, the controller/detectors matching different time intervals are first constructed in an output feedback framework. A state‐dependent switching law that obeys the dwell time constraint is then designed such that the closed‐loop switched system is asymptotically stable and also with the robust and detection performance. Further, the proposed switching law is dependent only on the partial measurable states of the closed‐loop system, which is applicable when the states of system mode are fully unavailable. Thus, our result extends the existing ones in state‐dependent switching and state‐feedback frameworks. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd. |
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| AbstractList | This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time constraint. To meet the control and detection objectives under the constraint, the controller/detectors matching different time intervals are first constructed in an output feedback framework. A state‐dependent switching law that obeys the dwell time constraint is then designed such that the closed‐loop switched system is asymptotically stable and also with the robust and detection performance. Further, the proposed switching law is dependent only on the partial measurable states of the closed‐loop system, which is applicable when the states of system mode are fully unavailable. Thus, our result extends the existing ones in state‐dependent switching and state‐feedback frameworks. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd. Summary This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time constraint. To meet the control and detection objectives under the constraint, the controller/detectors matching different time intervals are first constructed in an output feedback framework. A state‐dependent switching law that obeys the dwell time constraint is then designed such that the closed‐loop switched system is asymptotically stable and also with the robust and detection performance. Further, the proposed switching law is dependent only on the partial measurable states of the closed‐loop system, which is applicable when the states of system mode are fully unavailable. Thus, our result extends the existing ones in state‐dependent switching and state‐feedback frameworks. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd. Summary This paper is concerned with the simultaneous robust control and fault detection problem for continuous-time switched systems subject to a dwell time constraint. To meet the control and detection objectives under the constraint, the controller/detectors matching different time intervals are first constructed in an output feedback framework. A state-dependent switching law that obeys the dwell time constraint is then designed such that the closed-loop switched system is asymptotically stable and also with the robust and detection performance. Further, the proposed switching law is dependent only on the partial measurable states of the closed-loop system, which is applicable when the states of system mode are fully unavailable. Thus, our result extends the existing ones in state-dependent switching and state-feedback frameworks. Finally, a numerical example is given to illustrate the effectiveness of the proposed method. Copyright © 2015 John Wiley & Sons, Ltd. |
| Author | Zhong, Guang-Xin Yang, Guang-Hong |
| Author_xml | – sequence: 1 givenname: Guang-Xin surname: Zhong fullname: Zhong, Guang-Xin organization: College of Information Science and Engineering, Northeastern University, 110819, Shenyang, China – sequence: 2 givenname: Guang-Hong surname: Yang fullname: Yang, Guang-Hong email: Correspondence to: Guang-Hong Yang, College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China; State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China., yangguanghong@ise.neu.edu.cn organization: College of Information Science and Engineering, Northeastern University, 110819, Shenyang, China |
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Automatica 1994; 30(5):789-804. Yang HJ, Xia YQ, Liu B. Fault detection for T-S fuzzy discrete systems in finite-frequency domain. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 2011; 41(4):911-920. Li XJ, Yang G-H. Dynamic observer-based robust control and fault detection for linear systems. IET Control Theory and Applications 2012; 17(6):2657-2666. Allerhand LI, Shaked U. Robust state-dependent switching of linear systems with dwell time. IEEE Transactions on Automatic Control 2013; 58(4):994-1001. Zhang K, Jang B, Staroswiecki M. Dynamic output feedback-fault tolerant controller design for Takagi-Sugeno fuzzy systems with actuator faults. IEEE Transactions on Fuzzy Systems 2010; 18(1):194-201. Geromel JC, Colaneri P. Stability and stabilization of continuous-time switched linear systems. SIAM Journal on Control and Optimization 2006; 45(5):1915-1930. Geromel JC, Colaneri P, Bolzern P. Dynamic output feedback control of switched linear systems. 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| References_xml | – reference: Ding X. Integrated design of feedback controllers and fault detectors. Annual Reviews in Control 2003; 33(2):124-135. – reference: Zhai GS, Lin H, Antsaklis PJ. Quadratic stabilizability of switched linear systems with polytopic uncertainties. International Journal of Control 2003; 76(7):747-753. – reference: Galbusera L, Bolzern P, Deaecto GS, Geromel JC. State and output feedback H∞ control of time-delay switched linear systems. International Journal of Robust and Nonlinear Control 2012; 22(15):1674-1690. – reference: Zhai GS, Lin H. Controller failure time analysis for symmetric H∞ control systems. International Journal of Control 2004; 77(6):598-605. – reference: Jacobson CA, Nett CN. An integrated approach to controls and diagnostics, using the four parameter controller. IEEE Transactions on Control Systems Magazine 1991; 11(6):22-29. – reference: Sun XM, Zhao J. Stability and L2-gain analysis for switched delay systems: a delay-dependent method. Automatica 2009; 42(10):1769-1774. – reference: Allerhand LI, Shaked U. Robust state-dependent switching of linear systems with dwell time. IEEE Transactions on Automatic Control 2013; 58(4):994-1001. – reference: Wang D, Shi P, Wang W. Robust fault detection for continuous-time switched delay systems: an linear matrix inequality approach. IET Control Theory & Applications 2010; 4(1):100-108. – reference: Liberzon D, Morse AS. Basic problems in stability and design of switched systems. IEEE Transactions on Control System magzine 1999; 19(5):59-70. – reference: Davoodi MR, Golabi A, Talebi HA, Momeni HR. Simultaneous fault detection and control design for switched linear systems based on dynamic observer. Optimal Control Applicians and Methods 2013; 34(1):35-52. – reference: Wang H, Yang G-H. Simultaneous fault detection and control for uncertain linear discrete-time systems. IET Control Theory and Applications 2009; 5(3):583-594. – reference: Davoodi MR, Golabi A, Talebi HA, Momeni HR. Simultaneous fault detection and control design for switched linear systems: a linear matrix inequality approach. Journal of Dynamic Systems, Measurement, and Control 2012; 134(6):1-10. – reference: Li J, Yang G-H. Simultaneous fault detection and control for switched systems under asynchronous switching. Proceedings of the Institution of Mechnical Engineers Part I-Joural of Sytems and Control Engineering 2013; 227(1):70-84. – reference: Allerhand LI, Shaked U. Robust control of linear systems via switching. IEEE Transactions on Automatic Control 2013; 58(2):506-512. – reference: Frank PM, Ding X. Frequency domain approach to optimally robust residual generation and evaluation for model-based fault diagnosis. Automatica 1994; 30(5):789-804. – reference: Deaecto GS, Geromel JC, Daafouz J. Dynamic output feedback H∞ control of switched linear systems. Automatica 2012; 47(8):1713-1720. – reference: Khosrowjerdi MJ, Nikoukhah R, Safari-shad N. A mixed H2/H∞ approach to simultaneously fault detection and control. Autmatica 2004; 40:261-267. – reference: Lin H, Antsaklis PJ. Stability and stabilizability of switched linear systems: a survey of recent results. IEEE Transactions on Automatic Control 2009; 54(2):308-322. – reference: Frank PM. Survey of robust residual generation and evaluation methods in observer-based fault detection systems. Journal of Process Control 1997; 7(6):403-424. – reference: Jang B, Zhang K, Shi P. Integrated fault estimation and accommodation design for discrete-time Takagi-Sugeno fuzzy systems with actuator faults. IEEE Transactions on Fuzzy Systems 2011; 19(2):291-304. – reference: Yang HJ, Xia YQ, Zhang JH. Generalised finite-frequency KYP lemma in delta domain and applications to fault detection. International Journal of Control 2011; 84(3):511-525. – reference: Zhang K, Jang B, Staroswiecki M. Dynamic output feedback-fault tolerant controller design for Takagi-Sugeno fuzzy systems with actuator faults. IEEE Transactions on Fuzzy Systems 2010; 18(1):194-201. – reference: Li XJ, Yang G-H. Dynamic observer-based robust control and fault detection for linear systems. IET Control Theory and Applications 2012; 17(6):2657-2666. – reference: Geromel JC, Colaneri P, Bolzern P. Dynamic output feedback control of switched linear systems. IEEE Transactions on Automatic Control 2008; 53(3):720-733. – reference: Yang HJ, Xia YQ, Liu B. Fault detection for T-S fuzzy discrete systems in finite-frequency domain. IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics 2011; 41(4):911-920. – reference: Allerhand LI, Shaked U. Robust stability and stabilization of linear switched systems with dwell time. IEEE Transactions on Automatic Control 2011; 56(2):381-386. – reference: Zhao J, Hill DJ. On the stability, l2-gain and H∞ control for switched systems. 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This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time... This paper is concerned with the simultaneous robust control and fault detection problem for continuous‐time switched systems subject to a dwell time... Summary This paper is concerned with the simultaneous robust control and fault detection problem for continuous-time switched systems subject to a dwell time... |
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| SubjectTerms | dwell time fault detection robust control state-dependent switching switched systems |
| Title | Robust control and fault detection for continuous-time switched systems subject to a dwell time constraint |
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