A switched system approach to exponential filtering design for Takagi–Sugeno fuzzy systems with sampled-data measurements subject to packet dropouts
Corresponding Author
Meng Wang
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Correspondence Meng Wang, Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China.
Email: [email protected]
Search for more papers by this authorHuaicheng Yan
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Search for more papers by this authorZhichen Li
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Search for more papers by this authorYongxiao Tian
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Search for more papers by this authorCorresponding Author
Meng Wang
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Correspondence Meng Wang, Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China.
Email: [email protected]
Search for more papers by this authorHuaicheng Yan
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Search for more papers by this authorZhichen Li
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Search for more papers by this authorYongxiao Tian
Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, China
Search for more papers by this authorFunding information: National Natural Science Foundation of China, Grant/Award Numbers: 62003139; 62103146; Natural Science Foundation of Shanghai, Grant/Award Number: 20ZR1415200; China Postdoctoral Science Foundation, Grant/Award Numbers: 2020TQ0096; 2021M690056
Abstract
This article studies the problem of exponential filtering design for Takagi–Sugeno fuzzy systems with sampled-data measurements under the data packet dropout phenomenon. A novel switched system approach is developed, and thus the resulting filtering error system is rewritten in a time-varying delayed switched system form. Based on novel piecewise time-dependent Lyapunov functionals, sufficient conditions are obtained to guarantee the exponential stability with performance of the filtering error system. The full-/reduced-order filter design results in the form of solving a set of linear matrix inequalities are obtained. Finally, simulation results are provided to show the effectiveness of the method.
CONFLICT OF INTEREST
The authors declare no potential conflict of interests.
Open Research
DATA AVAILABILITY STATEMENT
Data sharing is not applicable to this article as no new data were created or analyzed in this study.
REFERENCES
- 1Sugeno M. Industrial Applications of Fuzzy Control. Elsevier; 1985.
- 2Tanaka K, Sano M. A robust stabilization problem of fuzzy control systems and its applications to backing up control of a truck-trailer. IEEE Trans Fuzzy Syst. 1994; 2(2): 119-134.
- 3Tanaka T, Wang HO. Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach. Wiley; 2001.
10.1002/0471224596 Google Scholar
- 4Cao SG, Rees NW, Feng G. Analysis and design for a class of complex control systems Part II: fuzzy controller design. Automatica. 1997; 33(6): 1029-1039.
- 5 Wu Z-G, Dong S, Shi P, Zhang D, Huang T. Reliable filter design of Takagi-Sugeno fuzzy switched systems with imprecise modes. IEEE Trans Cybern. 2020; 50(5): 1941-1951.
- 6Qiu J, Feng G, Gao H. Observer-based piecewise affine output feedback controller synthesis of continuous-time T-S fuzzy affine dynamic systmes using quantized measurements. IEEE Trans Fuzzy Syst. 2012; 20(6): 1046-1062.
- 7Song X, Wang M, Zhang Q, Song S, Wang Z. Takagi-Sugeno fuzzy-model-based event-triggered point control for semilinear partial differential equation systems using collocated pointwise measurements. Int J Robust Nonlinear Control. 2021; 31(4): 1122-1144.
- 8Wu Z-G, Dong S, Su H, Li C. Asynchronous dissipative control for fuzzy Markov jump systems. IEEE Trans Cybern. 2018; 48(8): 2426-2436.
- 9 Zhu S, Tian E, Xu D, Liu J. An adaptive torus-event-based controller design for networked T-S fuzzy systems under deception attacks. Int J Robust Nonlinear Control. 2022; 32(6): 3425-3441. doi:10.1002/rnc.5957
- 10Fan C, Lam J, Xie X. Fault estimation for periodic piecewise T-S fuzzy systems. Int J Robust Nonlinear Control. 2021; 31(16): 8055-8074.
- 11Shi S, Fei Z, Shi P, Ahn CK. Asynchronous filtering for discrete-time switched T-S fuzzy systems. IEEE Trans Fuzzy Syst. 2020; 28(8): 1531-1541.
- 12Ran G, Li C, Sakthivel R, Han C, Wang B, Liu J. Adaptive event-triggered asynchronous control for interval type-2 fuzzy Markov jump systems with cyberattacks. IEEE Trans Control Netw Syst. 2022; 9(1): 88-99.
- 13Chen T, Francis B. Optimal Sampled-Data Control Systems. Springer; 1995.
10.1007/978-1-4471-3037-6 Google Scholar
- 14Wu Z-G, Shi P, Su H, Chu J. Sampled-data fuzzy control of chaotic systems based on a T-S fuzzy model. IEEE Trans Fuzzy Syst. 2014; 22(1): 153-163.
- 15 Hu Z, Ren H, Deng F, Li H. Stabilization of sampled-data systems with noisy sampling intervals and packet dropouts via a discrete-time approach. IEEE Trans Automat Contr. 2022; 67(6): 3204-3211. doi:10.1109/TAC.2021.3096925
- 16Dreef DJ, Donkers MCF. H∞ and H2 optimal sampled-data controller synthesis: a hybrid systems approach with mixed discrete/continuous specifications. Automatica. 2021; 125:109382.
- 17Ma W, Jia X, Yang F, Zhang D. An impulsive-switched-system approach to aperiodic sampled-data systems with time-delay control. Int J Robust Nonlinear Control. 2018; 28(6): 2484-2494.
- 18Fridman E, Seuret A, Richard J. Robust sampled-data stabilization of linear systems: an input delay approach. Automatica. 2004; 40(8): 1441-1446.
- 19Wei Y, Qiu J, Karimi HR. A novel approach to sampled-data filter design for piecewise-affine systems. Automatica. 2019; 109:108481.
- 20Hua C, Wu S, Guan X. Stabilization of T-S fuzzy system with time delay under sampled-data control using a new looped-functional. IEEE Trans Fuzzy Syst. 2020; 28(2): 400-407.
- 21Ge C, Park JH, Hua C, Guan X. Dissipativity analysis for T-S fuzzy system under memory sampled-data control. IEEE Trans Cybern. 2021; 51(2): 961-969.
- 22Su X, Chen Q, Jiao C, Dai X. Output feedback fuzzy control of nonlinear dynamic systems: event-triggered case. Int J Robust Nonlinear Control. 2021; 31(14): 6527-6548.
- 23Zheng W, Zhang Z, Sun F, Wen S, Li X, Wang H. Robust output feedback control for type-2 Takagi-Sugeno fuzzy systems with multiple time-delays and disturbances: a descriptor redundancy approach. Int J Robust Nonlinear Control. 2021; 31(13): 6095-6122.
- 24Yang H, Guo X, Dai L, Xia Y. Event-triggered predictive control for networked control systems with network-induced delays and packet dropouts. Int J Robust Nonlinear Control. 2018; 28(4): 1350-1365.
- 25Li X, Hou X. Robust design of iterative learning control for a batch process described by 2D Roesser system with packet dropouts and time-varying delays. Int J Robust Nonlinear Control. 2020; 30(3): 1035-1049.
- 26Zhang Z, Dong J. Sampled-data containment control for Takagi-Sugeno fuzzy multiagent systems with packet losses. Int J Robust Nonlinear Control. 2020; 30(18): 8362-8381.
- 27Wang S, Jiang Y, Li Y. Distributed consensus fault detection for uncertain T-S fuzzy systems with time-varying delays over lossy sensor networks. Asian J Control. 2018; 20(6): 2171-2184.
- 28Qiu J, Feng G, Gao H. Asynchronous output-feedback control of networked nonlinear systems with multiple packet dropouts: T-S fuzzy affine model-based approach. IEEE Trans Fuzzy Syst. 2011; 19(6): 1014-1030.
- 29Han F, Feng G, Wang Y, Qiu J, Zhang C. A novel dropout compensation scheme for control of networked T-S fuzzy dynamic systems. Fuzzy Sets Syst. 2014; 235(16): 44-61.
- 30Wang M, Qiu J, Chadli M, Wang M. A switched system approach to exponential stabilization of sampled-data T-S fuzzy systems with packet dropouts. IEEE Trans Cybern. 2016; 46(12): 3145-3156.
- 31Zhang M, Shen C, Wu Z-G, Zhang D. Dissipative filtering for switched fuzzy systems with missing measurements. IEEE Trans Cybern. 2020; 50(5): 1931-1940.
- 32Wang X-L, Yang G-H. Event-triggered filtering for discrete-time T-S fuzzy systems via network delay optimization technique. IEEE Trans Syst Man Cybern Syst. 2019; 49(10): 2026-2035.
- 33Shi S, Fei Z, Wang T, Xu Y. Filtering for switched T-S fuzzy systems with persistent dwell time. IEEE Trans Cybern. 2019; 49(5): 1923-1931.
- 34Nguyen A-T, Campos V, Guerra T-M, Pan J. Takagi-Sugeno fuzzy observer design for nonlinear descriptor systems with unmeasured premise variables and unknown inputs. Int J Robust Nonlinear Control. 2021; 31(17): 8353-8372.
- 35Ran G, Li C, Lam H-K, Li D, Han C. Event-based dissipative control of interval type-2 fuzzy Markov jump systems under sensor saturation and actuator nonlinearity. IEEE Trans Fuzzy Syst. 2022; 30(3): 714-727.
- 36 Liu J, Ran G, Huang Y, Han C, Yu Y, Sun C. Adaptive event-triggered finite-time dissipative filtering for interval type-2 fuzzy Markov jump systems with asynchronous modes. IEEE Trans Cybern. 2021. doi:10.1109/TCYB.2021.3053627
- 37Zheng Q, Xu S, Zhang Z. Nonfragile quantized filtering for discrete-time wwitched T-S fuzzy systems with local nonlinear models. IEEE Trans Fuzzy Syst. 2021; 29(6): 1507-1517.
- 38Hu J, Jia C, Liu H, Yi X, Liu Y. A survey on state estimation of complex dynamical networks. Int J Syst Sci. 2021; 52(16): 3351-3367.
- 39Chen G, Chen Y, Zeng H-B. Event-triggered filter design for sampled-data systems with quantization. ISA Trans. 2020; 101: 170-176.
- 40Qiu J, Ji W, Lam H-K, Wang M. Fuzzy-affine-model-based sampled-data filtering design for stochastic nonlinear systems. IEEE Trans Fuzzy Syst. 2021; 29(11): 3360-3373.
- 41Qiu J, Ji W, Rudas IJ, Gao H. Asynchronous sampled-data filtering design for fuzzy-affine-model-based stochastic nonlinear systems. IEEE Trans Cybern. 2021; 51(8): 3964-3974.
- 42Chen G, Sun J, Chen J. Mean square exponential stabilization of sampled-data Markovian jump systems. Int J Robust Nonlinear Control. 2018; 28(18): 5876-5894.
- 43Shi K, Wang J, Tang Y, Zhong S. Reliable asynchronous sampled-data filtering of T-S fuzzy uncertain delayed neural networks with stochastic switched topologies. Fuzzy Sets Syst. 2020; 381(15): 1-25.
- 44Luo J, Liu X, Tian W, Zhong S, Shi K. Nonfragile sampled-data filtering of uncertain fuzzy systems with time-varying delays. IEEE Trans Syst Man Cybern Syst. 2021; 51(8): 4993-5004.
- 45Li Z, Teng J, Qiu J, Gao H. Filtering design for multirate sampled-data systems. IEEE Trans Syst Man Cybern Syst. 2020; 50(11): 4224-4232.
- 46 Jin Y, Kwon W, Lee S. Further results on sampled-data filtering for T-S fuzzy systems with asynchronous premise variables. IEEE Trans Fuzzy Syst. 2022; 30(6): 1864-1874. doi:10.1109/TFUZZ.2021.3069319
- 47Zhang W-A, Li Y. Stabilization of sampled-data control systems with control inputs missing. IEEE Trans Automat Contr. 2010; 55(2): 447-452.
- 48Chen W-H, Zheng WX. An improved stabilization method for sampled-data control systems with control packet loss. IEEE Trans Automat Contr. 2012; 57(9): 2378-2384.
- 49Fridman E. A refined input delay approach to sampled-data control. Automatica. 2010; 46: 421-427.
- 50Zhang X-M, Han Q-L, Ge X, Ding L. Resilient control design based on a sampled-data model for a class of networked control systems under denial-of-service attacks. IEEE Trans Cybern. 2020; 50(8): 3616-3626.
- 51 Qi W, Yang X, Park JH, Cao J, Cheng J. Fuzzy SMC for quantized nonlinear stochastic switching systems with semi-Markovian process and application. IEEE Trans Cybern. 2021. doi:10.1109/TCYB.2021.3069423
- 52Qi W, Gao X, Ahn CK, Cao J, Cheng J. Fuzzy integral sliding-mode control for nonlinear semi-Markovian switching systems with application. IEEE Trans Syst Man Cybern Syst. 2022; 52(3): 1674-1683.
- 53 Qi W, Lv C, Zong G, Ahn CK. Sliding mode control for fuzzy networked semi-Markov switching models under cyber attacks. Trans Circuits Syst II Exp Briefs. 2021. doi:10.1109/TCSII.2021.3137196
- 54Ge X, Jiang X, Han QL. Fuzzy sampled-data filtering for systems with time-varying delays and variable sampling periods. Proceedings of the American Control Conference (ACC); 2012: 5568-5573.
- 55Yoneyama J. Robust filtering for sampled-data fuzzy systems. Fuzzy Sets Syst. 2013; 217: 110-129.