Abstract
This chapter is concerned with the asynchronous dissipative control design problems for fuzzy MJSs in continuous-time and discrete-time domains, respectively. Fuzzy asynchronous controllers are constructed via applying the PDC approach and the HMM. We apply the Lyapunov function to achieve sufficient conditions, which ensure the stochastic stability of the closed-loop system with strict dissipativity performance. Moreover, the desired dissipative controller parameters can be obtained via Matlab Toolbox.
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References
Wu, H.N.: Reliable robust \({H}_\infty \) fuzzy control for uncertain nonlinear systems with Markovian jumping actuator faults. J. Dyn. Syst. Meas. Control 129(3), 252–261 (2007)
Wu, H.-N., Cai, K.-Y.: Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 36(3), 509–519 (2005)
Tan, Z., Soh, Y., Xie, L.: Dissipative control for linear discrete-time systems. Automatica 35(9), 1557–1564 (1999)
Willems, J.: Dissipative dynamical systems, part I: general theory. Arch. Ration. Mech. Anal. 45(5), 321–393 (1972)
Willems, J.: Dissipative dynamical systems, part II: linear systems with quadratic supply rates. Arch. Ration. Mech. Anal. 45(5), 321–393 (1972)
Wu, Z.-G., Shi, P., Shu, Z., Su, H., Lu, R.: Passivity-based asynchronous control for Markov jump systems. IEEE Trans. Autom. Control 62(4), 2020–2025 (2017)
Tian, E., Yue, D., Yang, T.C., Gu, Z., Lu, G.: T-S fuzzy model-based robust stabilization for networked control systems with probabilistic sensor and actuator failure. IEEE Trans. Fuzzy Syst. 19(19), 553–561 (2011)
Tanaka, K., Ikeda, T., Wang, H.O.: Robust stability of a class of uncertain nonlinear systems via fuzzy control: quadratic stability, \({H}_\infty \) control theory, and linear matrix inequalities. IEEE Trans. Fuzzy Syst. 40(1), 1–13 (1996)
Wu, Z.-G., Shi, P., Su, H., Lu, R.: Dissipativity-based sampled-data fuzzy control design and its application to truck-trailer system. IEEE Trans. Fuzzy Syst. 23(5), 1669–1679 (2015)
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Dong, S., Wu, ZG., Shi, P. (2020). Asynchronous Control of Fuzzy MJSs Subject to Strict Dissipativity. In: Control and Filtering of Fuzzy Systems with Switched Parameters. Studies in Systems, Decision and Control, vol 268. Springer, Cham. https://doi.org/10.1007/978-3-030-35566-1_5
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DOI: https://doi.org/10.1007/978-3-030-35566-1_5
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