Reliable H ∞ control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure

Journal of the Franklin Institute - Tập 355 - Trang 3853-3872 - 2018
Zhaohui Chen1,2, Zhong Cao3, Qi Huang4, Stephen L. Campbell2
1Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, China
2Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA
3School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China
4Sichuan Provincial key Lab of Power System Wide-area Measurement and Control, University of Electronic Science and Technology of China, Chengdu 611731, China

Tài liệu tham khảo

Cao, 2000, Robust H∞ control of uncertain Markovian jump systems with time-delay, IEEE Trans. Autom. Control, 45, 77, 10.1109/9.827358 Wang, 2012, Stochastic stabilization of Markovian jump systems with partial unknown transition probabilities and actuator saturation, Circuits, Syst. Signal Process., 31, 371, 10.1007/s00034-011-9297-6 Chen, 2015, Decentralized finite-time H∞ filtering for interconnected Markovian jump system with interval mode-dependent delays, Appl. Math. Comput., 258, 138, 10.1016/j.amc.2015.01.065 Shi, 2015, A survey on Markovian jump systems: modeling and design, Int. J. Control, Autom. Syst., 13, 1, 10.1007/s12555-014-0576-4 Zhang, 2009, Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities, Automatica, 45, 463, 10.1016/j.automatica.2008.08.010 Li, 2007, Decentralized robust control of uncertain Markov jump parameter systems via output feedback, Automatica, 43, 1932, 10.1016/j.automatica.2007.03.016 Chang, 2017, Decentralized prescribed performance adaptive tracking control for Markovian jump uncertain nonlinear systems with input saturation, Int. J. Adapt. Control Signal Process., 31, 255, 10.1002/acs.2698 Li, 2017, Decentralized fault detection and isolation of Markovian jump interconnected systems with unknown interconnections, Int. J. Robust Nonlinear Control, 10.1002/rnc.3743 Ma, 2013, Robust decentralized stabilization of Markovian jump large-scale systems: a neighboring mode dependent control approach, Automatica, 49, 3105, 10.1016/j.automatica.2013.07.019 Geun, 2014, Decentralized fuzzy observer-based output-feedback control for nonlinear large-scale systems: an LMI approach, IEEE Trans. Fuzzy Syst., 22, 406, 10.1109/TFUZZ.2013.2259497 Lin, 2011, Stabilization of interconnected nonlinear stochastic Markovian jump systems via dissipativity approach, Automatica, 47, 2769, 10.1016/j.automatica.2011.09.008 Li, 2017, Stabilisation of Markov jump systems with input quantisation and general uncertain transition rates, IET Control Theory Appl., 11, 516, 10.1049/iet-cta.2016.1124 Costa, 1999, Continuous-time state-feedback H2-control of Markovian jump linear systems via convex analysis, Automatica, 35, 259, 10.1016/S0005-1098(98)00145-9 De Souza, 2006, Mode-independent H∞ filters for Markovian jump linear systems, IEEE Trans. Autom. Control, 51, 1837, 10.1109/TAC.2006.883060 Dong, 2008, Robust H2 control of continuous-time Markov jump linear systems, Automatica, 44, 1431, 10.1016/j.automatica.2007.09.015 Wei, 2015, Quantized H∞ filtering for continuous-time Markovian jump systems with deficient mode information, Asian J. Control, 17, 1914, 10.1002/asjc.1052 Wei, 2015, Model approximation for two-dimensional Markovian jump systems with state-delays and imperfect mode information, Multidimens. Syst. Signal Process., 26, 575, 10.1007/s11045-013-0276-x Wei, 2014, H∞ model reduction for continuous-time Markovian jump systems with incomplete statics of mode information, Int. J. Syst. Sci., 45, 1496, 10.1080/00207721.2013.837545 Ding, 2016, Stability analysis of continuous-time Markovian jump time-delay systems with time-varying transition rates, J. Frankl. Inst. B, 353, 2418, 10.1016/j.jfranklin.2016.04.014 Liu, 2017, New results on H∞ filtering for Markov jump systems with uncertain transition rates, ISA Trans., 69, 43, 10.1016/j.isatra.2017.04.015 Boukas, 1999, On stabilization of uncertain linear systems with jump parameters, Int. J. Control, 72, 842, 10.1080/002071799220768 Xiong, 2005, On robust stabilization of Markovian jump systems with uncertain switching probabilities, Automatica, 41, 897, 10.1016/j.automatica.2004.12.001 Karan, 2006, Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems, Automatica, 42, 2159, 10.1016/j.automatica.2006.07.002 Xiong, 2009, Robust H2 control of Markovian jump systems with uncertain switching probabilities, Int. J. Syst. Sci., 40, 255, 10.1080/00207720802300347 Yao, 2011, Robust H∞ filtering of Markovian jump stochastic systems with uncertain transition probabilities, Int. J. Syst. Sci., 42, 1219, 10.1080/00207720903513350 Guo, 2014, A convex method of robust controller design for Markovian jump systems with uncertain transition rates, Asian J. Control, 16, 928, 10.1002/asjc.756 Guo, 2015, Improved synthesis method for Markov jump systems with uncertain transition rates, J. Frankl. Inst. B, 352, 6011, 10.1016/j.jfranklin.2015.09.016 Guo, 2013, Stability of Markovian jump systems with generally uncertain transition rates, J. Frankl. Inst. B, 350, 2826, 10.1016/j.jfranklin.2013.06.013 Kao, 2014, Stabilisation of singular Markovian jump systems with generally uncertain transition rates, IEEE Trans. Autom. Control, 59, 2604, 10.1109/TAC.2014.2313756 Shen, 2015, Extended H∞ filtering of Markov jump nonlinear systems with general uncertain transition probabilities, J. Frankl. Inst. B, 352, 5269, 10.1016/j.jfranklin.2015.09.002 Luan, 2015, Finite-time stabilization of switching Markov jump systems with uncertain transition rates, Circuits, Syst. Signal Process., 34, 3741, 10.1007/s00034-015-0034-4 Chen, 2016, Output feedback control for singular Markovian jump systems with uncertain transition rates, IET Control Theory Appl., 10, 2142, 10.1049/iet-cta.2016.0548 Leibfritz, 2001, An LMI-based algorithm for designing suboptimal static H2/H∞ output feedback controllers, SIAM J. Control Optim., 39, 1711, 10.1137/S0363012999349553 Wu, 2007, Output feedback stabilization of linear systems with actuator saturation, IEEE Trans. Autom. Control, 52, 122, 10.1109/TAC.2006.886498 Yang, 2015, Decentralized adaptive neural output feedback control of a class of large-scale time-delay systems with input saturation, J. Frankl. Inst., 352, 2129, 10.1016/j.jfranklin.2015.02.009 Rehan, 2016, Delay-range-dependent control of nonlinear time-delay systems under input saturation, Int. J. Robust Nonlinear Control, 26, 1647, 10.1002/rnc.3372 Qi, 2017, Stabilization for positive Markovian jump systems with actuator saturation, Circuits, Syst. Signal Process., 36, 374, 10.1007/s00034-016-0307-6 Wang, 2016, Decentralized output-feedback adaptive control for a class of interconnected nonlinear systems with unknown actuator failures, Automatica, 71, 187, 10.1016/j.automatica.2016.04.027 Mahmoud, 2009, Decentralized reliable control of interconnected system with time-varying delays, J. Optim. Theory Appl., 143, 497, 10.1007/s10957-009-9571-y Gu, 2011, Stochastic faulty actuator-based reliable control for a class of interval time-varying delay systems with Markovian jumping parameters, Opt. Control Appl. Methods, 32, 313, 10.1002/oca.941 Wei, 2017, Reliable output feedback control of discrete-time fuzzy affine systems with actuator faults, IEEE Trans. Circuits Syst.–I: Regul. Pap., 64, 170, 10.1109/TCSI.2016.2605685 Wei, 2017, Reliable output feedback control for nonlinear Itô stochastic systems, IEEE Trans. Fuzzy Syst., 25, 569, 10.1109/TFUZZ.2016.2566810 Fan, 2012, Robust fault-tolerant control against time-varying actuator faults and saturation, IET Control Theory Appl., 6, 2198, 10.1049/iet-cta.2011.0713 Jin, 2017, Finite-time robust fault-tolerant control against actuator faults and saturations, IET Control Theory Appl., 11, 550, 10.1049/iet-cta.2016.1144 Gu, 2012, Reliable control for interval time-varying delay systems subjected to actuator saturation and stochastic failure, Opt. Control Appl. Methods, 33, 739, 10.1002/oca.1023 Zhang, 2009, H∞ estimation for discrete-time piecewise homogeneous Markov jump linear systems, Automatica, 45, 2570, 10.1016/j.automatica.2009.07.004 Wu, 2012, Stochastic stability analysis of piecewise homogeneous Markovian jump neural networks with mixed time-delays, J. Frankl. Inst. B, 349, 2136, 10.1016/j.jfranklin.2012.03.005 Wu, 2014, Asynchronous l2−l∞ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities, Automatica, 50, 180, 10.1016/j.automatica.2013.09.041 Fu, 2016, Parametric method for spacecraft trajectory tracking control problem with stochastic thruster fault, IET Control Theory Appl., 10, 2331, 10.1049/iet-cta.2016.0353 Hu, 2002, An analysis and design method for linear systems subject to actuator saturation and disturbance, Automatica, 38, 351, 10.1016/S0005-1098(01)00209-6 Liu, 2006, Controller design for Markov jumping systems subject to actuator saturation, Automatica, 42, 459, 10.1016/j.automatica.2005.10.017 Cao, 2000, Robust H∞ control of uncertain Markovian jump systems with time delays, IEEE Trans. Autom. Control, 45, 77, 10.1109/9.827358 Boyd, 1994