Observer Design for Stochastic Markov Switching Systems with Actuator Saturation

doi:10.12068/j.issn.1005-3026.2016.01.001

Journal of Northeastern University Natural Science ›› 2016, Vol. 37 ›› Issue (1): 1-5.DOI: 10.12068/j.issn.1005-3026.2016.01.001

• Information & Control • Next Articles

Observer Design for Stochastic Markov Switching Systems with Actuator Saturation

GAO Xian-wen¹， DU Jin-ming^1,2， QI Wen-hai¹

1.School of Information Science & Engineering， Northeastern University， Shenyang 110819， China; 2. Unit of 93116， PLA， Shenyang 110141， China.

Received:2014-11-24 Revised:2014-11-24 Online:2016-01-15 Published:2016-01-08
Contact: DU Jin-ming
About author:-
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Abstract

Abstract: The direct approach was used to study the stochastic Markov switching system with partly unknown transition probabilities and actuator saturation considering the problem of stochastic stability analysis. Through using free connection weight matrix， the conservation of the system would be decreased. Firstly， for stochastic Markov switching systems， by considering the properties of the relationship between the transition probabilities， the observer was designed to guarantee the stochastic stability of the closed-loop saturated system based on the parameter-dependent Lyapunov function. And then， the largest contraction invariant set in the mean square sense was proposed in the framework of linear matrix inequalities (LMIs). Finally， a numerical example was given to demonstrate the effectiveness of the method.

Key words: Markov switching systems, partly unknown transition probabilities, actuator saturation, stochastic stability;observer

CLC Number:

TP13

GAO Xian-wen， DU Jin-ming， QI Wen-hai. Observer Design for Stochastic Markov Switching Systems with Actuator Saturation[J]. Journal of Northeastern University Natural Science, 2016, 37(1): 1-5.

References

[1]Chen W H，Xu J X，Guan Z H.Guaranteed cost control for uncertain Markovian jump systems with mode-dependent time-delays［J］.IEEE Transactions on Automatic Control，2003，48(12):2270-2277.
[2]Ding Y C，Zhu H，Zhong S M，et al.H_∞ filtering for stochastic systems with Markovian switching and partly unknown transition probabilities［J］.Circuits，Systems，and Signal Processing，2013，32(2):559-583.
[3]Liu Y Q，Liu F.Disturbance rejection for Markov jump systems with partly unknown transition probabilities and saturation［J］.Circuits，Systems，and Signal Processing，2013，32(6):2783-2797.
[4]Zhao J J，Wang J，Shen H.Dynamic anti-windup control design for Markovian jump delayed systems with input saturation［J］.Circuits，Systems，and Signal Processing，2013，32(5):2213-2229.
[5]Hu T， Lin Z， Chen B M.An analysis and design method for linear systems subject to actuator saturation and disturbance［J］.Automatica，2002，38(2):351-359.
[6]Zuo Z Q，Wang Y J.On enlarging the domain of attraction for linear systems subject to actuator saturation［J］.International Journal of General Systems，2008，37(2):239-248.
[7]Zuo Z Q，Ho D W C，Wang Y J.Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation［J］.Automatica，2010，46(3):569-576.
[8]Li Y，Lin Z.Design of saturation-based switching anti-windup gains for the enlargement of the domain of attraction［J］.IEEE Transactions on Automatic Control，2013，58(7):1810-1816.
[9]Ai Z D，Zong G D.Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear［J］.Systems，Applied Mathematics and Computation，2014，245(10):462-473.
[10]Shen M Q，Ye D.Improved fuzzy control design for nonlinear Markovian-jump systems with incomplete transition descriptions［J］.Fuzzy Sets and Systems， 2013，217(4):80-95.
[11]Wu Z G，Shi P，Su H Y，et al.Stochastic synchronization of Markovian jump neural networks with time-varying delay using sampled-data［J］.IEEE Transactions on Cybernetics， 2013，43(6):1796-1806.

Observer Design for Stochastic Markov Switching Systems with Actuator Saturation

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