Finite-time dissipative control for singular T-S fuzzy Markovian jump systems under actuator saturation with partly unknown transition rates

In this paper, we consider the problem of the static output feedback control for singular T-S fuzzy Markovian jump system with considering the influence of actuator saturation and partly unknown transition probabilities. Sufficient conditions are obtained to guarantee that the closed-loop is not only finite time bounded but also dissipative. The controller gain and the estimation of the domain of attraction can be solved by solving the linear matrix inequalities based optimization problem. Finally, numerical examples are illustrated for the effectiveness of the proposed method.

[1]  Yonggui Kao,et al.  Stabilisation of mode-dependent singular Markovian jump systems with generally uncertain transition rates , 2014, Appl. Math. Comput..

[2]  Wenhai Qi,et al.  State feedback controller design for singular positive Markovian jump systems with partly known transition rates , 2015, Appl. Math. Lett..

[3]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[4]  Rathinasamy Sakthivel,et al.  Dissipative reliable controller design for uncertain systems and its application , 2015, Appl. Math. Comput..

[5]  Hamid Reza Karimi,et al.  Novel Stability Criteria for T--S Fuzzy Systems , 2014, IEEE Transactions on Fuzzy Systems.

[6]  Qingling Zhang,et al.  Delay-dependent dissipative control for a class of non-linear system via Takagi-Sugeno fuzzy descriptor model with time delay , 2014 .

[7]  Yuanqing Xia,et al.  Stability and stabilization of continuous-time singular hybrid systems , 2009, Autom..

[8]  Guoliang Wang,et al.  H∞ control of singular Markovian jump systems with operation modes disordering in controllers , 2014, Neurocomputing.

[9]  Ligang Wu,et al.  Reliable Filtering With Strict Dissipativity for T-S Fuzzy Time-Delay Systems , 2014, IEEE Transactions on Cybernetics.

[10]  Qingling Zhang,et al.  H∞ fuzzy control for nonlinear time-delay singular Markovian jump systems with partly unknown transition rates , 2014, Fuzzy Sets Syst..

[11]  Huai-Ning Wu,et al.  Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE-beam systems , 2014, Autom..

[12]  Abdel-Latif Elshafei,et al.  LMI static output-feedback design of fuzzy power system stabilizers , 2009, Expert Syst. Appl..

[13]  Feng Zhao,et al.  H∞ filtering for stochastic singular fuzzy systems with time-varying delay , 2014 .

[14]  Jianjun Bai,et al.  Finite-time stability analysis of discrete-time fuzzy Hopfield neural network , 2015, Neurocomputing.

[15]  Wuneng Zhou,et al.  Finite-time state estimation for delayed Hopfield neural networks with Markovian jump , 2015, Neurocomputing.

[16]  Yuechao Ma,et al.  Memory feedback $${H_\infty }$$H∞ control of uncertain singular T–S fuzzy time-delay system under actuator saturation , 2017 .

[17]  Huijun Gao,et al.  Fuzzy-Model-Based Control of an Overhead Crane With Input Delay and Actuator Saturation , 2012, IEEE Transactions on Fuzzy Systems.

[18]  Zhengzhi Han,et al.  Stochastic stability and stabilization of positive systems with Markovian jump parameters , 2014 .

[19]  Jun Song,et al.  Finite-time robust passive control for a class of uncertain Lipschitz nonlinear systems with time-delays , 2015, Neurocomputing.

[21]  Qingling Zhang,et al.  Robust finite-time dissipative control for fuzzy descriptor systems with uncertainties and disturbances , 2015, The 27th Chinese Control and Decision Conference (2015 CCDC).

[22]  U. Filobello-Niño,et al.  Laplace transform-homotopy perturbation method as a powerful tool to solve nonlinear problems with boundary conditions defined on finite intervals , 2015 .

[23]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[24]  Jianhua Ma,et al.  Finite-time H∞ filtering for a class of discrete-time Markovian jump systems with switching transition probabilities subject to average dwell time switching , 2013, Appl. Math. Comput..

[25]  Hamid Reza Karimi,et al.  On stability and stabilization of singular uncertain Takagi-Sugeno fuzzy systems , 2014, J. Frankl. Inst..

[26]  Yuanqing Xia,et al.  H∞ descriptor fault detection filter design for T-S fuzzy discrete-time systems , 2014, J. Frankl. Inst..

[27]  Hamid Reza Karimi,et al.  Filtering design for two-dimensional Markovian jump systems with state-delays and deficient mode information , 2014, Inf. Sci..

[28]  Li Sheng,et al.  Stabilization for Markovian jump nonlinear systems with partly unknown transition probabilities via fuzzy control , 2010, Fuzzy Sets Syst..

[29]  Shengyuan Xu,et al.  Robust Control and Filtering of Singular Systems , 2006 .

[30]  Qingling Zhang,et al.  H∞ filtering for time-delayed singular Markovian jump systems with time-varying switching: A quantized method , 2015, Signal Process..

[31]  R. Lu,et al.  Delay-dependent H∞ control for singular Markovian jump systems with time delay , 2013 .

[32]  Qingling Zhang,et al.  $$H_\infty $$H∞ filtering for stochastic singular fuzzy systems with time-varying delay , 2015 .

[33]  Yong-Nong Chang,et al.  Robust anti-windup controller design of time-delay fuzzy systems with actuator saturations , 2011, Inf. Sci..

[34]  Hao Liu,et al.  Multiple-Mode Observer Design for a Class of Switched Linear Systems , 2015, IEEE Transactions on Automation Science and Engineering.

[35]  Guang-Hong Yang,et al.  Nonfragile $H_{\infty}$ Filtering of Continuous-Time Fuzzy Systems , 2011, IEEE Transactions on Signal Processing.

[36]  Pingfang Zhou,et al.  Robust guaranteed cost control for singular Markovian jump systems with time-varying delay. , 2012, ISA transactions.

[37]  Xiao-Heng Chang,et al.  Robust Nonfragile $H_\infty$ Filtering of Fuzzy Systems With Linear Fractional Parametric Uncertainties , 2012, IEEE Transactions on Fuzzy Systems.

[38]  Pagavathigounder Balasubramaniam,et al.  An LMI approach for global robust dissipativity analysis of T-S fuzzy neural networks with interval time-varying delays , 2012, Expert Syst. Appl..

[39]  Yonggui Kao,et al.  A sliding mode approach to robust stabilisation of Markovian jump linear time-delay systems with generally incomplete transition rates , 2015 .

[40]  Caixia Liu,et al.  Robust finite-time stabilization of uncertain singular Markovian jump systems , 2012 .

[41]  Qingling Zhang,et al.  Stochastic stability and stabilization of discrete‐time singular Markovian jump systems with partially unknown transition probabilities , 2015 .

[42]  Shouming Zhong,et al.  Stochastic admissibility for a class of singular Markovian jump systems with mode-dependent time delays , 2012, Appl. Math. Comput..

[43]  Hong Zhu,et al.  Finite-time H ∞ filtering for a class of discrete-time Markovian jump systems with partly unknown transition probabilities , 2014 .

[44]  Wen-Jer Chang,et al.  Fuzzy control of multiplicative noised nonlinear systems subject to actuator saturation and H∞ performance constraints , 2015, Neurocomputing.

[45]  Zijian Liu,et al.  H∞ filtering for a class of singular Markovian jump systems with time-varying delay , 2012, Signal Process..