Fault estimation and stabilization for Markovian jump systems with partial actuator degradation

This paper investigates the fault-tolerant control (FTC) problem of partial actuator degradation for a class of Markovian jump systems subject to unmeasurable states. In this study, a new adaptive fault observer is designed to solve the problem of fault estimation, which can estimate the states and level of failures simultaneously. Then, an observer-based controller is developed to stabilize the closed-loop system. Sufficient conditions for the existence of the observer gain and controller gain are obtained by solving a set of linear matrix inequalities. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.

[1]  Huijun Gao,et al.  Fault-tolerant control of Markovian jump stochastic systems via the augmented sliding mode observer approach , 2014, Autom..

[2]  Daniel W. C. Ho,et al.  Adaptive fault-tolerant compensation control for Markovian jump systems with mismatched external disturbance , 2015, Autom..

[3]  Hamid Reza Karimi,et al.  Adaptive sliding mode reliable control for switched systems with actuator degradation , 2015 .

[4]  Hamid Reza Karimi,et al.  A new design of H∞ filtering for continuous-time Markovian jump systems with time-varying delay and partially accessible mode information , 2013, Signal Process..

[5]  Lixian Zhang,et al.  Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities , 2009, Autom..

[6]  Peng Shi,et al.  Sensor fault estimation and tolerant control for Itô stochastic systems with a descriptor sliding mode approach , 2013, Autom..

[7]  Michael V. Basin,et al.  Central suboptimal mean-square H ∞ controller design for linear stochastic time-varying systems , 2011, Int. J. Syst. Sci..

[8]  Xingyu Wang,et al.  Sliding mode control for Itô stochastic systems with Markovian switching , 2007, Autom..

[9]  Halim Alwi,et al.  Design and Analysis of an Integral Sliding Mode Fault-Tolerant Control Scheme , 2012, IEEE Transactions on Automatic Control.

[10]  Y. Niu,et al.  Sliding mode control for stochastic Markovian jumping systems with incomplete transition rate , 2013 .

[11]  Huijun Gao,et al.  New results on stabilization of Markovian jump systems with time delay , 2009, Autom..

[12]  Hongye Su,et al.  Delay-dependent H∞ filtering for singular Markovian jump time-delay systems , 2010, Signal Process..

[13]  Yugang Niu,et al.  Robust Fuzzy Design for Nonlinear Uncertain Stochastic Systems via Sliding-Mode Control , 2007, IEEE Transactions on Fuzzy Systems.

[14]  Huijun Gao,et al.  State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems , 2010, IEEE Transactions on Automatic Control.

[15]  Leonid M. Fridman,et al.  Fault tolerant control allocation via continuous integral sliding-modes: A HOSM-Observer approach , 2015, Autom..