Probability-Dependent Static Output Feedback Control for Discrete-Time Nonlinear Stochastic Systems with Missing Measurements

This paper is devoted to the problems of gain-scheduled control for a class of discrete-time stochastic systems with infinite-distributed delays and missing measurements by utilizing probability-dependent Lyapunov functional. The missing-measurement phenomenon is assumed to occur in a random way, and the missing probability is time varying with securable upper and lower bounds that can be measured in real time. The purpose is to design a static output feedback controller with scheduled gains such that, for the admissible random missing measurements, time delays, and noises, the closed-loop system is exponentially mean-square stable. At last, a simulation example is exploited to illustrate the effectiveness of the proposed design procedures.

[1]  Fuwen Yang,et al.  H∞ control for networked systems with random communication delays , 2006, IEEE Trans. Autom. Control..

[2]  Hal L. Smith,et al.  Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches , 1991 .

[3]  Emilia Fridman,et al.  Robust H∞ control of distributed delay systems with application to combustion control , 2001, IEEE Trans. Autom. Control..

[4]  Maozhen Li,et al.  Probability-Dependent Gain-Scheduled Filtering for Stochastic Systems With Missing Measurements , 2011, IEEE Transactions on Circuits and Systems II: Express Briefs.

[5]  Zhi-Hong Guan,et al.  Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach , 2005, Syst. Control. Lett..

[6]  Zidong Wang,et al.  Probability‐dependent gain‐scheduled control for discrete stochastic delayed systems with randomly occurring nonlinearities , 2013 .

[7]  Wilson J. Rugh,et al.  Research on gain scheduling , 2000, Autom..

[8]  Zongli Lin,et al.  Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation , 2002, Syst. Control. Lett..

[9]  Zidong Wang,et al.  Synchronization and State Estimation for Discrete-Time Complex Networks With Distributed Delays , 2008, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[10]  H. Su,et al.  Reliable $H_\infty$ Control for Discrete-Time Fuzzy Systems With Infinite-Distributed Delay , 2009 .

[11]  Pierre Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1998, IEEE Trans. Control. Syst. Technol..

[12]  R. Benton,et al.  Static output feedback stabilization with prescribed degree of stability , 1998, IEEE Trans. Autom. Control..

[13]  Indra Narayan Kar.  Design of static output feedback controller for uncertain systems , 1999, Autom..

[14]  Huijun Gao,et al.  ${\cal H}_{\infty}$ Estimation for Uncertain Systems With Limited Communication Capacity , 2007, IEEE Transactions on Automatic Control.

[15]  Zidong Wang,et al.  Robust H∞ control for a class of nonlinear stochastic systems with mixed time delay , 2007 .

[16]  Ian Postlethwaite,et al.  Static output feedback stabilisation with H∞ performance for a class of plants , 2001, Syst. Control. Lett..

[17]  Zidong Wang,et al.  Filtering for Networked Stochastic Time-Delay Systems With Sector Nonlinearity , 2009, IEEE Transactions on Circuits and Systems II: Express Briefs.

[18]  Yurong Liu,et al.  A note on control of a class of discrete-time stochastic systems with distributed delays and nonlinear disturbances , 2010, Autom..

[19]  Gang Feng,et al.  Reliable H∞ control for discrete-time piecewise linear systems with infinite distributed delays , 2009, at - Automatisierungstechnik.

[20]  James Lam,et al.  Static Output Feedback Stabilization: An ILMI Approach , 1998, Autom..

[21]  Chaouki T. Abdallah,et al.  Static output feedback: a survey , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[22]  Zidong Wang,et al.  Robust filtering with stochastic nonlinearities and multiple missing measurements , 2009, Autom..

[23]  Robert E. Skelton,et al.  Static output feedback controllers: stability and convexity , 1998, IEEE Trans. Autom. Control..

[24]  Fuwen Yang,et al.  Robust H/sub /spl infin// filtering for stochastic time-delay systems with missing measurements , 2006, IEEE Transactions on Signal Processing.

[25]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .