Fault tolerant control for systems with interval time-varying delay and actuator saturation

Abstract This paper studies the problem of fault tolerant control design for time-delayed systems subject to actuator saturation. Delay- and fault-range-dependent estimate for the domain of attraction of the origin is presented using the linear matrix inequalities (LMIs) techniques. An illustrative example is exploited to show the effectiveness of the proposed design procedures.

[1]  Dong Yue,et al.  New method of fault-distribution-dependent memory-reliable controller design for discrete-time systems with stochastic input delays , 2011 .

[2]  Peng Shi,et al.  A New Approach to Observer-Based Fault-Tolerant Controller Design for Takagi-Sugeno Fuzzy Systems with State Delay , 2009, Circuits Syst. Signal Process..

[3]  Daniel W. C. Ho,et al.  Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation , 2010, Autom..

[4]  Yong He,et al.  Delay-dependent stabilization of linear systems with time-varying state and input delays , 2005, Autom..

[5]  James Lam,et al.  Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions , 2010, IEEE Transactions on Automatic Control.

[6]  James Lam,et al.  Analysis and Synthesis of Markov Jump Linear Systems With Time-Varying Delays and Partially Known Transition Probabilities , 2008, IEEE Transactions on Automatic Control.

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

[8]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[9]  Mathukumalli Vidyasagar,et al.  Reliable stabilization using a multi-controller configuration , 1983, The 22nd IEEE Conference on Decision and Control.

[10]  Ke Zhang,et al.  Adaptive Observer-based Fast Fault Estimation , 2008 .

[11]  PooGyeon Park,et al.  Stability and robust stability for systems with a time-varying delay , 2007, Autom..

[12]  Jean-Michel Dion,et al.  Stability and robust stability of time-delay systems: A guided tour , 1998 .

[13]  Min Wu,et al.  A NEW INTEGRAL INEQUALITY APPROACH TO DELAY‐DEPENDENT ROBUST H∞ CONTROL , 2006 .

[14]  C. Burgat,et al.  Regulator problem for linear discrete-time systems with non-symmetrical constrained control , 1988 .

[15]  Lihua Xie,et al.  Robust control of a class of uncertain nonlinear systems , 1992 .

[16]  Sophie Tarbouriech,et al.  Stability analysis and stabilization of systems presenting nested saturations , 2006, IEEE Transactions on Automatic Control.

[17]  Lingjie Chen,et al.  Stability and Stabilization of a Class of Multimode Linear Discrete-Time Systems With Polytopic Uncertainties , 2009, IEEE Transactions on Industrial Electronics.

[18]  Min Wu,et al.  Augmented Lyapunov functional and delay‐dependent stability criteria for neutral systems , 2005 .

[19]  Barbara Zitov a.  Journal of the Franklin Institute , 1942, Nature.

[20]  Dong Yue,et al.  Delayed feedback control of uncertain systems with time-varying input delay , 2005, Autom..

[21]  Yijing Wang,et al.  Stability Analysis and Controller Design for Linear Time Delay Systems with Actuator Saturation , 2007, 2007 American Control Conference.

[22]  Ahmad Haidar,et al.  Delay-range-dependent control synthesis for time-delay systems with actuator saturation , 2008, Autom..