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Stability analysis for continuous-time systems with actuator saturation
Received:November 18,2008  Revised:April 4,2009
Keywords:Actuator saturation  Stability analysis  Domain of attraction  Invariant set  Linear matrix inequality (LMI)
Fund Project:
Ting SHI, Hongye SU, Jian CHU State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou Zhejiang 310027, China 
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      The aim of this paper is to study the determination of the stability regions for continuous-time systems subject to actuator saturation. Using an affine saturation-dependent Lyapunov function, a new method is proposed to obtain the estimation of the domain of attraction of the closed-loop system. A family of linear matrix inequalities (LMIs) that provides sufficient conditions for the existence of this type of Lyapunov function are presented. The results obtained in this paper can reduce the conservativeness compared with the existing ones. Numerical examples are given to illustrate the effectiveness of the proposed results.
Ting SHI, Hongye SU, Jian CHU.Stability analysis for continuous-time systems with actuator saturation[J].Journal of Control Theory and Applications,2009,7(4):352~358.
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