Title :
Stability analysis and control of Lur´e singularly perturbed uncertain systems
Author :
Yan Zhang ; Naidu, D. Subbaram ; Chenxiao Cai
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
In this paper, the absolute stability and feedback control problems of Lur´e singularly perturbed uncertain systems are investigated. An ε-dependent Lyapunov function is constructed. Using the Lyapunov theory and Linear Matrix Inequalities (LMIs) technique, the conditions of absolute stability of the system without disturbances are derived. Then, a method of designing feedback controller is developed which can guarantee the absolute stability of the Lur´e singularly perturbed uncertain systems. A numerical example is given to show the effectiveness of the criteria.
Keywords :
Lyapunov methods; control system synthesis; feedback; linear matrix inequalities; singularly perturbed systems; stability; uncertain systems; ε-dependent Lyapunov function; LMI technique; Lur´e singularly perturbed uncertain control systems; Lyapunov theory; absolute stability condition; feedback control problems; feedback controller design; linear matrix inequalities; stability analysis; Asymptotic stability; Circuit stability; Linear matrix inequalities; Numerical stability; Robustness; Stability criteria; Absolutely stability; Feedback; Linear matrix ineuqality; Lur´e system; Lyapunov theory; Singular perturbations; control;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895985
