Title :
Stabilisation for one-sided Lipschitz non-linear differential inclusions
Author :
Xiushan Cai ; Yuhang Lin ; Shuyue Hong
Author_Institution :
Coll. of Math., Phys. & Inf. Eng., Zhejiang Normal Univ., Jinhua, China
Abstract :
Stabilisation design methods for one-sided Lipschitz non-linear differential inclusions are considered in this study. Sufficient conditions of exponential stabilisation for the closed-loop system are given by solving linear matrix inequalities. Two kinds of continuous control laws are designed such that the closed-loop systems are exponentially stable at the origin, respectively. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique.
Keywords :
asymptotic stability; closed loop systems; control system synthesis; linear matrix inequalities; nonlinear control systems; closed-loop system; continuous control laws; exponential stabilisation; linear matrix inequalities; one-sided Lipschitz nonlinear differential inclusions; stabilisation design methods;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2013.0136