title: Passivity-based sliding mode control for a polytopic stochastic differential inclusion system.
abstract: Passivity-based sliding mode control for a polytopic stochastic differential inclusion (PSDI) system is considered. A control law is designed such that the reachability of sliding motion is guaranteed. Moreover, sufficient conditions for mean square asymptotic stability and passivity of sliding mode dynamics are obtained by linear matrix inequalities (LMIs). Finally, two examples are given to illustrate the effectiveness of the proposed method.
authors: College of Electric and Information Engineering, Henan University of Science and Technology, Luoyang 471003, China. Electronic address: liuleipo123@163.com.
authors: Leipo
authors: L
authors: Liu
authors: Zhumu
authors: Z
authors: Fu
authors: Xiaona
authors: X
authors: Song
keywords: Asymptotic stability; Linear matrix inequalities; Passivity; Polytopic stochastic differential inclusions; Sliding mode control