Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

作     者：Shuping He Jun Song 

作者机构：School of Electrical Engineering and AutomationAnhui UniversityHefei 230601China 

出 版 物：《IEEE/CAA Journal of Automatica Sinica》 (自动化学报（英文版）)

年 卷 期：2017年第4卷第4期

页      面：809-816页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported in part by the National Natural Science Foundation of China(61673001,61203051) the Foundation for Distinguished Young Scholars of Anhui Province(1608085J05) the Key Support Program of University Outstanding Youth Talent of Anhui Province(gxydZD201701) 

主　　题：Conic nonlinear system finite-time boundedness(FTB) sliding mode control(SMC) state-feedback 

摘      要：This paper studies the sliding mode controller design problems for a class of nonlinear system. The nonlinear function is considered to satisfy conic-type constraint condition. A novel finite-time boundedness(FTB) based sliding mode controller design theory is proposed. And then a sufficient condition is obtained in terms of linear matrix inequalities(LMIs), which guarantees the resulted sliding mode dynamics to be FTB wrt some predefined scalars. Thereafter, a FTB-based sliding mode control(SMC) law is synthesized to ensure the state of the controlled system is driven into a novel desired switching surface s(t) = c(c is a constant) in a finite time. Simulation results illustrate the validity of the proposed FTB-based SMC design theory.