Robust passive control for a class of uncertain neutral systems based on sliding mode observer.
The passivity-based sliding mode control (SMC) problem for a class of uncertain neutral systems with unmeasured states is investigated. Firstly, a particular non-fragile state observer is designed to generate the estimations of the system states, based upon which a novel integral-type sliding surface function is established for the control process. Secondly, a new sufficient condition for robust asymptotic stability and passivity of the resultant sliding mode dynamics (SMDs) is obtained in terms of linear matrix inequalities (LMIs). Thirdly, the finite-time reachability of the predesigned sliding surface is ensured by resorting to a novel adaptive SMC law. Finally, the validity and superiority of the scheme are justified via several examples.
School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China; Institute for Sustainable Manufacturing, University of Kentucky, Lexington 40506, USA. Electronic address: zhen.liu@uky.edu.
Zhen
Z
Liu
School of Automation and Electrical Engineering, Qingdao University, Qingdao 266071, China. Electronic address: zhaolin1585@163.com.
Lin
L
Zhao
Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China. Electronic address: ygkao2008@gmail.com.
Yonggui
Y
Kao
School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China. Electronic address: ccgao@ouc.edu.cn.
Cunchen
C
Gao
Estimate; Neutral systems; Passivity; Sliding mode observer; Stability