Observer-Based Robust Passive Control for a Class of Uncertain Neutral Systems: An Integral Sliding Mode Approach

The problem of integral sliding mode control (ISMC) with passivity is investigated for a class of uncertain neutral systems with time-varying delay (NTSTD) and external disturbance. The system states are unavailable. An ISMC strategy is proposed based on the state estimate. By employing a novel sliding functional, a new sufficient criterion of robust asymptotic stability and passivity for both the error system and the sliding mode (SM) dynamic system is derived via linear matrix inequality (LMI) technique. Then, a SM controller is synthesized to guarantee the reachability of the sliding surface predefined in the state estimate space. Finally, a numerical example shows the feasibility and superiority of the obtained result

Observer-based finite-time H∞ control for discrete singular stochastic systems

In this work, the observer-based finite-time H∞ control problem is studied for a class of discrete-time Markovian jump singular systems with time-varying norm-bounded disturbance. The main purpose of this paper is to design an observer and a state feedback controller ensuring that the resulting closed-loop error system is singular finite-time bounded via observer-based state feedback and satisfies a prescribed H∞ performance level in a finite-time interval. By using the descriptor system approach presented by Fridman and Shaked, sufficient criteria on singular H∞ finite-time stabilization via observer-based state feedback are derived in terms of linear matrix inequalities. A simulation example is also given to demonstrate the validity of the developed results. © 2014 Elsevier Ltd. All rights reserved.Yingqi Zhang, Peng Shi, Sing Kiong Nguan