Observer-based sliding mode control for stabilization of a dynamic system with delayed output feedback

This paper considers the sliding mode control problem for a kind of dynamic delay system. First by utilizing Lyapunov stability theory and a linear matrix inequality technique, an observer based on delayed output feedback is constructed. Then, an integral sliding surface is presented to realize the sliding mode control for the system with the more available stability condition. Finally, some numerical simulations are implemented to demonstrate the validity of the proposed control method.Bo Wang, Peng Shi, Hamid Reza Karimi, and Cheng Chew Li

Fuzzy variable structure control for uncertain systems with disturbance

This paper focuses on the fuzzy variable structure control for uncertain systems with distrubance. Specifically, the fuzzy control is introduced to estimate the control disturbance, the switching control is included to compensate for the approximation error, and they possess the characteristic of simpleness in design and effectiveness in attenuating the control chattering. Some typical numerical examples are presented to demonstrate the effectiveness and advantage of the fuzzy variable structure controller proposed.Bo Wang, Peng Shi, Hamid Reza Karimi, Jun Wang and Yongduan Son

Sliding Mode Observer-Based Fault Estimation for Nonlinear Networked Control Systems

In this paper, a novel sliding mode observer-based fault estimation (FE) method is presented for a class of nonlinear networked control systems (NCSs) with Markov transfer delays. Firstly, the nonlinear NCS is described by a nonlinear discrete Takagi–Sugeno (T–S) fuzzy model using the Euler approximation method. Then, a sliding mode based nonlinear discrete observer is proposed such that the sliding motion of the error dynamical system is asymptotically stable on a designed surface. Then the FE can be achieved through this observer. Finally, an example is included to show the efficiency of the proposed method