Observer-based quantized sliding mode dissipative control for singular semi-Markovian jump systems

摘要

This paper investigates the dissipative sliding mode control of singular semi-Markovian jump system (S-MJS) with nonlinear term and time-varying delay via an adjustable quantized approach. Different from the existing methods, we propose a novel common integral sliding surface to weaken the effect of mode jumping. Then, the sliding mode controller with the quantized output measurement has been developed, by more extensive practical application points of view. Based on linear matrix inequality technique, sufficient conditions are derived to ensure the stochastically admissible and strictly dissipative of the closed-loop system, at the same time to guarantee the sliding mode reachability. Finally, three numerical examples are given to demonstrate the practical applicability, less conservation and the feasibility of the method.