Real-time reachable set control for singular Markov jump systems with mixed delay and uncertain parameters

Abstract

In this paper, the design problem of real-time reachable set controller for singular Markov jump systems with mixed delay and parameter uncertainties is studied. Firstly, by designing a P-D controller, the system is transformed into a nonsingular mixed time-delay Markov jump system with uncertain parameters. Secondly, the sufficient conditions for the system state constraints on a bounded set are obtained through the utilization of Lyapunov functional and a free weight matrix, and the controller parameters are then determined. Finally, an example of DC motor drive system and a numerical example are given to verify the validity of the results.