Robust H∞$$ {H}_{\infty } $$ continuous‐discrete hybrid impulsive dynamic output feedback control for delays descriptor Markovian jump systems with multidimensional impulsive operator

Abstract

AbstractThis study focuses on the robust continuous‐discrete hybrid impulsive dynamic output feedback (DOF) control issue for time delays descriptor Markovian jump systems (TDDMJSs) with multidimensional impulsive operator. By applying an improved impulse‐time‐dependent Lyapunov–Krasovskii (L‐K) functional, the novel stochastic admissibilization conditions are formulated as linear matrix inequalities. A desired hybrid impulsive DOF controller is achieved, which includes a continuous DOF controller and a discrete impulsive DOF controller. The stochastic admissibilization of the closed‐loop TDDMJSs can be satisfied by virtue of the desired hybrid impulsive DOF controller. In the end, the validity of the proposed hybrid impulsive DOF controller design method is demonstrated by two examples, including an oil catalytic cracking process.