Robust dynamic output feedback stabilization for uncertain singular Markovian jump systems with time‐varying delays

Abstract

AbstractThe article investigates robust dynamic output feedback (DOF) stabilization for uncertain time‐varying delays singular Markovian jump systems (SMJSs). First, by using improved Lyapunov–Krasovskii functional, sufficient conditions of robust admissibility (namely regularity, non‐impulsiveness, and asymptotic stability) for unforced nominal time‐varying delays SMJSs are given. Second, by constructing a DOF controller such that the resulting closed‐loop system satisfies robust admissibility, the robust DOF stabilization problem is solved in terms of linear matrix inequalities via orthogonal complement technique. Finally, the availability and practicality of the prime results are certified by two numerical examples and a practical example of the oil catalytic cracking process.