H ∞ output-feedback control for neutral type descriptor Markov jump systems in mechanical applications

Abstract

This paper investigates the $H_{\infty }$ dynamic output feedback control problem for neutral descriptor Markov jump systems (NMJSs) with time delays and parameter uncertainties. By constructing a Lyapunov-Krasovskii functional and employing integral inequality techniques, delay-dependent criteria are established to ensure the closed-loop system’s regularity, impulse-free property, and robust stochastic stability. Furthermore, a dynamic output feedback controller is designed through the linear matrix inequality (LMI) approach to ensure that the system satisfies the prescribed $H_{\infty }$ performance index under external disturbances. Compared with existing delay-independent conditions, the proposed method achieves reduced conservatism by incorporating delay information. Finally, simulation results on a DC motor drive system verify the proposed control strategy’s validity.