Feedback passification of switched stochastic time-delay systems with multiple disturbances via DOBC

This paper is concerned with the problem of feedback passification for switched stochastic time-delay systems with multiple disturbances subject to mode-dependent average dwell-time switching. The multiple disturbances are composed of two parts: one is given through an exogenous system and the other is described in the form of norm-bounded vector. A disturbance observer is constructed to estimate an exogenous disturbance. Then, a state feedback controller that includes the estimation value is designed to guarantee the passivity of the closed-loop system. The observer and controller gains are developed via linear matrix inequalities. The effectiveness of the proposed method is verified through a numerical example and an application example to PWM-driven boost converter.