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

Abstract

Summary 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.

Delay‐dependent stability analysis and stabilization of stochastic time‐delay systems governed by the Poisson process and Brownian motion

“…where B(t) is a Brownian motion, and h is a delay. Over past years, various kinds of STDSs governed by Brownian motion have got much research attention (see References [22][23][24][25][26][27][28][29][30]. Certainly, when studying STDSs, researchers also want to obtain delay-dependent stability or control criteria.…”