An anti-windup design to robust H-infinity control for singular Markovian jump systems with actuator saturation and general unknown transition rates

作者：Kao, Yonggui; Xie, Jing; Wang, Changhong^*

来源：Journal of the Franklin Institute, 2015, 352(12): 5708-5734.

DOI：10.1016/j.jfranklin.2015.07.013

• TIME-VARYING DELAY
• LINEAR-SYSTEMS
• INPUT SATURATION
• STABILITY
• STABILIZATION

This paper is concerned with the problem of robust H-infinity control for a class of singular Markovian jump systems (SMJSs) with generally uncertain transition rates (GUTRs) and actuator saturation via anti-windup design. In this GUTR model, each transition rate can be completely unknown or only its estimate value is known. Under the assumption that a set of linear dynamic output feedback controllers have been designed to stabilize the SMJSs in the absence of actuator saturation, anti-windup compensators are designed to impair the actuator saturation effect on the closed-loop systems subject to admissible external disturbances, Ito-type stochastic disturbances, transition rate and norm-bounded parameter uncertainties. Anti-windup compensation gains can be derived via solving a convex optimization problem with constraints of a set of linear matrix inequalities (LMIs). Finally, a numerical example is presented to illustrate the effectiveness and applicability of the proposed method.

• 出版日期2015-12
• 单位哈尔滨工业大学; 青岛理工大学