Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer

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• 作者：Xiuming Yao ; Lei Guo
• 关键词：Disturbance observer ; Composite control ; Markovian jump nonlinear systems ; Multiple disturbances
• 刊名：Automatica
• 出版年：2013
• 出版时间：August, 2013
• 年：2013
• 卷：49
• 期：8
• 页码：2538-2545
• 全文大小：617 K

文摘

This paper is concerned with the problems of composite disturbance-observer-based control (DOBC) and control for Markovian jump systems with nonlinearity and multiple disturbances. Our aim is to design a disturbance observer to estimate the disturbance generated by an exogenous system, then construct the control scheme by integrating the output of the disturbance observer with state-feedback control law, such that, the closed-loop system can be guaranteed to be stochastically stable, and different types of disturbances can be attenuated and rejected. By constructing a proper stochastic Lyapunov-Krasovskii functional, sufficient conditions for the existence of the desired observer and the state-feedback controller are established in terms of linear matrix inequalities (LMIs), which can be readily solved by standard numerical software. Finally, a numerical example is provided to show the effectiveness of the proposed approaches.