Decentralized global robust stabilization of a class of interconnected minimum-phase nonlinear systems |
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Authors: | Shoulie Xie Lihua Xie |
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Affiliation: | School of Electrical & Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore |
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Abstract: | This paper focuses on a class of large-scale interconnected minimum-phase nonlinear systems with parameter uncertainty and nonlinear interconnections. The uncertain parameters are allowed to be time-varying and enter the systems nonlinearly. The interconnections are bounded by nonlinear functions of states. The problem we address is to design a decentralized robust controller such that the closed-loop large-scale interconnected nonlinear system is globally asymptotically stable for all admissible uncertain parameters and interconnections. It is shown that decentralized global robust stabilization of the system can be achieved using a control law obtained by a recursive design method together with an appropriate Lyapunov function. |
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Keywords: | Interconnected systems Nonlinear systems Decentralized control Robust control Lyapunov approach |
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