Decentralized measurement feedback stabilization of large-scale systems via control vector Lyapunov functions |
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Authors: | Dabo Xu Valery Ugrinovskii |
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Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;2. School of Engineering and Information Technology, UNSW Canberra at the Australian Defence Force Academy, Po Box 7916, Canberra BC 2610, Australia |
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Abstract: | This paper studies the problem of decentralized measurement feedback stabilization of nonlinear interconnected systems. As a natural extension of the recent development on control vector Lyapunov functions, the notion of output control vector Lyapunov function (OCVLF) is introduced for investigating decentralized measurement feedback stabilization problems. Sufficient conditions on (local) stabilizability are discussed which are based on the proposed notion of OCVLF. It is shown that a decentralized controller for a nonlinear interconnected system can be constructed using these conditions under an additional vector dissipation-like condition. To illustrate the proposed method, two examples are given. |
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Keywords: | Decentralized control Control Lyapunov function Vector dissipativity |
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