Abstract
The objective of this paper is to propose an approach to decentralized robust stabilization with state-dependent supervisor for a class of nonlinear switched symmetric composite systems. The proposed methodology employs the structural properties of the system to construct a low order control design model as well as the multiple Lyapunov functions technique. Static output feedback gain matrices robustly stabilizing this model are designed by using bilinear matrix inequalities (BMIs). These inequalities can be used as linear matrix inequalities (LMIs) when selecting appropriate parameters in advance. The switching process is decentralized into independent switching rules operating only on local subsystems states. It is shown that if the set of gain matrices of this switching controller is implemented as an identical set into each local switching controller of the global decentralized controller, then the overall closed-loop system is globally asymptotically stable with robust stability degree α. © 2008 IFAC
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