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Non-fragile controllers for a class of time-delay nonlinear systems. (English) Zbl 1158.93302

Summary: The paper deals with the synthesis of a non-fragile state controller with reduced design complexity for a class of continuous-time nonlinear delayed symmetric composite systems. Additive controller gain perturbations are considered. Both subsystems and interconnections include time-delays. A low-order control design system is first constructed. Then, stabilizing controllers with norm bounded gain uncertainties are designed for the control design system using linear matrix inequalities (LMIs) for both delay-independent and delay-dependent stability approaches. The main result shows that when such a non-fragile low-order controllers are implemented into each local controller of the decentralized controller for the global system, the global closed-loop systems are globally asymptotically stable.

MSC:

93A14 Decentralized systems
93A15 Large-scale systems
93B51 Design techniques (robust design, computer-aided design, etc.)
93C10 Nonlinear systems in control theory
93D15 Stabilization of systems by feedback
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References:

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