Non-fragile controllers for a class of time-delay nonlinear systems

Bakule, Lubomír ; Sen, Manuel de la

Kybernetika, Tome 45 (2009) no. 1, pp. 15-32

Abstract (VO)

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.

Détail

Classification : 93A14, 93A15, 93B51, 93C10, 93D15
Keywords: decentralized control; large scale complex systems; nonlinear systems; continuous-time systems; delay; reduced-order systems

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