Geodesic
Non-fragile controllers for a class of time-delay nonlinear systems
Kybernetika, Tome 45 (2009) no. 1, pp. 15-32.

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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.
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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     title = {Non-fragile controllers for a class of time-delay nonlinear systems},
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     pages = {15--32},
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     volume = {45},
     number = {1},
     year = {2009},
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     zbl = {1158.93302},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a2/}
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Bakule, Lubomír; Sen, Manuel de la. Non-fragile controllers for a class of time-delay nonlinear systems. Kybernetika, Tome 45 (2009) no. 1, pp. 15-32. http://geodesic.mathdoc.fr/item/KYB_2009__45_1_a2/