Nonsmooth control of time-delay nonlinear systems by dynamic state feedback | IEEE Conference Publication | IEEE Xplore

Nonsmooth control of time-delay nonlinear systems by dynamic state feedback


Abstract:

We study the problem of global state feedback control for a class of time-delay uncertain systems. Under mild regularity conditions on the system nonlinearities involving...Show More

Abstract:

We study the problem of global state feedback control for a class of time-delay uncertain systems. Under mild regularity conditions on the system nonlinearities involving time delay, a delay-independent, non-smooth dynamic state compensator is constructed by developing a dynamic gain based design method. Using appropriate Lyapunov-Krasovskii functionals, we prove that all the states of the time-delay nonlinear system can be regulated to the origin while maintaining boundedness of the closed-loop system. As a byproduct of this development, adaptive regulation of the same class of nonlinearly parameterized systems with time-delay is also shown to be possible, via a similar Lyapunov-Krasovskii design method. Two examples are presented to validate the effectiveness of the proposed non-smooth feedback controllers.
Date of Conference: 15-18 December 2015
Date Added to IEEE Xplore: 11 February 2016
ISBN Information:
Conference Location: Osaka, Japan

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