Article · Cogent Engineering · January 1, 2020

Global output tracking by state feedback for high-order nonlinear systems with time-varying delays

Keylan Alimhan, Orken J. Mamyrbayev, Aigerim Yerdenova, Almira Akmetkalyeva

Abstract

This paper focuses on the problem of global practical output tracking for a class of high-order non-linear systems with time-varying delays (via state feedback). Under mild growth conditions on the system nonlinearities involving time-varying delays, we construct a state feedback controller with an adjustable scaling gain. With the aid of a Lyapunov–Krasovskii functional, the scaling gain is adjusted to dominate the time-delay nonlinearities bounded by the growth conditions and make the tracking error arbitrarily small while all the states of the closed-loop system remain to be bounded. Finally, a simulation example is given to illustrate the effectiveness of the tracking controller.

Stability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationAdaptive Control of Nonlinear Systemshigh-order nonlinear systemstime-varying delaysstate feedback

Global output tracking by state feedback for high-order nonlinear systems with time-varying delays

Abstract

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