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Global rational stabilization of a class of nonlinear time-delay systems

Echi Nadhem, Ghanmi Boulbaba

Archives of Control Sciences

2019

Vol. 29, No. 2

259--278

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under delay dependent conditions, we suggest a nonlinear time-delay observer to estimate the system states, a state feedback controller and the observer-based controller rational stability is provided. Moreover, global rational stability using output feedback is given. Finally, the study presents simulation findings to show the feasibility of the suggested strategy.