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On output-based accelerated stabilization of a chain of integrators: Implicit Lyapunov-Krasovskii functional approach

Abstract : The problem of output accelerated stabilization of a chain of integrators is considered. Proposed control law nonlinearly depends on the output and its delayed values, and it does not use an observer to estimate the unmeasured components of the state. It is proven that such a nonlinear delayed control law ensures practical output stabilization with rates of convergence faster than exponential. The effective way of computation of feedback gains is given. It is shown that closed-loop system stability does not depend on the value of artificial delay, but the maximum value of delay determines the width of stability zone. The efficiency of the proposed control is demonstrated in simulations.
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Submitted on : Wednesday, May 27, 2020 - 3:37:30 PM
Last modification on : Thursday, March 24, 2022 - 3:43:48 AM

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Artem Nekhoroshikh, Denis Efimov, Andrey Polyakov, Wilfrid Perruquetti, Igor Furtat, et al.. On output-based accelerated stabilization of a chain of integrators: Implicit Lyapunov-Krasovskii functional approach. IFAC 2020 - 21rst IFAC World Congress, Jul 2020, Berlin, Germany. ⟨hal-02634521⟩

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