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Conference Papers Year : 2023

Design of controls for ISS and Integral ISS Stabilization of Multistable State Periodic

Abstract

This paper is devoted to the construction of continuous and periodic controllers for ISS or iISS stabilization of a class of multistable state periodic systems. For this purpose, the concepts of practical ISS-, ISS- and iISS-control Leonov functions are introduced. Then, it is proven that the existence of these functions is a sufficient condition to ensure that the system under study is ISS- or iISS stabilizable, and explicit feedback control laws can be obtained by means of a mild adaptation of Sontag’s universal formula. The proposed method is illustrated by the design of an excitation controller for a synchronous generator ensuring ISS of the closed-loop system.
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Dates and versions

hal-04176442 , version 1 (03-08-2023)

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  • HAL Id : hal-04176442 , version 1

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Jesús Mendoza-Avila, José Ángel Mercado Uribe, Denis Efimov, Johannes Schiffer. Design of controls for ISS and Integral ISS Stabilization of Multistable State Periodic. IFAC 2023 - The 22nd World Congress of the International Federation of Automatic Control, Jul 2023, Yokohama, Japan. ⟨hal-04176442⟩
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