Preprint Article Version 1 This version is not peer-reviewed

Stabilization of Switched Linear Systems with Control Constraints Based on EA

Version 1 : Received: 19 November 2020 / Approved: 20 November 2020 / Online: 20 November 2020 (11:07:03 CET)

How to cite: Houssem, H.; Walid, B.M.; Noureddine, L. Stabilization of Switched Linear Systems with Control Constraints Based on EA. Preprints 2020, 2020110536 (doi: 10.20944/preprints202011.0536.v1). Houssem, H.; Walid, B.M.; Noureddine, L. Stabilization of Switched Linear Systems with Control Constraints Based on EA. Preprints 2020, 2020110536 (doi: 10.20944/preprints202011.0536.v1).

Abstract

In this paper, we address the problem of stabilization of switched linear systems. The idea is to look for a state feedback control law using evolutionary algorithms (EA) in order to assure the stability of the switched linear systems under control constraints. In some cases when states are not available and only outputs are measurable, the previous method is applied to design an output feedback controller which stabilizes the system. Both stabilizing controllers are developed using deferential evolution and genetic algorithm. Two numerical examples illustrate our proposed theory and point out the effectiveness of our proposed approaches.

Subject Areas

Stabilization; control constraints; evolutionary algorithms; switched linear system

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