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Output Feedback H_\infty Control Design For Polynomial T–S Systems: A Novel SOS Approach

Output Feedback H_\infty Control Design For Polynomial T–S Systems: A Novel SOS Approach

Authors :
Chaibi, Redouane
Yagoubi, Mohamed
Commande (Commande)
Laboratoire des Sciences du Numérique de Nantes (LS2N)
IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique)
Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique)
Université de Nantes (UN)-Université de Nantes (UN)-École Centrale de Nantes (ECN)-Centre National de la Recherche Scientifique (CNRS)
Département Automatique, Productique et Informatique (IMT Atlantique - DAPI)
Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)
Source :
ICSTCC 2020 : 24th International Conference on System Theory, Control and Computing, ICSTCC 2020 : 24th International Conference on System Theory, Control and Computing, Oct 2020, Sinaia, Romania
Publication Year :
2020
Publisher :
HAL CCSD, 2020.

Abstract

International audience; This paper considers the design of a static output feedback (SOF) H_\infty controller for a polynomial Takagi-Sugeno(T–S) system in the continuous-time setting. The sought SOF controller guarantees asymptotic stability and H_\infty performance of the closed-loop system. Sufficient conditions for the existence of such SOF controllers are derived, in the form of sum-of-squares (SOS) using polynomial Lyapunov functions (PLF). These conditions do not include an iterative algorithm or an equality constraint which leads to a more tractable solution. The proposed gain is obtained by means of less conservative conditions than existing ones. This is illustrated through some numerical examples which demonstrate, at the same time, the applicability of the suggested design approach.

Details

Language :
English
Database :
OpenAIRE
Journal :
ICSTCC 2020 : 24th International Conference on System Theory, Control and Computing, ICSTCC 2020 : 24th International Conference on System Theory, Control and Computing, Oct 2020, Sinaia, Romania
Accession number :
edsair.dedup.wf.001..2f033509ee085c9607af9b172dfefdf4