H2 and H∞ Control with sector bound optimization for Continuous Time Markov Jump Lur'e Systems. (September 2022)

• Record Type: Journal Article
• Authors: da Silva, L.P.M.; Gonçalves, A.P.C.
• Is Part Of: IFAC journal of systems and control. Volume 21(2022)
• Publication Date: 2022-09
• Subjects: Linear matrix inequalities -- Markov jump systems -- Circle criterion -- 2 and ∞state-feedback control -- 2 and ∞ dynamic output-feedback control; Automatic control -- Periodicals; Relay control systems -- Periodicals; Embedded computer systems -- Periodicals; Feedback control systems -- Periodicals; Artificial intelligence -- Periodicals; Artificial intelligence; Automatic control; Embedded computer systems; Feedback control systems; Relay control systems; Electronic journals; Periodicals; 629.89
• DOI: 10.1016/j.ifacsc.2022.100199
• Languages: English
• ISSNs: 2468-6018

Abstract

Abstract: This paper addresses the H 2 and H ∞ control of Markov Jump Systems subject to a class of nonlinearities that include them on the Lur'e system framework, with sector slope optimization. The proposed controllers are robust to nonlinearities belonging to a sector. We propose mode-dependent controllers; in other words, the Markov mode θ ( t ) is available to controllers. The design of such controllers considers the optimization of the H 2 and H ∞ costs as well as the sector slope, which determines the class of accepted nonlinearities. The results are illustrated through two practical examples: coupled electrical machines and the semi-active suspension of a quarter car.