A linear matrix inequality-based extended dissipativity criteria for linear systems with additive time-varying delays. (30th December 2019)

• Record Type: Journal Article
• Authors: Gnaneswaran, Nagamani; Joo, Young Hoon; Kim, Han Sol
• Is Part Of: IFAC journal of systems and control. Volume 10(2019)
• Publication Date: 2019-12-30
• Subjects: Additive time-varying delays -- Extended dissipativity -- Finsler's lemma -- Linear matrix inequality -- Lyapunov method; 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.2019.100070
• Languages: English
• ISSNs: 2468-6018

Abstract

Abstract: In this paper, the problem of extended dissipativity performance has been investigated for a class of linear systems with additive time-varying delays. By constructing an appropriate Lyapunov Krasovskii functional (LKF) with triple and quadruple integral terms, a delay dependent extended dissipativity criterion which specifies H ∞, dissipativity, passivity and l 2 − l ∞ performance has been established. The obtained delay derivative dependent extended dissipativity results have been presented in terms of linear matrix inequalities (LMIs) which can be efficiently solved via some standard numerical softwares. Finally, some numerical examples are provided to verify the effectiveness of the presented results.