Robust admissibility and admissibilisation of uncertain discrete singular time-delay systems. Issue 15 (17th November 2016)

• Record Type: Journal Article
• Authors: Cui, Yukang; Lam, James; Feng, Zhiguang; Shen, Jun
• Is Part Of: International journal of systems science. Volume 47:Issue 15(2016)
• Page Start: 3720
• Page End: 3729
• Publication Date: 2016-11-17
• Subjects: Admissibility -- discrete-time system -- scaled small gain theorem -- singular system -- time-varying delay; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2015.1117158
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract: This paper is concerned with the characterisation of robust admissibility and admissibilisation for uncertain discrete-time singular system with interval time-varying delay. Considering the norm-bounded uncertainty and the interval time-varying delay, a new comparison model is introduced to transform the original singular system into two connected subsystems. After this transformation, a singular system without uncertainty and delay can be handled by the Lyapunov–Krasovskii functional method. By virtue of the scaled small gain theorem, an admissibility condition of the original singular system is proposed in terms of linear matrix inequalities. Moreover, the problem of robust admissibilisation of uncertain discrete singular time-varying system is also studied by iterative linear matrix inequality algorithm with initial condition optimisation. Several numerical examples are used to illustrate that the results are less conservative than existing ones.