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- Title
Novel robust stability analysis method for uncertain systems with interval time-varying delay.
- Authors
He, Xing; Wu, Yu-bin; Song, Li-jun
- Abstract
Stability analysis of interval time-varying delay is of great significance to ensure the reliable control of industrial processes. Aim to improve the robust stability analysis performance for a class of linear systems with norm-bounded uncertainty and interval time-varying delay. In this paper, less conservative robust stability criterion is proposed based on augmented Lyapunov–Krasovskii functional (LKF) method and reciprocally convex combination. Firstly, the delay interval is divided into multiple non-equidistant subintervals by two-stage segmenting strategies and a new LKF comprising quadruple integral term is introduced for each subinterval. Secondly, a novel delay-dependent stability criterion in terms of linear matrix inequalities is proved by less conservative Wirtinger-based integral inequality approach. Two numerical comparative examples and an IEEE four-generator 11-bus power system are selected to verify the superiority of the proposed method. For the two numerical examples about closed-loop control systems and uncertain system with interval time-varying delays, the proposed robust stability criterion can enlarge the maximum allowable delay bound (MADB) about 28.4% and 67.4% than the best results in the previous literatures, respectively, and for the power system with four-generator 11-bus, The MADB in this paper is about 4.4% better than the best result in the previous literatures. All the above results show the effectiveness of the proposed approach.
- Subjects
ROBUST stability analysis; TIME-varying systems; PROCESS control systems; CLOSED loop systems; STABILITY criterion; UNCERTAIN systems; HOPFIELD networks
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2022, Vol 26, Issue 19, p10465
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-022-06889-0