Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System

doi:10.1007/s11633-020-1222-7

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	Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System
	Younes Solgi; Alireza Fatehi; Ala Shariati
发表期刊	International Journal of Automation and Computing
ISSN	1476-8186
	2020
卷号	17 期号:5 页码:713-732
摘要	This paper proposes a novel less-conservative non-monotonic Lyapunov-Krasovskii stability approach for stability analysis of discrete time-delay systems. In this method, monotonically decreasing requirements of the Lyapunov-Krasovskii method are replaced with non-monotonic ones. The Lyapunov-Krasovskii functional is allowed to increase in some steps, but the overall trend should be decreasing. The model of practical systems used for stability analysis usually contain uncertainty. Therefore, firstly a non-monotonic stability condition is derived for certain discrete time-delay systems, then robust non-monotonic stability conditions are proposed for uncertain systems. Finally, a novel stabilization algorithm is derived based on the introduced non-monotonic stability condition. The Lyapunov-Krasovskii functional and the controller are obtained by solving a set of linear matrix inequalities (LMI) or iterative LMI based nonlinear minimization. The proposed theorems are first evaluated by some numerical examples, and then by simulation and implementation on the pH neutralizing process plant.
关键词	Lyapunov-Krasovskii functional discrete state-delay systems non-monotonic Lyapunov function robust stability stabilization.
DOI	10.1007/s11633-020-1222-7
引用统计
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/42270
专题	学术期刊_Machine Intelligence Research
作者单位	APAC Research Group, Industrial Control Center of Excellence, Faculty of Electrical Engineering, K.N. Toosi University of Technology, Tehran 1631714191, Iran
推荐引用方式 GB/T 7714	Younes Solgi,Alireza Fatehi,Ala Shariati. Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System[J]. International Journal of Automation and Computing,2020,17(5):713-732.
APA	Younes Solgi,Alireza Fatehi,&Ala Shariati.(2020).Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System.International Journal of Automation and Computing,17(5),713-732.
MLA	Younes Solgi,et al."Novel Non-monotonic Lyapunov-Krasovskii Based Stability Analysis and Stabilization of Discrete State-delay System".International Journal of Automation and Computing 17.5(2020):713-732.

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