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

作　　者：Younes Solgi Alireza Fatehi Ala Shariati 

机构地区：[1]APAC Research Group,Industrial Control Center of Excellence,Faculty of Electrical Engineering,K.N.Toosi University of Technology,Tehran 1631714191,Iran

出　　处：《International Journal of Automation and computing》2020年第5期713-732,共20页国际自动化与计算杂志（英文版）

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 

分 类 号：O231[理学—运筹学与控制论]