Stabilization of a class of nonlinear discrete time systems with time varying delay  

作　　者：Maryam Fattahi Nastaran Vasegh Hamid Reza Momeni 

机构地区：[1]Faculty of Electrical and Computer Engineering, Tarbiat Modares University [2]Faculty of Electrical and Computer Engineering,Shahid Rajaee Teacher, Tehran, Iran

出　　处：《Journal of Central South University》2014年第10期3769-3776,共8页中南大学学报（英文版）

摘　　要：The stability and stabilization of a class of nonlinear discrete time delayed systems(NDTDS) with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii functional method, a sufficient delaydependent condition for asymptotic stability of nonlinear systems is offered. Then, this condition is used to design a new efficient delayed state feedback controller(DSFC) for stabilization of such systems. These conditions are in the linear matrix inequality(LMI) framework. Illustrative examples confirm the improvement of the proposed approach over the similar cases. Furthermore, the obtained stability and stabilization conditions will be extended to uncertain discrete time delayed systems(UDTDS) with polytopic parameter uncertainties and also with norm-bounded parameter uncertainties.The stability and stabilization of a class of nonlinear discrete time delayed systems（NDTDS） with time-varying delay and norm-bounded nonlinearity are investigated. Based on discrete time Lyapunov–Krasovskii functional method, a sufficient delaydependent condition for asymptotic stability of nonlinear systems is offered. Then, this condition is used to design a new efficient delayed state feedback controller（DSFC） for stabilization of such systems. These conditions are in the linear matrix inequality（LMI） framework. Illustrative examples confirm the improvement of the proposed approach over the similar cases. Furthermore, the obtained stability and stabilization conditions will be extended to uncertain discrete time delayed systems（UDTDS） with polytopic parameter uncertainties and also with norm-bounded parameter uncertainties.

关 键 词：nonlinear discrete time delayed systems Lyapunov–Krasovskii functional delayed state feedback linear matrix inequality（LMI） polytopic parameter uncertainties norm bounded parameter uncertainties 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]