Robust Exponential Stability and L2-Gain for Switched Discrete-Time Nonlinear Cascade Systems

摘要：

　　The robust exponential stability and L2-gain for a class of switched discrete-time nonlinear cascade systems are considered in this paper.Firstly,the exponential stability for switched discrete-time nonlinear cascade systems affected by norm-bounded time-varying uncertainties is studied.With an inequality of the inverse matrix and other matrix inequalities,the uncertainties in systems can be subtly handled.Using the average dwell-time method and piecewise Lyapunov function approach,a sufficient condition of the robust exponential stability for switched systems in this case is given.Then,the L2-gain of switched discrete-time nonlinear cascade systems with the externally disturbed input is analyzed.The sufficient conditions of the exponential stability and L2-gain for switched nonlinear systems are obtained under the designed switching law.Finally,the simulations are given to show the validity of the results.

关键词： Exponential Stability L2-Gain Switched Discrete-Time Nonlinear Systems Average Dwell Time

作者: YAN Han ZHANG Xiaoli

作者单位: Department of Automation,Xiamen University,Xiamen,China,361005

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 4198-4203

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）