摘要
研究带有不确定线性时滞切换系统的稳定性,并对其设计具有H_∞性能指标的滤波器问题。根据参数不确定的线性切换系统,来设计切换系统滤波器结构,并设计分段Lyapunov函数,再结合Lyapunov稳定性原理,引入积分不等式方法,验证所设计的不确定线性时滞增广滤波误差切换系统是稳定的,并且具有H_∞性能水平。进一步提出了切换系统的鲁棒H_∞滤波器设计方法。此外,再结合线性矩阵不等式(LMI)办法来求解H_∞滤波器设计问题,将问题归结为线性矩阵不等式,以便利用Matlab工具箱求解并验证结果的有效性。最后,解决处理系统的不确定部分。较少的决策变量和较多的计算使所得到的结果具有较小的保守性。
In this paper,the stability of a linear time-delay switching system with uncertainty is studied.Through parameter uncertain linear switched systems,a filter is designed for switched systems.By using piecewise Lyapunov funetion and.Further introducing the integral inequality we can verify that the design of uncertain linear time-delay augmented filtering error of switched systems stable,on the other hand there is a H∞performance level.A robusty H∞filter design method for switching system is proposed.In addition one combined with linear matrix inequality(LMI)approach to solve the H∞filter design problem,that is beneficial to the problem due to the solution of linear matrix inequality(LMI),easy to solve by using the Matlab toolbox and to verify the results of effectiveness.Finally,the uncertain part of the processing system is solved.At the same time,the paper deals with fewer decision variables and more calculations,which makes the results less conservative.
作者
刘玉忠
冯岩
LIU Yuzhong;FENG Yan(College of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China)
出处
《沈阳师范大学学报（自然科学版）》
CAS
2018年第1期31-40,共10页
Journal of Shenyang Normal University:Natural Science Edition
基金
辽宁省科技厅自然科学基金资助项目(20170540821)
