基于T-S模糊模型的多时滞非线性网络切换控制系统非脆弱H控制
作者:
作者单位:

(1. 天津城建大学计算机与信息工程学院,天津300384;2.中国农业大学信息与电气工程学院, 北京100083)

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E-mail: lgliuyi@163.com.

中图分类号:

TP273

基金项目:

国家自然科学基金项目(61871380);天津市自然科学基金项目(17JCQNJC00500);天津市科技特派员项目(17JCTPJC50600,18JCTPJC6180);天津市教委科研计划项目(2018KJ174).


Non-fragile H control for multi-delay nonlinear network switching control system based on T-S model
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Affiliation:

(1. School of Computer and Information Engineering,Tianjin Chengjian University,Tianjin300384,China;2. College of Information and Electrical Engineering,China Agricultural University,Beijing100083,China)

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    摘要:

    针对一类控制器增益存在摄动的不确定非线性网络切换系统,在系统同时存在随机时变时滞和数据包丢失的情况下,研究系统的非脆弱H控制问题.首先,利用T-S模型,将非线性网络切换系统建模为网络切换模糊系统;其次,将数据包丢失作为时滞处理,并采用Bernoulli分布的随机序列描述该时滞;再次,采用平均驻留时间的方法(ADT)设计系统的切换律及非脆弱状态反馈控制器,并给出网络切换模糊时滞系统指数稳定的平均驻留时间条件;最后,结合李雅普诺夫(LKF)方法给出系统均方指数稳定且满足H性能指标的充分条件.仿真结果验证了所提出设计方法的有效性.

    Abstract:

    The non-fragile H control problem is studied for the uncertain nonlinear network switching system with random time-varying delay and data packet dropout, in which the controller gain exists perturbation. Firstly, based on the T-S model, the nonlinear network switching system is modeled as a network switch fuzzy system. Then, the packet loss is treated as a time delay, and the time delay is described by the random sequence of Bernoulli distributed. By using the average dwell time(ADT) method, the system switching law and the non-fragile state feedback controller are designed, and the ADT condition of the exponential stability for the network switched fuzzy system is presented. Finally, by combining with Lyapunov(LKF) method, a sufficient condition for the mean square exponential of system stable and satisfying the performance criterion of H is presented. A Matlab numerical simulation verifies the effectiveness of the designed method.

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刘毅,梅玉鹏,李国燕,等.基于T-S模糊模型的多时滞非线性网络切换控制系统非脆弱H控制[J].控制与决策,2021,36(5):1087-1094

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  • 在线发布日期: 2021-04-08
  • 出版日期: 2021-05-20