摘要
本文研究了连续双切换线性正系统的状态反馈控制问题。通过构造多Lyapunov函数,利用线性矩阵不等式技术,以及马尔科夫过程暂态分析方法,提出系统在零干扰的情况下,满足平均驻留时间切换规则限制的指数几乎处处稳定的充分条件,同时得到满足系统稳定性的确定性切换律和状态反馈控制器。通过数值仿真验证,证明了推导出的条件的有效性。
The feedback control problem of a class of continuous dual-switching linear positive systems is studied in this paper. By constructing multiple Lyapunov functions, using the linear matrix inequality technique and the Markov process transient analysis method, a sufficient condition is proposed on the condition that the system satisfies the exponential almost-sure stability under the limit of the average residence time switching rule in the case of zero disturbance. At the same time, we get the deterministic switching law and state feedback controller which satisfies the system stability. The validity of the deduced conditions is verified by numerical simulation.
作者
冉晓宇
龙飞
RAN Xiaoyu;LONG Fei(College of Big Data and Information Engineering,Guizhou University,Guiyang 550025,China;College of Artificial Intelligence and Electrical Engineering,Guizhou Institute of Technology,Guiyang 550003,China)
出处
《智能计算机与应用》
2022年第7期118-122,共5页
Intelligent Computer and Applications
基金
国家自然科学基金(61813006)
贵州省基础研究计划重点基金资助项目(20191416)。
关键词
双切换系统
反馈控制
平均驻留时间
指数几乎处处稳定
dual-switched system
feedback control
average dwell time
exponential almost-sure stability
