扰动可变双切换系统的稳定性分析与控制研究  

Stability Analysis and Control Study of Variable Dual Switching Systems

作　　者：穆倩倩 余丽静 李斌 MU Qian-qian;YU Li-jing;Li Bin(School of Mathematics and Big Data,Guizhou Education University,Guiyang,Guizhou,550018;China Tower Co.,Ltd.Guizhou Branch,Guiyang,Guizhou,550081)

机构地区：[1]贵州师范学院数学与大数据学院,贵州贵阳550018 [2]中国铁塔股份有限公司贵州省分公司,贵州贵阳550081

出　　处：《贵州师范学院学报》2023年第12期8-14,共7页Journal of Guizhou Education University

基　　金：贵州省教育厅青年科技人才成长项目“基于Markov随机跳跃过程的双切换混杂动态系统研究”(黔教合[2021]239);贵州省科学技术基金计划“复杂混沌系统特性分析及在大数据安全中的应用研究”(黔科合基础-ZK[2022]一般329)。

摘　　要：近年来,双切换模型逐步应用风电系统等混杂系统的建模与控制。基于此应用背景,提出一类新型的具有扰动的连续时间可变双切换线性系统,通过设计切换策略研究该类系统的稳定性。首先利用能量期望最小原则设计切换策略,然后结合随机多Lyapunov函数与统计分析方法研究系统的几乎处处全局渐近稳定性。最后,将该类扰动双切换模型应用于具有丢包的多回路网络控制系统中。实验仿真结果表明在所设计切换控制策略下系统快速收敛,验证了方案的合理性,也为该类混杂系统的控制研究提供了新方法。In recent years,the dual switching model has been gradually applied to control hybrid systems,such as wind power systems in recent years.Based on this application background,a new class of continuous-time variable dual switching linear systems with disturbances is proposed,and the stabilization of such systems is investigated by designing switching strategies.Firstly,the energy expectation minimization method is used to design a switching strategy combining stochastic multi-Lyapunov functions with statistical analysis to study the globally asymptotical stability almost surely.Finally,the perturbed dual switching model is applied to the control system of a multi-loop network with packet loss.The simulation results show that the system converges quickly under the designed deterministic switching signal,which verifies the rationality of the scheme.A new approach for the control study of this hybrid system is provided.

关 键 词：双切换系统 可变切换 几乎处处全局渐近稳定性 马尔可夫过程 扰动 多回路网络控制系统 

分 类 号：TH701[机械工程—仪器科学与技术]