Stabilizability of minimum-phase systems with colored multiplicative uncertainty  

作　　者：Junhui Li Jieying Lu Weizhou Su 

机构地区：[1]School of Automation Science and Engineering,South China University of Technology,Wushan,Guangzhou,510641,Guangdong,China

出　　处：《Control Theory and Technology》2022年第3期382-391,共10页控制理论与技术（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Nos.61933006 and 61673183)。

摘　　要：This work addresses the mean-square stability and stabilizability problem for minimum-phase multi-input and multi-output(MIMO)plant with a novel colored multiplicative feedback uncertainty.The proposed uncertainty is generalization of the i.i.d.multiplicative noise and assumed to be a stochastic system with random finite impulse response(FIR),which has advantage on modeling a class of network phenomena such as random transmission delays.A concept of coefficient of frequency variation is developed to characterize the proposed uncertainty.Then,the mean-square stability for the system is derived,which is a generalization of the well-known mean-square small gain theorem.Based on this,the mean-square stabilizability condition is established,which reveals the inherent connection between the stabilizability and the plant’s unstable poles and the coefficient of frequency variation of the uncertainty.The result is verified by a numerical example on the stabilizability of a networked system with random transmission delay as well as analog erasure channel.

关 键 词：Mean-square stability Mean-square stabilizability Colored multiplicative noise Networked control system 

分 类 号：O17[理学—数学]