Mean square stabilization of multi-input systems over shared packet loss channels via the co-design of scheduling and control
WU Yi-lin
SHEN Zhi-ping
ZHAO Qian
ZHANG Qian
ZHANG Fei-fei
Abstract：The networked system uses limited capacity channels to complete the information exchange between various devices,and its overall performance depends not only on the control strategy,but also on the communication mechanism.Based on the idea of scheduling and control co-design,this paper solves the network stabilization problem where multiple inputs must share a small number of communication channels,where each communication channel is modeled as a random packet loss model.Firstly,based on the properties of multi-controller systems,the stabilization problem of multi-input systems through shared channel is transformed into that of switched linear systems in a scheduling period.Secondly,the stability of the closed-loop system is transformed into that of linear operators which is easy to solve by using the idea of equivalent transformation for the case of sharing a single random packet loss channel.According to the Wonham decomposition technique and the optimal supplementary sensitivity of the system,the appropriate scheduling strategy and controller are constructed,and then the sufficient conditions expressed by the relationship between packet loss rate and the instability of the system are obtained.Thirdly,the above conclusions are extended to the case of sharing multiple random packet loss channels.Then,according to the majorization theory,linear coding techniques,the conditions of packet loss rate are given when the networked system can be stabilized under uniform scheduling strategy.Finally,numerical examples and simulation verify the rationality of the conclusion.
Keywords：networked control systemsrandom packet lossmean square stabilizationco-designscheduling
Publication Date：2025-05-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 989-998 )