LQG control for networked control systems in the presence of data packet drops

• Published in: 2016 35th Chinese Control Conference (CCC) pp. 7428 - 7433
• Main Authors: Xu, Kun, Zhou, Jianming, Liu, Fei, Gu, Guoxiang
• Format: Conference Proceeding Journal Article
• Language: English
• Published: TCCT 01-07-2016
• Subjects: Asymptotic stability; Conferences; Control systems; data packet drop; Inequalities; LQG control; Mathematical models; MIMO (control systems); Networked control system; Networked control systems; Noise; Numerical stability; Packets (communication); Process control; Stability; Stability analysis; State feedback
• ISSN: 2161-2927; 1934-1768
• DOI: 10.1109/ChiCC.2016.7554534

We study the linear-quadratic-Gaussian (LQG) control for multiple-input/multiple-output (MIMO) discrete-time networked control systems (NCSs) in the presence of data packet drops that are modeled as multiplicative noises, assumed to be white processes. We will first analyze the mean square (MS) stability problem for MIMO feedback systems in the presence of the multiplicative noises, and provide a new useful MS stability condition. The LQG control under packet data drops will then be studied in which the critical probability of the received data packet can be computed by solving a set of linear matrices inequalities (LMIs), beyond which the modified algebraic Riccati equations, associated with the LQG control, admit the stabilizing solutions. Finally a numerical example from the known literature is employed to illustrate our results.