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

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.