Exponential stabilization for linear networked control systems with delays and packets losses

This paper is concerned with the problem of exponential stabilization for linear networked control systems (NCSs). First, by analyzing the sampling process, the mathematical model of a linear NCS is formulated as a time-varying delay system under an acceptable assumption of network-induced delays and data packet dropouts. Then, based on delay-dependent approach, the exponential stabilization problem for the NCS is discussed in which a networked state feedback controller is designed to guarantee that the NCS becomes stable at least as fast as a pre-selected decay rate to improve the transient response of the NCS. The design method is proposed in the form of linear matrix inequality (LMI), so it can be solved efficiently using LMI toolbox in Matlab. Next, under a particular condition of the network, an advance algorithm is used to estimate the maximum allowable bound of the selected decay rate that a satisfied controller exists. In reverse, the algorithm can also be used to estimate the maximum acceptable bound of the network-induced delays and packet dropouts corresponding to a pre-selected decay rate. Finally, a numerical example is provided to describe the effectiveness of the proposed method.