H-infinity Output Tracking Control for Networked Systems with Multiple Packet Dropouts

In this note, H_∞ output tracking problem for network-based control system with multiple packet dropouts is introduced. Two channel packet dropouts are simultaneously considered due to limited communication capacity. One is measurement channel packet dropouts which are from the sensor to the controller. The other is control channel packet dropouts which are from the controller to the actuator. The random multiple packet dropouts are assumed to subject to the Bernoulli random binary distribution. A linear matrix inequality(LMI)-based design method is proposed for designing observer-based feedback controller to guarantee: 1) the closed loop system to be mean-square stable, 2) the output of the closed-loop system tracks the output of a given reference model well in the H_∞ sense, 3) reduce the tracking error as small as possible for all bounded reference inputs. Finally, illustrative examples are provided to show the applicability of the proposed method.