H∞ output feedback control for descriptor networked systems with multiple packet dropouts

In this paper, the control problem with both multiple measurement and control packets dropouts for descriptor systems is investigated. Firstly, the descriptor systems are transferred to the normal systems. Then two independent Bernoulli distributed white sequence are used to describe the multiple measurement and control packet dropouts. An H∞ output controller is designed to make the systems stable and achieve the prescribed H∞ disturbance attenuation level. A sufficient condition for the existence of the dynamic output feedback controller is presented via matrix inequalities. The extended CCLM algorithm is applied to solve the parameters of the controller. Finally, an example is provided to illustrate the usefulness of the design method.