State feedback controller design for discrete-time singular systems with random packet losses

This paper considers the state feedback controller design problem for discrete-time singular systems with random packet losses. The random packet losses are described by the Bernoulli random binary distribution. Using the equivalent transformation, a new stability condition for such systems is proposed. Moreover, the problem of state feedback control is solved in terms of strict LMIs. Simulation result is given to illustrate the usage of the proposed techniques.