Output feedback dissipative control for linear discrete-time systems with time-delay

The quadratic dissipative control for linear discrete-time systems with time-delay is considered.The objective is to design a dynamic output feedback controller achieving asymptotic stability and strict quadratic dissipativeness.First,it is shown that the strict quadratic dissipativeness can be reduced to the solvability of LMIs and sufficient conditions are obtained for the system to be asymptotically stable and strictly quadratic dissipative,and then the output feedback dissipative control problem is addressed.Conditions for the existence of the out-put feedback controller are derived and steps for designing the controller are given.The results obtained provide not only a unified framework for H-infinity control and passive control,but also a more flexible and less conservative design method for linear discrete-time systems with time-delay.