Passive Control for Uncertain Discrete Time-Delay Singular Systems

The problem of robust passive control of a class of uncertain discrete time-delay singular system is discussed. Using the method of linear matrix inequality (LMI), a sufficient condition is firstly presented for the unforced system to be robust stable and strictly passive, then the existence condition of a state feedback robust passive controller is given and the explicit expression of the controller is derived in terms of the solution of LIMs, Finally, a numerical example is given to illustrate the feasibility of the conclusion.