Robust strictly dissipative control for linear discrete delay singular systems
滞后离散广义系统的鲁棒严格耗散控制

This paper deals with the design of memory-less state feedback strictly dissipative controllers for linear discrete delay singular systems with or without uncertainty.By using the approach of linear matrix inequality(LMI),firstly a sufficient condition is presented for a prescribed linear discrete delay singular system to be admissible(i.e.regular,stable and causal) and strictly dissipative,then the existence condition with explicit expression of a memory-less state feedback strictly dissipative controller is derived in terms of matrix inequalities(MIs).Furthermore,for an uncertain system where all coefficient matrices,except matrix E,contain norm-bounded uncertainties,a robust strictly dissipative controller is designed by using the solution of matrix equalities.This controller guarantees the resultant closed-loop system to be generalized quadratically stable and strictly dissipative.