Robust dissipative control for time-delay bilinear singular systems with uncertainties

The problem of robust dissipative control for time-delay bilinear singular systems with dissipative uncertainties is studied. Firstly, the conception of dissipative uncertainties is introduced into bilinear singular systems. The sufficient condition of robust stable and strict dissipativity for singular systems is obtained by means of linear matrix inequalities (LMI). Then the robust dissipative state feedback controller which guarantees robust stable and strict dissipativity for the closed-loop systems is constructed by using the solutions of LMI. Finally, a numerical example is provided to illustrate the feasibility of the proposed conclusion.