Feasibility criteria of sliding mode controllers for time-delay systems

This paper is devoted to the feasibility problems of the sliding mode controller for time-delay systems. By using inequality transformation skills, the feasibility problem of the sliding mode controller for nonlinear uncertain time-delay system can be transformed into the quadratic stabilizability by state feedback for linear systems. Some intuitionistic feasibility criteria on the memory and the memoryless sliding mode controllers are respectively given, which can judge the feasibility of the controller without solving the linear matrix inequalities. A numerical example is included to illustrate the obtained results.