Stabilization of sliding mode controller for uncertain discrete-time-delayed nonlinear systems using descriptor approach

Control of nonlinear systems is vital due to wide range of their application. As it is obvious that the minimum requirement in any control system is the stability, however the proof of stability is not trivial in case of the nonlinear control systems. One of the best nonlinear control techniques is sliding mode control by applying a descriptor model transformation for bounding cross terms. Descriptor approach in sliding mode controller design for uncertain discrete time delayed nonlinear system is investigated in this paper.