Quasi-sliding mode controller design for discrete-time systems with multiple input delays—Using state transformation method

This paper deals with the control problem of a class of discrete time systems with multiple input delays. By using a state transformation approach, the discrete time system with multiple input delays can be transformed into an equivalent linear system with free of input delays. Based on the equivalent linear system, a quasi-sliding mode controller is presented for the discrete-time system with multiple input delays. An illustrative example is provided to demonstrate the usefulness of the proposed design scheme.