Abstract: Based on ARMA model, a sliding mode controller design approach for discrete-time system using output feedback is developed in this paper, which can be considered as the extension of the variable structure system design approach for continuous-time systems to discrete-time system. This paper also deals with the effect of the introduction of quasi-sliding mode on system performance, and establishes the dynamic balance conditions. Combining the approach proposed in this paper and system parameter identification, the system performance is further improved. Finally, the effectiveness and the good performance of the design approach are examined by a numerical example.

Key words: discrete-time systems, the sliding mode control, adaptiveness