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Discrete time sliding mode control - an advanced reaching law approach

Bartoszewicz A.

Systems Science

2002

Vol. 28, nr 4

35-42

In this paper, an advanced discrete-time reaching law is proposed and applied to the design of a sliding mode controller. The controller reduces the influence of a sinusoidal disturbance and parameter uncertainty on the system dynamics to an arbitrarily small level. Furthermore, the controller guarantees existence of the ideal sliding mode in the discrete-time system provided that the total influence of disturbance and parameter uncertainty on the system dynamics is represented by a polynomial function of time. The sliding mode is reached in a finite time. The strategy proposed in this paper can be applied to linear time-varying systems subject to disturbance and modelling uncertainty