On discrete-time variable structure sliding mode control. (English) Zbl 0986.93013

Hui, Stefen; Żak, Stanislaw H.

Syst. Control Lett. 38, No. 4-5, 283-288 (1999).

Summary: The purpose of this paper is to show the limitations of discrete-time variable structure sliding mode control and that the equivalent control must be used in order to have sliding in a neighborhood of the switching surface. Conflicting requirements for the sliding mode controller behavior in the continuous and discrete-time domains are revealed and analyzed. A linear control law for an uncertain discrete-time linear plant, with bounded uncertainties, is analyzed, and its superiority over nonlinear controllers is demonstrated. The conclusion of the obtained results is that in the discrete-time variable structure sliding mode controller design, unlike in the continuous-time, the designer may have limited flexibility in selecting controller architectures.

MSC:

93B12	Variable structure systems
93C55	Discrete-time control/observation systems

Keywords:

discrete-time systems; sliding modes; variable structure control; limitations

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