J Austral Math Soc Ser B 32 pp365--376, 1991.

Discrete variable structure system with pseudo-sliding mode

R. B. Potts and X. Yu

Abstract

Variable structure systems with sliding modes have been widely discussed and used in many different fields of applications. The precise behaviour at a switching surface is complicated because there the system is non-analytic. The damped simple harmonic oscillator with a nonlinear variable structure is discretised and analysed in detail, revealing the occurrence and structure of pseudo-sliding modes which give insight to the corresponding sliding modes for the continuous system. Necessary and sufficient conditions are obtained and the analysis illustrated with graphs from numerical solutions.

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Authors

R. B. Potts

X. Yu

Applied Mathematics Department, The University of Adelaide, South Australia 5001.