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Discrete variable structure system with pseudo-sliding mode

Published online by Cambridge University Press:  17 February 2009

R. B. Potts  and
X. Yu
R. B. Potts
Affiliation:
Applied Mathematics Department, The University of Adelaide, South Australia 5001.
X. Yu
Affiliation:
Applied Mathematics Department, The University of Adelaide, South Australia 5001.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 32 , Issue 4 , April 1991 , pp. 365 - 376
Copyright
Copyright © Australian Mathematical Society 1991

References

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