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Computer-controlled variable-structure systems

Published online by Cambridge University Press:  17 February 2009

Xinghuo Yu  and
Renfrey B. Potts
Xinghuo Yu
Affiliation:
Department of Math. and Computing, University of Central Qld., Qld., 4702.
Renfrey B. Potts
Affiliation:
2Applied Mathematics Department, The University of Adelaide, South Australia, 5001.
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Abstract

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A theory is developed for the computer control of variable-structure systems, using periodic zero-order-hold sampling. A simple two-dimensional system is first analysed, and necessary and sufficient conditions for the occurrence of pseudo-sliding modes are discussed. The method is then applied to a discrete model of a cylindrical robot. The theoretical results are illustrated by computer simulations.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 1 , July 1992 , pp. 1 - 17
Copyright
Copyright © Australian Mathematical Society 1992

References

[1] Åström, K. J. and Wittenmark, B., Computer controlled systems: theory and design (Prentice-Hall, Inglewood Cliffs, 1984).Google Scholar
[2] Barbashin, E. A., Introduction to the theory of stability (Wolters-Noordhoof, Groningen, 1970).Google Scholar
[3] Bezdovinskaya, T. A. and Sabaev, E. F., “Study of state space features in variable structure control systems”, Autom. Remote Control 7 (1973) 1105–1108.Google Scholar
[4] Neuman, C. P. and Tourassis, V. D., “Discrete dynamic robot models”, IEEE Trans. Syst. Man Cybern. SMC-15 (1985) 193–204.Google Scholar
[5] Ortega, J. M. and Rheinboldt, W. C., Iterative solution of nonlinear equations in several variables (Academic Press, New York, 1970).Google Scholar
[6] Potts, R. B. and Yu, X., “Discrete variable structure system with pseudo-sliding mode”, J Austral. Math. Soc. Ser. B 32 (1991) 365–376.Google Scholar
[7] Tan, H. H. and Potts, R. B., “A discrete path/trajectory planner for robotic arms”, J. Austral. Math. Soc. Ser. B 31 (1989) 1–28.Google Scholar
[8] Tourassis, V. D. and Neuman, C. P., “Inverse dynamics applications of discrete robot models”, IEEE Trans. Syst. Man Cybern. SMC-15 (1985) 798–803.CrossRefGoogle Scholar
[9] Young, K-K. D., “Controller design for a manipulator using theory of variable structure systems”, IEEE Trans. Syst. Man Cybern. SMC-8 (1978) 101–109.CrossRefGoogle Scholar