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Burton, J. A.; Zinober, A. S. I.

Continuous approximation of variable structure control. (English) Zbl 0599.93029

Int. J. Syst. Sci. 17, 875-885 (1986).
Variable structure control systems with linear plant and switching hyperplanes are considered. In order to avoid chattering, the authors propose a continuous control law which approximates perfect sliding motion obtained by the discontinuous one. This extends to the multivariable case some results of G. Ambrosino, G. Celentano and F. Garofalo [Int. J. Control 39, 1339-1349 (1984; Zbl 0534.93035)]. An example is presented.
Reviewer: T.Zolezzi

Cited in 50 Documents

MSC:

93C15 Control/observation systems governed by ordinary differential equations
49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems

Keywords:

Variable structure control systems; continuous control law; sliding motion

Citations:

Zbl 0534.93035
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\textit{J. A. Burton} and \textit{A. S. I. Zinober}, Int. J. Syst. Sci. 17, 875--885 (1986; Zbl 0599.93029)
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References:

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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.