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

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

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

Citations:

Zbl 0534.93035
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References:

[1] DOI: 10.1080/00207178408933250 · Zbl 0534.93035
[2] DOI: 10.1109/TPAS.1982.317117
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