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Continuous self-adaptive control using a smoothed variable structure controller. (English) Zbl 0663.93043

A new continuous self-adaptive sclar control law is developed from a straighforward modification of ‘sliding’ variable structure system theory. The controller needs no parameter identification and exhibits invariance to a class of parameter variations. The continuous controller identifies certain null spaces in the state space associated with the derivatives of the switching function defined for the variable structure system and adapts itself and the time-varying switching hyperplane accordingly. The justification of the scheme and the stability of the method are highighted. Comparisons are drawn with a previously defined discontinuous self-adaptive controller based on variable structure system theory. The general results are illustrated through the simulation of second- and third-order systems.

MSC:

93C40 Adaptive control/observation systems
49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
93C05 Linear systems in control theory
Full Text: DOI

References:

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