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New methodologies for adaptive sliding mode control. (English) Zbl 1213.93031

Summary: This article proposes new methodologies for the design of adaptive sliding mode control. The goal is to obtain a robust sliding mode adaptive-gain control law with respect to uncertainties and perturbations without the knowledge of uncertainties/perturbations bound (only the boundedness feature is known). The proposed approaches consist in having a dynamical adaptive control gain that establishes a sliding mode in finite time. Gain dynamics also ensures that there is no overestimation of the gain with respect to the real a priori unknown value of uncertainties. The efficience of both proposed algorithms is confirmed for a tutorial example and while controlling an electropneumatic actuator.

MSC:

93B12 Variable structure systems
93C10 Nonlinear systems in control theory
93C40 Adaptive control/observation systems
93C95 Application models in control theory
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