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Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability. (English) Zbl 1201.93108
Summary: The design of an adaptive Sliding Mode Control (SMC) scheme is proposed in this paper for stabilizing a class of dynamic systems with matched and mismatched perturbations. Two methods for designing a novel sliding surface function are introduced first. By utilizing a pseudocontrol input in the sliding surface function, one cannot only suppress the mismatched perturbations in the sliding mode, but also obtain the property of asymptotic stability. Then a sliding mode controller is designed to drive the controlled systems to the designated sliding surface in a finite time. Adaptive mechanism is also embedded in the controller as well as in the sliding surface function designed from the second method to overcome the perturbations, so that the informations of upper bound of perturbations are not required. An application of flight control and experimental results of controlling a servomotor are also given for demonstrating the applicability of the proposed control scheme.

93D20Asymptotic stability of control systems
93C40Adaptive control systems
93B12Variable structure systems
Full Text: DOI
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