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Sliding control of non-linear systems containing time-varying uncertainties with unknown bounds. (English) Zbl 1010.93020
A class of single-input non-autonomous nonlinear systems is considered in the presence of unknown time-varying uncertainties and disturbances with unknown bounds. A sliding controller is designed with adaptive laws to give proper tracking performance. The controller design procedure consists in two steps. First, a feedback control is constructed to make the sliding surface attractive. Next, the uncertainties and disturbances are estimated by using a finite-term Fourier series approximation. Some simulation results are also presented.
MSC:
93B12Variable structure systems
93C40Adaptive control systems
93C10Nonlinear control systems
93C73Perturbations in control systems