Huang, An-Chyau; Kuo, Yeu-Shun Sliding control of non-linear systems containing time-varying uncertainties with unknown bounds. (English) Zbl 1010.93020 Int. J. Control 74, No. 3, 252-264 (2001). 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. Reviewer: Michael I.Krastanov (Sofia) Cited in 12 Documents MSC: 93B12 Variable structure systems 93C40 Adaptive control/observation systems 93C10 Nonlinear systems in control theory 93C73 Perturbations in control/observation systems Keywords:sliding mode control; uncertain nonlinear systems; disturbances PDFBibTeX XMLCite \textit{A.-C. Huang} and \textit{Y.-S. Kuo}, Int. J. Control 74, No. 3, 252--264 (2001; Zbl 1010.93020) Full Text: DOI