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Practical disturbance rejection of a class of nonlinear systems via sampled output

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Abstract

This paper presents a sampled-data control scheme for the disturbance rejection of nonlinear systems in the output feedback form. The continuous-time controller is designed first using a filtered transformation and the internal model technique. Using the emulation approach, the proposed sampled-data control uses the sampled output and a discrete-time implementation of the filter, and the internal model is involved. The proposed control is shown to render the overall system stable in a spirit of fast sampling. In particular, the disturbance is practically rejected in the sense that the ultimate bound of the output is allowed to be arbitrarily small by choosing appropriate gain parameters.

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Correspondence to Buzhou Wu.

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Buzhou WU was born in 1977. He obtained his B.S. degree in Automatic Control, M.S. degree in Mechatronics and Ph.D. in Electrical Engineering from Northwestern Polytechnical University, Xi’an Jiaotong University and University of Manchester, respectively. His current research interests include sampled-data control of nonlinear systems, adaptive control and disturbance rejection of nonlinear systems, etc. He is now with Atmos International, working on leak detection and location of pipeline systems.

Zhengtao DING graduated with B.E. degree from Tsinghua University, Beijing, China. He then studied control engineering in the Control Systems Centre, UMIST, with M.S. in Systems and Control and Ph.D. in Control Systems. He joined as an academic in the School of Engineering, University of Manchester in September 2003 after having been a lecturer in Ngee Ann Polytechnic, Singapore for ten years. He joined the Control Systems Centre, School of Electrical and Electronic Engineering, after the merger of the two universities. His research interests are mainly focused on nonlinear and adaptive control theory and their applications.

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Wu, B., Ding, Z. Practical disturbance rejection of a class of nonlinear systems via sampled output. J. Control Theory Appl. 8, 382–389 (2010). https://doi.org/10.1007/s11768-010-0048-1

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  • DOI: https://doi.org/10.1007/s11768-010-0048-1

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