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The further result on global practical tracking for high-order uncertain nonlinear systems

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Abstract

This paper extends the unknown control coefficients with lower and upper constant bounds to the ones which may take arbitrarily large and /or small values. Since the existing methods are no longer applicable and the technical obstacles caused by the extensions are essential, new control design scheme should be exploited to the global practical tracking. By the approaches of Nussbaum-gain and adding a power integrator, the authors successfully propose the design scheme of the adaptive practical tracking controller for the systems. It is shown that the designed controller guarantees that all the closed-loop system states are bounded and the tracking error becomes prescribed arbitrarily small after a finite time.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    Xuehua Yan & Yungang Liu

Authors
  1. Xuehua Yan
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  2. Yungang Liu
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Correspondence to Yungang Liu.

Additional information

This research is supported by the National Natural Science Foundations of China under Grant No. 60974003 and 61143011, the Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China under Grant No. JQ200919, the Program for New Century Excellent Talents in University of China under Grant No. NCET-07-0513, the Key Science and Technique Foundation of Ministry of Education of China under Grant No. 108079, the Excellent Young and Middle-Aged Scientist Award Grant of Shandong Province of China under Grant No. 2007BS01010, the Independent Innovation Foundation of Shandong University under Grant No. 2009JQ008, the Scholarship Award for Excellent Doctoral Student granted by Ministry of Education, and the Graduate Independent Innovation Foundation of Shandong University.

This paper was recommended for publication by Editor Yiguang HONG.

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Yan, X., Liu, Y. The further result on global practical tracking for high-order uncertain nonlinear systems. J Syst Sci Complex 25, 227–237 (2012). https://doi.org/10.1007/s11424-012-0270-7

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  • DOI: https://doi.org/10.1007/s11424-012-0270-7

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