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Robust H Control for Uncertain Nonlinear Systems

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Abstract

This paper studies the robust H disturbance attenuation with internal stability for uncertain nonlinear control systems. By adding one power integrator technique, this paper designs a explicit smooth robust dynamic feedback law while rejecting the disturbance to any specified degree of accuracy. Further, the example and simulation results show the effectiveness of the proposed schemes.

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References

  1. Z. P. Jiang and I. Kanellakopoulos, Global output-feedback tracking for a benchmark nonlinear system, IEEE Trans. Automat. Contr., 2000, 45(5): 1023–1027.

    Article  Google Scholar 

  2. A. B. Acikmese and M. Corless, Robust output tracking for uncertain nonlinear systems subject to almost constant disturbances, Automatica, 2002, 36(11): 1919–1926.

    Article  Google Scholar 

  3. D. Z. Chen, L. Guo, and J. Huang, On quadratic Lyapunov functions, IEEE Trans. Automat. Contr., 2003, 48(5): 885–890.

    Article  Google Scholar 

  4. Y. G. Hong, H control, stabilization, and input-output stability of nonlinear systems with homogeneous properties, Automatica, 2001, 37(6): 819–829.

    Article  Google Scholar 

  5. W. Lin and R. Pongvuthithum, Recursive design of discontinuous controllers for uncertain driftless systems in power chained form, IEEE Trans. Automat. Contr., 2000, 45(10): 1886–1892.

    Article  Google Scholar 

  6. R. Marino, G. L. Santosuosso, and P. Tomei, Robust adaptive observers for nonlinear systems with bounded disturbances, IEEE Trans. Automat. Contr., 2001, 46(6): 967–972.

    Article  Google Scholar 

  7. F. Y Tan, H. Yamato, and T. Koyama, H control design to include nonlinearities. Second report: nonlinearities in equations of motion, J. Mar. Sci. Techno, 2002, 6(3): 148–157.

    Article  Google Scholar 

  8. W. Wang and J. Huang, Output regulation problem of a class of singular nonlinear systems with the normal output feedback controller, Asian Journal of Control, 2003, 5(1): 153–159.

    Article  Google Scholar 

  9. C. J. Qian and W. Lin, Almost disturbance decoupling for a class of high-order nonlinear systems, IEEE Trans. Automat. Contr., 2000, 45(6): 1208–1214.

    Article  Google Scholar 

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Correspondence to Weiping Bi.

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The research is supported by the Natural Science Foundation of Henan Province under Grant No. 2007120005.

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Bi, W. Robust H Control for Uncertain Nonlinear Systems. Jrl Syst Sci & Complex 20, 545–553 (2007). https://doi.org/10.1007/s11424-007-9052-z

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  • DOI: https://doi.org/10.1007/s11424-007-9052-z

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