Abstract
This paper studies the robust adaptive dynamic surface control of a class of nonlinear systems with unmatched uncertainties. The unmatched uncertainties consist of not only the linearly parameterized terms but also the nonlinearly parameterized terms. The bound of each nonlinearly parameterized uncertainty term is supposed to be expressed by a known nonnegative function multiplied by a constant called bound parameter. According to whether the bound parameters are known or not, two different kinds of robust adaptive dynamic surface control algorithms are proposed. It is proved that in each case all the states of the closed-loop system are kept uniformly ultimately bounded, and the output is driven to track a feasible desired output trajectory with an arbitrarily small error. An example is also employed to indicate the effect of the proposed methods.
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Recommended by Editorial Board member Guang-Hong Yang under the direction of Editor Young Il lee. This work was supported by National Natural Science Foundation of China (No. 60710002 and No. 60974044).
Ming-Zhe Hou received his B.Eng. degree in Automation in 2005 from Harbin Institute of Technology, China. Now, he is working toward a Ph.D. degree in the Center for Control Theory and Guidance Technology at Harbin Institute of Technology. His main research interests include nonlinear control theory and integrated guidance and control for aircrafts.
Guang-Ren Duan received his Ph.D. degree in Control Systems Theory in 1989 from Harbin Institute of Technology, China. From 1989 to 1991, he was a post-doctoral researcher at Harbin Institute of Technology, where he became a professor of control systems theory in 1991. Dr. Duan visited the University of Hull, UK, and the University of Sheffield, UK from December 1996 to October 1998and worked at the Queen’s University of Belfast, UK from October 1998 to October 2002. Since August 2000, he has been elected Specially Employed Professor at Harbin Institute of Technology sponsored by the Cheung Kong Scholars Program of the Chinese government. He is currently the Director of the Center for Control Systems and Guidance Technology at Harbin Institute of Technology. Dr. Duan is a Chartered Engineer in the UK, a Senior Member of IEEE and a Fellow of IEE. His research interests include robust control, eigenstructure assignment, descriptor systems, missile autopilot design and magnetic bearing control.
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Hou, MZ., Duan, GR. Robust adaptive dynamic surface control of uncertain nonlinear systems. Int. J. Control Autom. Syst. 9, 161–168 (2011). https://doi.org/10.1007/s12555-011-0121-7
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DOI: https://doi.org/10.1007/s12555-011-0121-7