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Output feedback adaptive DSC for nonlinear systems with guaranteed L-infinity tracking performance

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Abstract

In this paper, the problem of output tracking for a class of uncertain nonlinear systems is considered. First, neural networks are employed to cope with uncertain nonlinear functions, based on which state estimation is constructed. Then, an output feedback control system is designed by using dynamic surface control (DSC). To guarantee the L-infinity tracking performance, an initialization technique is presented. The main feature of the scheme is that explosion of complexity problem in backstepping control is avoided, and there is no need to update the unknown parameters including control gains as well as neural networks weights, the adaptive law with one update parameter is necessary only at the first design step. It is proved that all signals of the closed-loop system are semiglobally uniformly ultimately bounded and the L-infinity performance of system tracking error can be guaranteed. Simulation results demonstrate the effectiveness of the proposed scheme.

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Authors and Affiliations

  1. Engineering College, Air Force Engineering University, Xi’an Shaanxi, 710038, China

    Xiuduan Yu, Xiuxia Sun & Wenhan Dong

  2. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing, 100191, China

    Yan Lin

Authors
  1. Xiuduan Yu
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  2. Xiuxia Sun
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  3. Yan Lin
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  4. Wenhan Dong
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Corresponding author

Correspondence to Xiuduan Yu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 60874044, 60904038), the Research Foundation for Key Disciplines of Beijing Municipal Commission of Education (No. XK100060422).

Xiuduan YU was born in 1981. He received his B.S. degree from the First Aeronautical College of Air Force in 2005, M.S. degree from Air Force Engineering University in 2008. Currently, he is a Ph.D. candidate at the Engineering Institute, Air Force Engineering University. His research interests include adaptive control and flight control.

Xiuxia SUN was born in 1962. She is a professor at the Engineering Institute, Air Force Engineering University. Her research interests include robust control and adaptive control.

Yan LIN was born in 1955. He is a professor at the School of Automation, Beijing University of Aeronautics and Astronautics. His research interests include robust control and adaptive control.

Wenhan DONG was born in 1979. He is a lecturer at the Engineering Institute, Air Force Engineering University. His research interests include adaptive control and flight control.

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Yu, X., Sun, X., Lin, Y. et al. Output feedback adaptive DSC for nonlinear systems with guaranteed L-infinity tracking performance. J. Control Theory Appl. 10, 124–131 (2012). https://doi.org/10.1007/s11768-012-0298-1

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  • DOI: https://doi.org/10.1007/s11768-012-0298-1

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