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Disturbance-observer-based robust control for time delay uncertain systems

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Abstract

A robust control scheme is proposed for a class of systems with uncertainty and time delay based on disturbance observer technique. A disturbance observer is developed to estimate the disturbance generated by an exogenous system, and the design parameters of the disturbance observer are determined by solving linear matrix inequalities (LMIs). Based on the output of the disturbance observer, a robust control scheme is proposed for the time delay uncertain system. The disturbance-observer-based robust controller is combined of two parts: one is a linear feedback controller designed using LMIs and the other is a compensatory controller designed with the output of the disturbance observer. By choosing an appropriate Lyapunov function candidate, the stability of the closed-loop system is proved. Finally, simulation example is presented to illustrate the effectiveness of the proposed control scheme.

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Authors and Affiliations

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Mou Chen

  2. Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK

    Wen-Hua Chen

Authors
  1. Mou Chen
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Correspondence to Mou Chen.

Additional information

Recommended by Editorial Board member Duk-Sun Shim under the direction of Editor Jae Weon Choi. This work was supported by the Jiangsu Natural Science Foundation of China under grant SBK2008390 and Aeronautical Science Foundation of China under grant 20075152014.

Mou Chen received his B.S. degree in Material Science and Engineering, and his Ph.D. degree in Control Engineering at Nanjing University of Aeronautics & Astronautics, Nanjing, China, in 1998 and 2004 respectively. He is currently an Associate Professor in the College of Automation Engineering at Nanjing University of Aeronautics & Astronautics, China. He was an Academic Visitor at the Department of Aeronautical and Automotive Engineering, Loughborough University, UK, from November 2007 to February 2008. From June 2008 to September 2009, he was a Research Fellow at Department of Electrical & Computer Engineering National University of Singapore, Singapore. His research interests include nonlinear system control, intelligent control, and flight control.

Wen-Hua Chen received his M.S. and Ph.D. degrees in Control Engineering at Northeast University, China, in 1989 and 1991, respectively. From 1991 to 1996, he was a lecturer in Department of Automatic Control at Nanjing University of Aeronautics & Astronautics, China. He held a research position and then a lectureship in control engineering in Center for Systems and Control at University of Glasgow, UK, from 1997 to 2000. He holds a senior lectureship in flight control systems in Department of Aeronautical and Automotive Engineering at Loughborough University, UK. He has published one book and more than 100 papers on journals and conferences. His research interests include the development of advanced control strategies and their applications in aerospace engineering.

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Chen, M., Chen, WH. Disturbance-observer-based robust control for time delay uncertain systems. Int. J. Control Autom. Syst. 8, 445–453 (2010). https://doi.org/10.1007/s12555-010-0233-5

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  • DOI: https://doi.org/10.1007/s12555-010-0233-5

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