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Robust control design of a class of nonlinear systems in polynomial lower-triangular form

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Abstract

This paper investigates the problem of global robust stabilization for a wide class of nonlinear systems, called polynomial lower-triangular form (pLTF), which expands LTF to a more general case. The aim is explicitly constructing the smooth controller for the class of systems with static uncertainties, by adding and modifying a power integrator in a recursive manner. The pLTF relaxes the restrictions on the structure of the normal LTF and enlarges the family of systems that are stabilizable. Examples are also provided to show the practical usage of this class of systems and the effectiveness of the design method.

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Authors and Affiliations

  1. College of Electrical Engineering, Hohai University, Nanjing, Jiangsu, 210098, China

    Bing Wang

  2. Department of Automation, University of Science & Technology of China, Hefei, Anhui, 230027, China

    Haibo Ji & Jin Zhu

Authors
  1. Bing Wang
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  2. Haibo Ji
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  3. Jin Zhu
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Corresponding author

Correspondence to Bing Wang.

Additional information

Recommended by Editorial Board member Hyungbo Shim under the direction of Editor Jae Weon Choi.

Bing Wang received the B.S. degree from the Huazhong University of Science and Technology, and the Ph.D. degree from the University of Science and Technology of China, in 1998 and 2006, respectively. He is currently working in College of Electrical Engineering, Hohai University. His research interests include robust control, nonlinear control and power systems.

Haibo Ji received the B.S. and Ph.D. degrees in Mechanical Engineering from ZheJiang University and Beijing University in 1984 and 1990 respectively. He is currently a Professor in the Dept. of Automation, USTC. His research interests include nonlinear control and adaptive control.

Jin Zhu received the B.S. and Ph.D. degrees in Control Science and Engineering from University of Science & Technology of Chinain 2001 and 2006 respectively. He is currently a Post-doc in Han-Yang University, Korea. His research interests include Markovian jump systems and nonlinear control.

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Wang, B., Ji, H. & Zhu, J. Robust control design of a class of nonlinear systems in polynomial lower-triangular form. Int. J. Control Autom. Syst. 7, 41–48 (2009). https://doi.org/10.1007/s12555-009-0106-y

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  • DOI: https://doi.org/10.1007/s12555-009-0106-y

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