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A new nonlinear output tracking controller via output-feedback

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Abstract

In this paper, the output tracking control is investigated for a class of nonlinear systems when only output is available for feedback. Based on the multivariable analog of circle criterion, an observer is first introduced. Then, the observer-based output tracking controller is constructively designed by using the integral backstepping approach together with completing square. It is shown that, under relatively mild conditions, all the closed-loop signals are uniformly bounded. Meanwhile the system output asymptotically tracks the desired output. A simulation example is given to illustrate the effectiveness of the theoretical results.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, Shandong, 250061, China

    Yun Zhang, Yungang Liu & Yuqin Ding

Authors
  1. Yun Zhang
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  2. Yungang Liu
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  3. Yuqin Ding
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Additional information

This work was supported by the National Natural Science Foundation of China(No.60304002), and the Science and Technical Development Plan of Shandong Province(No.2004GG4204014).

Yun ZHANG received her B.E. and M.E. degrees in 2003 and 2006, respectively, both from Shandong University. Her main research interests include observer design and nonlinear systems.

Yungang LIU received the Ph. D. degree in Control Theory and Applications in 2000 from Shanghai Jiaotong University. From April 2001 to May 2003, he was a postdoctoral researcher at the Academy of Mathematics and Systems Science, CAS. From Oct. 2004 to Apr. 2005, he was a research fellow at the National University of Singapore. He is currently a professor in School of Control Science and Engineering, Shangdong University. His recent research includes nonlinear control design and optimization of deterministic and stochastic systems, nonlinear observer design and nonlinear stochastic filtering.

Yuqin DING received her B.E. degree in 2004, from Qingdao University of Science and Technology. She is currently an M.E. candidate in Control Theory and Applications at Shandong University. Her main research interests include observer design and output-feedback control etc.

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Zhang, Y., Liu, Y. & Ding, Y. A new nonlinear output tracking controller via output-feedback. J. Control Theory Appl. 4, 372–378 (2006). https://doi.org/10.1007/s11768-006-5195-z

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  • DOI: https://doi.org/10.1007/s11768-006-5195-z

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