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SCIENCE CHINA Information Sciences, Volume 59, Issue 5: 052202(2016) https://doi.org/10.1007/s11432-015-5310-1

Characteristic model based adaptive controller design and analysis for a class of SISO systems

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  • ReceivedJun 17, 2015
  • AcceptedAug 21, 2015
  • PublishedApr 12, 2016

Abstract

The design of an adaptive controller and stability analysis of the corresponding closed loop system are discussed for a class of SISO systems based on the characteristic model method. The obtained characteristic model is a second-order slow time-varying linear system with a compress mapping function for the system modeling error. The pole placement method is used to design the controller, and sufficient conditions for the stability of the closed loop system are obtained based on the robust control theory of slow time-varying systems with perturbations. The effectiveness of the proposed method is illustrated by two numerical examples.


Acknowledgment

Acknowledgments

This work was supported in part by national Natural Science Foundation of China(Grant Nos. 61422307, 61333008, 61273153, 61304048, 61174061), national High-tech R&D Program of China (863 Program) (Grant No. 2014AA06A503), national Youth Top Talent Support Program of National High-level Personnel of Special Support Program (the ``Thousands-of-Talents Scheme"), scientific Research Staring Foundation for the Returned Overseas Chinese Scholars, and Ministry of Education of China. authors also gratefully acknowledge supports from the Youth Innovation Promotion Association, Chinese Academy of Sciences.


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