Journal of Systems Science and Complexity

, Volume 26, Issue 6, pp 957–967 | Cite as

State derivative-free variable structure model reference adaptive control of linear parabolic systems

  • Chaohua JiaEmail author
  • Zhi-Chao Shao


The problem of constructing a model reference adaptive control law for an uncertain 1-dimensional parabolic system is considered in this article. The controller designed here involves only the plant state but no its derivatives. A priori bounds on the plant’s uncertain parameters are used to propose switching laws which serve as an adaptive mechanism. The exponential decay to zero of the state error with any prescribed rate is guaranteed by choosing a controller parameter correspondingly. Numerical studies are also presented to illustrate the applicability of the control law.

Key words

Distributed parameter systems model reference adaptive control parabolic systems 


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Copyright information

© Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Mathematics and Systems ScienceBeihang UniversityBeijingChina
  2. 2.Department of Applied Mathematics, School of StatisticsUniversity of International Business and EconomicsBeijingChina

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