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State derivative-free variable structure model reference adaptive control of linear parabolic systems
Authors:Chaohua Jia  Zhi-Chao Shao
Institution:1. School of Mathematics and Systems Science, Beihang University, Beijing, 100191, China
2. Department of Applied Mathematics, School of Statistics, University of International Business and Economics, Beijing, 100029, China
Abstract: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.
Keywords:Distributed parameter systems  model reference adaptive control  parabolicsystems  
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