State derivative-free variable structure model reference adaptive control of linear parabolic systems
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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 wordsDistributed parameter systems model reference adaptive control parabolic systems
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- Demetriou M A and Rosen I G, Variable structure model reference adaptive control of parabolic distributed parameter systems, Proc. the American Control Conf., May 2002, 4371–4376.Google Scholar