This paper presents control laws for distributed parameter systems of parabolic and hyperbolic types which, on the one hand ensure robustness with respect to small dynamic uncertainties and disturbances, and on the other hand, permit on-line plant parameter estimation. The novelty of the algorithms proposed is (a) in the construction of a sliding mode-based state derivative observer and (b) in the inclusion of this observer into a model reference adaptive controller which thereby regularizes the ill-posed identification problem itself. Apart from this, the controllers constructed do not suffer from on-line computation of spatial derivatives of the measurement data, and hence they are of reduced sensitivity with respect to the measurement noise. [S0022-0434(00)02104-3]

Issue Section:
Technical Papers
Keywords:
distributed parameter systems, model reference adaptive control systems, variable structure systems, control system synthesis, observers, parameter estimation, robust control, Distributed Parameter System, Adaptive Control, Reference Model, Sliding Mode Observer
Topics:
Adaptive control, Algorithms, Computation, Design, Distributed parameter systems, Theorems (Mathematics), Signals, Control equipment, Noise (Sound), Parameter estimation, Heat, Construction
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Copyright © 2000
 by ASME
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