| Adaptive Lambda-Tracking for a Class of Infinite-Dimensional Systems (2007) | |||||||||||||||
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| : For a class of high-gain stabilizable multivariable linear infinite-dimensional systems we present an adaptive control law which achieves approximate asymptotic tracking in the sense that the tracking error tends asymptotically to a ball centred at 0 and of arbitrary prescribed radius ? 0. This control strategy, called -tracking, combines proportional error feedback with a simple nonlinear adaptation of the feedback gain. It does not involve any parameter estimation algorithms, nor is it based on the internal model principle. The class of reference signals is W 1;1 , the Sobolev space of absolutely continuous functions which are bounded and have essentially bounded derivative. The control strategy is robust with respect to output measurement noise in W 1;1 and bounded input disturbances. We apply our results to retarded systems and integrodifferential systems. Keywords: Adaptive control; tracking; high-gain control; infinite-dimensional systems; functional differential equations... | |||||||||||||||
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