Finite-dimensional direct adaptive control for discrete-time infinite dimensional linear systems
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abstract
Adaptive model tracking of a finite-dimensional model by an infinite-dimensional, linear, discrete-time system is shown to be possible here. Relationships between the Kalman-Yacubovic equations for discrete-time and strictly positive real transfer functions are proved and a Lyapunov stability analysis is carried out to show that convergent output tracking occurs.<>
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Proceedings of 1994 33rd IEEE Conference on Decision and Control