Iterative solutions which involve iterative optimization technique are given to improve the adaptation transients in adaptative systems. Two suboptimal controllers are developed and applied to an equivalent discrete-time system valid to describe the behaviour of a recent adaptative controll scheme when one of the time-varying parameters entering the adaptation algorithm varies within a close domain being admissible for convergence. The resulting suboptimal control strategies are translated into corrections of this parameter so as to recompute the adaptation algorithm over a finite horizon. Numerical simulations illustrate the efficiency of the proposed scheme.
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