ON THE TRANSIENT-BEHAVIOR IN DISCRETE-TIME MODEL-REFERENCE ADAPTIVE-CONTROL - ANALYSIS AND POSSIBLE IMPROVEMENT
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This paper shows that a result recently obtained for arbitrarily improving the zero-state transient performance of a continuous-time model reference adaptive control scheme, does not have a counterpart in discrete-time. Using standard l1 optimal control theory, it is shown that unlike the continuous-time case, it is not possible to modify the control law to obtain arbitrarily small l gain for the closed-loop transfer function from the parameter mismatch to the tracking error. Nevertheless, the control law may be modified to minimize this gain, perhaps resulting in improved error transients. 1994.