Abstract
Abstract In model reference adaptive control systems, because the plant is assumed to be unknown, it is a difficult task to choose a suitable reference model such that the perfect model matching condition (i.e., the plant zeros in |z|≥1 must be the zeros of the reference model) is assured in every adaptive step. In the present paper, an adaptive controller, achieved by minimizing the H 2‐norm of the error transfer function between the closed‐loop system and the reference model using the technique of calculus of variations, is developed. It guarantees the stability of a closed‐loop system regardless of whether or not the controlled plant is unstable or nonminimum phase.
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