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- W2189214901 abstract "In the past few years many model reference adaptive control algorithms have been shown to be globally asymptotically stable. However, there have been no analytical results on the performance of such systems in the transient adaptive phase. Simulations have shown that there are three particular problem areas in which the performance of these algorithms may be unsatisfactory when viewed prescribed mode. Moreover, such closed loop adaptive algorithms result in non-linear (time-varying) systems whose transient characteristics can have very complex and undesirable behavior.191 This paper provides the first definitive attempt and results towards establishing analytically the performance of these algorithms viewed from a practical control design point of view. from a practical context. The problems are (a) the generation of high frequency control inputs, (b) high susceptibility to instability in the presence of unmodeled dynamics, and (c) poor performance in the presence of observation noise. This paper displays analytically how these problems A simulation study of the algorithm of Ill, originally reported in 191 and reviewed in Section 2 of this paper, pointed to three undesirable characteristics from which such algorithms may suffer. These problems are: arise for a number of algorithms. The technique employs linearization of the nonlinear time varying dynamic equations that descri.be the closed-loop system; this technique is referred to as approach analysis because the linearization is valid when the system and reference model outputs are close to each other, a fact that occurs during the final phases of adaptation. By studying simple first order systems one can analytically examine different adaptive algorithms, and pinpoint their shortcomings. However, the analytical studies are constructive because they indicate now to modify the algorithms so as to improve their practical utility." @default.
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- W2189214901 date "1981-01-01" @default.
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- W2189214901 title "REFERENCE ADAPTIVE CONTROL ALGORITHMS" @default.
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