ON PERFORMANCE LOSSES IN SOME ADAPTIVE CONTROL SYSTEMS; I.
CALIFORNIA UNIV LOS ANGELES
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Concepts related to loss of performance in certain adaptive control systems are introduced. These concepts are useful in determining or in bounding possible loss in the adaptive control systems where certain parameters are not known precisely. The relation with the minimax principle in the statistical decision theory is also pointed out. Loss of performance and percentage loss of performance are approxi mately calculated for the sample problems in terms of moments of distribution functions which specify probability distribution of unknown parameter B. It is shown that for certain system parameter combinations, the estimate should be changed with time even though no additional information on the unknown parameter is gathered. Author