A method for the design of adaptive model following control systems has been developed using a hyperstability approach. The derivation of the adaptation algorithms is presented. The implementation of the algorithm is realized by a combination of linear filters with some positivity properties and of the multipliers which processes the model-plant error. The application of this method to the design of flight control and simulation systems is discussed. The feasibility and advantages of the procedure are illustrated by applying it to an aircraft longitudinal control problem.
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Landau et al. (1972) studied this question.
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