Abstract
The extension of V.K. Popov's hyperstability theory is presented in chis paper. It has been proved that a system is asymptotically stable by the definition of hyperstability if all the poles and zeros of the linear part of a system are in the left half complex plane. If in this case the transfer function of the system is not positive real, then a Eurwitz differential operator of proper degree can be introduced to reform the characteristic of nonlinear part of the system. A design of model reference adaptive control system is suggested by using the theorem obtained in this paper. Both “integration” and “proportion plus integration” parameter adaptation rules are used.
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