Abstract
AbstractIn most of the existing design methods of discrete‐time adaptive control systems, the conditions are required on the unknown plant, which is the object of control, that the order and the dead‐time are known or the zeros of the plant are stable, which seem to be rather impractical requirements. This paper discusses a design method of the adaptive control system which does not require such conditions on the unknown plant but the upper bound of the order of the plant. the proposed design method is for the adaptive pole placement systems based on the indirect method in the pole placement systems. the adaptive processing in regard to the unknown order becomes especially important. an effective recursive procedure for this problem is presented, taking the finite word‐length of the controller into consideration. With this processing function, the proposed method exhibits a high robustness against variations in order, dead‐time and zeros, which may be caused by the variations of the plant parameters. A numerical example is shown for the case when the proposed method is applied to the plant with unknown order and dead‐time and with unstable zeros and poles.
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