- In this paper, a new design method of adaptive PID controller is proposed. The method utilizes the so- called almost strict positive realness (ASPR) of the plant so that the stability of the adaptive PID control system is guaranteed by use of K-Y lemma and Lyapunov’s stability theorem. An application of the proposed basic design concept to a practical design of adaptive tracking PID control system is also discussed. The result is applied to the design of PID control system of the first order with time delay system. The effectiveness of the proposed method is examined through simulations and experiments
Zenta Iwai, Ikuro Mizumoto, Lin Liu, S. L. Shah, H