Stability of self-tuning control based on Lyapunov function

摘要

The overall stability of a self-tuning controller for discrete-time systems is proved by using the Lyapunov function in this paper, for minimum and a class of non-minimum phase systems. The self-tuning controller utilizes a recursive estimate algorithm for the controller parameters based on the generalized minimum variance criterion. Previously, the stability had been proved in the case of minimum phase systems. A new type of self-tuning controller for the discrete-time system with delay in control input is also studied which is named the generalized minimum variance criterion-β equivalent control, and its stability is proved. The simulation is done to evaluate the performance of the proposed self-tuning controller.