Self-Tuning Control Based on Generalized Minimum Variance Criterion.
The stability of adaptive control systems has been studied
extensively for minimum phase systems, mainly for model reference
adaptive systems, but complete stability proof for non-minimum
phase systems have not been given. In this paper, the stability of
two types of self-tuning controllers for discrete time minimum and
non-minimum phase plants is studied, namely: recursive
estimation of the implicit self-tuning controller parameters based on generalized minimum variance criterion (REGMVC), and another based on generalized minimum variance
criterion - beta equivalent control approach (REGMVC-Beta). Stability of the algorithms are proved by the Lyapunov theory.