Self-tuning control of time-varying systems based on generalized minimum variance criterion

Author

Patete, Anna ; Furuta, Katsuhisa ; Tomizuka, Masayoshi

Author_Institution

Tokyo Denki Univ., Saitama

fYear

2007

fDate

17-20 Sept. 2007

Firstpage

2563

Lastpage

2568

Abstract

Important issues on self-tuning control include stability, performance and convergence of the recursive algorithm involved. Based on a Lyapunov function, this paper proves the stability of a self-tuning control combining recursive controller parameters estimation considering a forgetting factor and a generalized minimum variance criterion for time- varying systems. The main result is the theorem which assures the overall stability for the closed-loop system. The system parameters are considered to be changing continuously but slowly or change abruptly but infrequently.

Keywords

Lyapunov methods; adaptive control; closed loop systems; recursive estimation; self-adjusting systems; stability; time-varying systems; Lyapunov function; closed-loop system; generalized minimum variance criterion; recursive algorithm; self-tuning control; stability; time-varying systems; Control systems; Mechanical engineering; Parameter estimation; Recursive estimation; Resonance light scattering; Sliding mode control; Stability criteria; Systems engineering and theory; Time varying systems; Variable structure systems; Self-tuning control; discrete time systems; generalized minimum variance; sliding-mode control; timevarying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE, 2007 Annual Conference

Conference_Location

Takamatsu

Print_ISBN

978-4-907764-27-2

Electronic_ISBN

978-4-907764-27-2

Type

conf

DOI

10.1109/SICE.2007.4421422

Filename

4421422