Stability of a multi-input, multi-output adaptive iterative learning control system

Author

Owens, David H. ; Munde, Gurubachan S.

Author_Institution

Centre for Syst. & Control Eng., Univ. of Exeter, Exeter, UK

fYear

1997

fDate

1-7 July 1997

Firstpage

519

Lastpage

524

Abstract

This paper provides convergence/stability criteria for universal adaptive high-gain iterative learning control systems based on the use of the current trial feedback for a class of linear, multi-input multi-output (MIMO) state space systems. Weak and strong (norm) convergence of the tracking error sequence {e_k}_k≥0 to zero in L^m₂(0, T) is analysed. This perfect tracking is also achieved with the proposed gain-update laws, with convergence of the adaptive control K_k to a limit gain K_∞ guaranteed.

Keywords

MIMO systems; adaptive control; convergence; feedback; iterative learning control; linear systems; stability; state-space methods; MIMO state space system; convergence/stability criteria; gain-update laws; linear system; multiinput multioutput adaptive iterative learning control system; stability; strong convergence; tracking error sequence; trial feedback; universal adaptive high-gain iterative learning control systems; weak convergence; Adaptive systems; Algorithm design and analysis; Convergence; Heuristic algorithms; MIMO; Polynomials; Stability analysis; high gain adaptive stabilisation; iterative learning control; learning control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082147