Sensitivity methods and slow adaptation

In many existing model reference adaptive control (MRAC) schemes, the plant order and relative degree are assumed known. Then a full-order control parameterization is specified which allows for an exact transfer function match between the closed-loop plant and a reference model. Often for plants of modest complexity, this leads to a large number of adjustable parameters. Apart from the computational burden, an excessive parameterization imposes, a common assumption used to prove global stability requires the regressor to be Persistently Exciting (PE). This PE requirement has been tied to the spectral content of the system input, and is directly proportional to the number of parameters adjusted. Often this imposes unrealizable requirements upon the system input. This problem is especially pronounced for regulation problems where the reference and system input are zero.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Rhode, Douglas Scott

Contributors dc:contributor

• Kokotovic, P.V.

• Engineering, System Science

Statement dc:rights

• Copyright 1990 Rhode, Douglas Scott

Language dc:language

eng

Identifier

AAI9026301
(UMI)AAI9026301

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22885