A performance analysis of two approximate adaptive designs

Author

French, Mark

Author_Institution

Sch. of Electron. & Comput. Sci., Univ. of Southampton, UK

Volume

16

Issue

3

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

617

Lastpage

624

Abstract

The performance of function approximator based adaptive control designs may scale badly with approximator dimension. For a simple system class, both projection based designs and multiresolution approximation based designs have been shown to have good scaling properties with respect to to linear quadratic (LQ) costs. Here we show that by considering a cost functional with penalties on the control rate, the multiresolution approximatior based design can outperform the projection based design. Generalizations are briefly discussed.

Keywords

adaptive control; control system synthesis; function approximation; linear quadratic control; adaptive control design; function approximation; linear quadratic cost; multiresolution approximation; performance analysis; Adaptive control; Approximation error; Control design; Cost function; Function approximation; Performance analysis; Polynomials; Robust stability; Signal resolution; Uncertainty; Adaptive control; function approximation; multiresolution approximation; Algorithms; Computer Simulation; Feedback; Linear Models; Neural Networks (Computer); Numerical Analysis, Computer-Assisted; Signal Processing, Computer-Assisted; Stochastic Processes;

fLanguage

English

Journal_Title

Neural Networks, IEEE Transactions on

Publisher

ieee

ISSN

1045-9227

Type

jour

DOI

10.1109/TNN.2005.844861

Filename

1427766