Suboptimality of a Decentralized Feedback Control Law-Reference-Cited by-同舟云学术

Suboptimality of a Decentralized Feedback Control Law

Published:1999-06-01 Issue:2 Volume:121 Page:305-308
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Boukas El Kebi´r¹,Swierniak A.²,Yang H.³

Affiliation:

1. Mechanical Engineering Department, E´cole Polytechnique de Montre´al, P.O. Box 6079, station “Centreville,” Montre´al, Que., Canada, H3C 3A7

2. Department of Automatic Control, Silesian Technical University, 44-101 Gliwice, Poland

3. Department of Statistics, The University of Hong Kong, Hong Kong

Abstract

In this note, a new estimating method for the upper bound of the cost of the uncertain linear system used by Trinh and Aldeen (1993) is proposed. We have also estimated the absolute cost loss and relative cost loss of this kind of optimization problem. To show the usefulness of our results a numerical example has been developed.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/121/2/305/5516022/305_1.pdf

Reference9 articles.

1. Bellman, R., 1970, Introduction to Matrix Analysis, Second Edition, McGrawHill, New York.

2. Ikeda M. , and SiljakD. D., 1990, “Optimality and Robustness of Linear Quadratic Control for Nonlinear Systems,” Automatica, Vol. 26, No. 3, pp. 499–511.

3. Ikeda M. , and SiljakD. D., 1992, “Robust Stabilization of Nonlinear Systems via Linear State Feedback,” Control and Dynamic Systems, Vol. 51, pp. 1–30, 1992.

4. Lunze, J., 1988, Robust Multivariable Control, Prentice Hall International, New York.

5. Swierniak A. , 1982, “State-inequalities Approach to Control Systems with Uncertainty,” IEE Proc. D, Control Theory and Appl., Vol. 129, No. 6, pp. 271–275.