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Multiobjective H_2/H_∞-optimal control via finite dimensional Q-parametrization and linear matrix inequalities

Hindi, Haitham A. and Hassibi, Babak and Boyd, Stephen P. (1998) Multiobjective H_2/H_∞-optimal control via finite dimensional Q-parametrization and linear matrix inequalities. In: Proceedings of the 1998 American Control Conference. Vol.5. IEEE , Piscataway, NJ, pp. 3244-3249. ISBN 0-7803-4530-4. https://resolver.caltech.edu/CaltechAUTHORS:20150217-073735707

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Abstract

The problem of multiobjective H_2/H_∞ optimal controller design is reviewed. There is as yet no exact solution to this problem. We present a method based on that proposed by Scherer (1995). The problem is formulated as a convex semidefinite program (SDP) using the LMI formulation of the H_2 and H_∞ norms. Suboptimal solutions are computed using finite dimensional Q-parametrization. The objective value of the suboptimal Q's converges to the true optimum as the dimension of and is increased. State space representations are presented which are the analog of those given by Khargonekar and Rotea (1991) for the H_2 case. A simple example computed using finite impulse response Qs is presented.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ACC.1998.688463DOIArticle
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=688463PublisherArticle
Additional Information:© 1998 IEEE. This work was supported by DOE contract # DE-AC03-76SF00515 and by DARPA through the Department of Air Force under contract F49620-95-1-0525-P00001.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC03-76SF00515
Air Force Office of Scientific Research (AFOSR)F49620-95-1-0525-P00001
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Record Number:CaltechAUTHORS:20150217-073735707
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20150217-073735707
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54848
Collection:CaltechAUTHORS
Deposited By: Shirley Slattery
Deposited On:24 Feb 2015 00:54
Last Modified:03 Oct 2019 08:01

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