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 | |||||||||
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| 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. | |||||||||
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| 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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