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Optimal control with mixed H_2 and H∞ performance objectives

Doyle, John and Zhou, Kemin and Bodenheimer, Bobby (1989) Optimal control with mixed H_2 and H∞ performance objectives. In: 1989 American Control Conference. IEEE , Piscataway, NJ, pp. 2065-2070. http://resolver.caltech.edu/CaltechAUTHORS:20190313-095844804

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Abstract

This paper considers the analysis and synthesis of control systems subject to two types of disturbance signals: signals with bounded power spectral density and signals with bounded power. The resulting control problem involves minimizing a mixed H_2 and H∞ norm of the system. It is shown that the controller shares a separation property similar to those of pare H_2 or H∞. controller. It is also shown that the mixed problem reduces naturally to H_2 and H∞ problem in special cases. Some necessary and sufficient conditions are obtained for the existence of a solution to the mixed problem. Explicit state space formulae are given for the optimal controllers.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.23919/ACC.1989.4790529DOIArticle
ORCID:
AuthorORCID
Doyle, John0000-0002-1828-2486
Additional Information:© 1989 IEEE.
Record Number:CaltechAUTHORS:20190313-095844804
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20190313-095844804
Official Citation:J. Doyle, K. Zhou and B. Bodenheimer, "Optimal control with mixed H2 and H∞ performance objectives," 1989 American Control Conference, Pittsburgh, PA, USA, 1989, pp. 2065-2070. doi: 10.23919/ACC.1989.4790529
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93766
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Mar 2019 17:04
Last Modified:13 Mar 2019 17:04

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