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Published September 1, 1995 | public
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ℋ∞ optimization with spatial constraints

Abstract

A generalized ℋ∞ synthesis problem where non-euclidian spatial norms on the disturbances and output error are used is posed and solved. The solution takes the form of a linear matrix inequality. Some problems which fall into this class are presented. In particular, solutions are presented to two problems: a variant of ℋ∞ synthesis where norm constraints on each component of the disturbance can be imposed, and synthesis for a certain class of robust performance problems.

Additional Information

The author would like to thank Geir Dullerud for pointing out the possible connections between spatially constraining the disturbances and robust control synthesis. The author would also like to thank John Doyle and Fernando Paganini for helpful suggestions and comments. This research was funded by NSERC and AFOSR.

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Additional details

Created:
August 20, 2023
Modified:
October 24, 2023