A worst-case approach to optimal tracking control with robust performance

A mixed H 2 /H ∞ control problem is formulated and solved for tracking control systems. The control problem, which combines H 2 and H ∞ performance criteria, can be applied to the design of compensators which achieve robust tracking performance in the presence of plant uncertainties. The optimal mix...

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Bibliographic Details
Published in:International journal of control 1996-09, Vol.65 (1), p.17-32
Main Authors: TOIVONEN, H. T., PENSAR, J.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Optimal control
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Summary:A mixed H 2 /H ∞ control problem is formulated and solved for tracking control systems. The control problem, which combines H 2 and H ∞ performance criteria, can be applied to the design of compensators which achieve robust tracking performance in the presence of plant uncertainties. The optimal mixed H 2 /H ∞ tracking controller has a separation property similar to those of linear quadratic and H ∞ tracking controllers, and its solution consists of an H ∞ -optimal state feedback tracking control problem and an associated mixed H 2 /H ∞ -optimal estimation problem.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179608921684