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H-Infinity Control

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Encyclopedia of Systems and Control
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Abstract

The area of robust control, where the performance of a feedback system is designed to be robust to uncertainty in the plant being controlled, has received much attention since the 1980s. System analysis and controller synthesis based on the H-infinity norm has been central to progress in this area. This article outlines how the control law that minimizes the H-infinity norm of the closed-loop system can be derived. Connections to other problems, such as game theory and risk-sensitive control, are discussed and finally appropriate problem formulations to produce “good” controllers using this methodology are outlined.

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Correspondence to Keith Glover .

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© 2013 Springer-Verlag London

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Glover, K. (2013). H-Infinity Control. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_166-1

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  • DOI: https://doi.org/10.1007/978-1-4471-5102-9_166-1

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  • Online ISBN: 978-1-4471-5102-9

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