Output feedback H∞ loop-shaping controller synthesis

Emmanuel Prempain; Ian Postlethwaite

doi:10.1007/978-1-84800-025-4_6

Output feedback H∞ loop-shaping controller synthesis

Emmanuel Prempain, Ian Postlethwaite

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Abstract

This chapter introduces a Linear Matrix Inequality formulation of H∞ output feedback controller synthesis. Within this framework, the design procedure of McFarlane and Glover is detailed. Existence conditions for full-order and static output loop-shaping controllers are given in terms of matrix inequalities. The approach is extended to the class of polytopic systems. The effectiveness of the various controller synthesis algorithms is demonstrated on two aerospace control design examples.

Original language	English
Title of host publication	Mathematical Methods for Robust and Nonlinear Control
Place of Publication	London
Publisher	Springer
Pages	175-194
Number of pages	444
Volume	367
ISBN (Print)	978-1848000247
DOIs	https://doi.org/10.1007/978-1-84800-025-4_6
Publication status	Published - 2007

Publication series

Name	Lecture Notes in Control and Information Sciences
Publisher	Springer
ISSN (Electronic)	0170-8643

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10.1007/978-1-84800-025-4_6

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abstract = "This chapter introduces a Linear Matrix Inequality formulation of H∞ output feedback controller synthesis. Within this framework, the design procedure of McFarlane and Glover is detailed. Existence conditions for full-order and static output loop-shaping controllers are given in terms of matrix inequalities. The approach is extended to the class of polytopic systems. The effectiveness of the various controller synthesis algorithms is demonstrated on two aerospace control design examples.",

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AB - This chapter introduces a Linear Matrix Inequality formulation of H∞ output feedback controller synthesis. Within this framework, the design procedure of McFarlane and Glover is detailed. Existence conditions for full-order and static output loop-shaping controllers are given in terms of matrix inequalities. The approach is extended to the class of polytopic systems. The effectiveness of the various controller synthesis algorithms is demonstrated on two aerospace control design examples.

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M3 - Chapter

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Output feedback H∞ loop-shaping controller synthesis

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