ℒ1 Analysis and Design of Sampled-Data Systems

Geir E. Dullerud; Bruce Allen Francis

doi:10.1109/9.126577

ℒ₁ Analysis and Design of Sampled-Data Systems

Geir E. Dullerud
, Bruce Allen Francis

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

The focus of this paper is ľ1-optimal control of sampled-data systems. A converging approximation procedure is derived to compute the ľ1 induced norm of closed-loop finite-dimensional linear time-invariant (LTI) sampled-data systems. An approximation method is developed to synthesize ľ1-optimal sampled-data regulators. Finally, an example is provided that illustrates the ľ1 analysis and design techniques presented.

Original language	English (US)
Pages (from-to)	436-446
Number of pages	11
Journal	IEEE Transactions on Automatic Control
Volume	37
Issue number	4
DOIs	https://doi.org/10.1109/9.126577
State	Published - Apr 1992
Externally published	Yes

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10.1109/9.126577

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title = "ℒ1 Analysis and Design of Sampled-Data Systems",

abstract = "The focus of this paper is {\v I}1-optimal control of sampled-data systems. A converging approximation procedure is derived to compute the {\v I}1 induced norm of closed-loop finite-dimensional linear time-invariant (LTI) sampled-data systems. An approximation method is developed to synthesize {\v I}1-optimal sampled-data regulators. Finally, an example is provided that illustrates the {\v I}1 analysis and design techniques presented.",

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AB - The focus of this paper is ľ1-optimal control of sampled-data systems. A converging approximation procedure is derived to compute the ľ1 induced norm of closed-loop finite-dimensional linear time-invariant (LTI) sampled-data systems. An approximation method is developed to synthesize ľ1-optimal sampled-data regulators. Finally, an example is provided that illustrates the ľ1 analysis and design techniques presented.

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JO - IEEE Transactions on Automatic Control

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ℒ₁ Analysis and Design of Sampled-Data Systems

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