Semi-Global L2 Gain Analysis of Linear Systems with Self-Scheduling Parameters

In this paper, we consider semi-global L2 gain analysis for nonlinear systems described as linear systems with self-scheduling parameters. First we show a method to convert linear systems with self-scheduling parameters into linear systems with scheduling parameters based on evaluation of the domain...

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Bibliographic Details
Published inTransactions of the Institute of Systems, Control and Information Engineers Vol. 12; no. 11; pp. 639 - 646
Main Authors AZUMA, Takehito, WATANABE, Ryo, UCHIDA, Kenko
Format Journal Article
LanguageJapanese
Published THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE) 15.11.1999
Subjects
gain scheduling
hidden loop problem
nonlinear system
semi-global L2 gain
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Summary:In this paper, we consider semi-global L2 gain analysis for nonlinear systems described as linear systems with self-scheduling parameters. First we show a method to convert linear systems with self-scheduling parameters into linear systems with scheduling parameters based on evaluation of the domain of the self-scheduling parameters. Second, using the tools for linear systems with scheduling parameters, we discuss semi-global L2 gain analysis for the nonlinear systems and propose an approach together with feasible formulas of computation, which provides a solution to the so-called hidden loop problem in gain scheduling. Finally, we show numerical examples.
ISSN:1342-5668
2185-811X
DOI:10.5687/iscie.12.639