New algebraic criteria for absolute stability of nonlinear systems

Feng‐Hsiag ‐H Hsiao; Jer‐Guang ‐G Hsieh; Jaion‐Shea ‐S Chang

doi:10.1002/rnc.4590050605

New algebraic criteria for absolute stability of nonlinear systems

Feng‐Hsiag ‐H Hsiao^*, Jer‐Guang ‐G Hsieh, Jaion‐Shea ‐S Chang

^*Corresponding author for this work

Department of Electrical Engineering

National Sun Yat-sen University

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

2 Scopus citations

Abstract

In this paper, new and simple algebraic criteria are derived via elementary proofs to provide easy sufficient conditions for the standard absolute stability problems of nonlinear systems, i.e. Lur'e problems. These criteria are equivalent to the famous graphical circle criteria and Popov criterion. By means of the Sturm theorem and the Euclidean division algorithm, a Routh‐Hurwitz‐like Sturm criterion is obtained. No graphical technique is needed. Only basic numerical manipulations are involved in the new criteria.

Original language	English
Pages (from-to)	591-607
Number of pages	17
Journal	International Journal of Robust and Nonlinear Control
Volume	5
Issue number	6
DOIs	https://doi.org/10.1002/rnc.4590050605
State	Published - 1995

Keywords

Absolute stability
Algebraic criteria
Sturm theorem

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10.1002/rnc.4590050605

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AB - In this paper, new and simple algebraic criteria are derived via elementary proofs to provide easy sufficient conditions for the standard absolute stability problems of nonlinear systems, i.e. Lur'e problems. These criteria are equivalent to the famous graphical circle criteria and Popov criterion. By means of the Sturm theorem and the Euclidean division algorithm, a Routh‐Hurwitz‐like Sturm criterion is obtained. No graphical technique is needed. Only basic numerical manipulations are involved in the new criteria.

KW - Absolute stability

KW - Algebraic criteria

KW - Sturm theorem

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IS - 6

ER -

New algebraic criteria for absolute stability of nonlinear systems

Abstract

Keywords

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