Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 59, Issue -, Pages 306-318Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2017.11.029
Keywords
Absolute stability; Positive realness; Lure problem; Complex scaling
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Funding
- National Natural Science Foundation of China [61573001]
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The paper presents a novel frequency-domain interpretation of Popov criteria for absolute stability in Lure systems by means of what we call complex scaling stability analysis. The complex scaling technique is developed for exponential/asymptotic stability in LTI feedback systems, which dispenses open-loop poles distribution, contour/locus orientation and prior frequency sweeping. Exploiting the technique for alternatively revealing positive realness of transfer functions, re-interpreting Popov criteria is explicated. More specifically, the suggested frequency-domain stability conditions are conformable both in scalar and multivariable cases, and can be implemented either graphically with locus plotting or numerically without; in particular, the latter is suitable as a design tool with auxiliary parameter freedom. The interpretation also reveals further frequency-domain facts about Lure systems. Numerical examples are included to illustrate the main results. (C) 2017 Elsevier B.V. All rights reserved.
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