On multiple limit cycles in sliding-mode control systems via a generalized describing function approach

DOI10.1007/S11071-015-2197-8zbMath1348.93128OpenAlexW878212818MaRDI QIDQ327533

Yuan-ying Qiu, Yu Shen

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2197-8

zbMATH Keywords

limit cyclesliding-mode controlchattering parameterfrequency-dependent nonlinearitygeneralized DF approach

Mathematics Subject Classification ID

Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Cites Work

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• Singularly perturbed analysis of chattering in relay control systems
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• Analysis of Second-Order Sliding-Mode Algorithms in the Frequency Domain
• An eigenvalue method for calculation of stability and limit cycles in nonlinear systems

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