Stability and robustness of variable structure control system

Jun Zhou, Yanjun Li

Research output: Contribution to journalArticlepeer-review

Abstract

By using eigenvalue perturbation theory, the stability and robustness of linear variable structure control (VSC) system were studied. The stability and robustness measures of closed-loop VSC system with mismatch parameters and input uncertainties were proposed. The stability margin means the maximum parameter perturbation range allowed by the closed-loop system to ensure stability, while robustness measures represent maximum variation range of the closed-loop VSC eigenvalues caused by unit norm of mismatch uncertainties. The relation between the stability and robustness and sliding mode design were analyzed. A sufficient condition of asymptotic stability for the closed-loop VSC system was provided.

Original languageEnglish
Pages (from-to)251-255
Number of pages5
JournalXibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
Volume16
Issue number2
StatePublished - 1998

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