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A Poof of Utkin's Theorem for a SI Uncertain Linear Case  

Lee, Jung-Hoon (Dept of Control & Instrum. Eng., Gyeongsang National University)
Publication Information
Journal of the Institute of Electronics Engineers of Korea SC / v.48, no.6, 2011 , pp. 8-14 More about this Journal
Abstract
In this note, a proof of Utkin's theorem is presented for SI(Single input) uncertain linear systems. The invariance theorem with respect to the two transformation methods so called the two diagonalization methods is proved clearly and comparatively for SI uncertain linear systems. With respect to the sliding surface transformation, the equation of the sliding mode i.e., the sliding surface is invariant. The control inputs by the two transformation methods both have the same gains. By means of the two transformation methods, the same results can be obtained. Through an illustrative example and simulation study, the usefulness of the main results is verified.
Keywords
variable structure system; sliding mode control; proof of Ukin's Theorem; diagonalization methods;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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