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Proofs of Utkin's Theorem for MIMO Uncertain Integral Linear Systems

이정훈
한국전기전자학회 (Institute of Korean Electrical and Electronics Engineers)|2014.06|전기전자학회논문지 (Journal of IKEEE)|제18권 제2호|pp. 255-262|DOI http://dx.doi.org/10.7471/ikeee.2014.18.2.255

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참고문헌

키워드

Sliding mode controlUtkin’s theoremVariable structure systemDiagonalization methodTransformation method
주제분류전자/정보통신공학

초록

The uncertain integral linear system is the integral-augmented uncertain system to improve the resultant performance. In this note, for a MI(Multi Input) uncertain integral linear case, Utkin's theorem is proved clearly and comparatively. With respect to the two transformations(diagonalizations), the equation of the sliding mode is invariant. By using the results of this note, in the SMC for MIMO uncertain integral linear systems, the existence condition of the sliding mode on the predetermined sliding surface is easily proved. The effectiveness of the main results is verified through an illustrative example and simulation study.

Abstract

The uncertain integral linear system is the integral-augmented uncertain system to improve the resultant performance. In this note, for a MI(Multi Input) uncertain integral linear case, Utkin's theorem is proved clearly and comparatively. With respect to the two transformations(diagonalizations), the equation of the sliding mode is invariant. By using the results of this note, in the SMC for MIMO uncertain integral linear systems, the existence condition of the sliding mode on the predetermined sliding surface is easily proved. The effectiveness of the main results is verified through an illustrative example and simulation study.

참고문헌 (30)

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