Brief Designing robust sliding hyperplanes for parametric uncertain systems: a Riccati approach

Authors:
Kyung-Soo Kim;Youngjin Park;Shi-Hwan Oh
Affiliations:
Digital Media Research Lab., LG Electronics, Inc., 16 Woomyeon-dong Seocho-gu, Seoul 137-724, South Korea;Department of Mechanical Engineering, KAIST, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, South Korea;Department of Mechanical Engineering, KAIST, 373-1 Kusong-dong, Yusong-gu, Taejon 305-701, South Korea
Venue:
Automatica (Journal of IFAC)
Year:
2000

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Abstract

In this paper, we propose a method to design robust sliding hyperplanes in the presence of mismatched parametric uncertainty based on quadratic stability. The robust sliding hyperplane is constructed from a Riccati inequality associated with quadratic stabilizability. The proposed method enables us to deal with structured uncertainty and optimize the sliding motion by applying the guaranteed cost control idea.