Unknown input observer design for systems with monotone non-linearities

H.-Y. Liu; Z.-S. Duan

Unknown input observer design for systems with monotone non-linearities

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Unknown input observer design for systems with monotone non-linearities

Author(s): H.-Y. Liu and Z.-S. Duan
DOI: 10.1049/iet-cta.2011.0611

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Author(s): H.-Y. Liu ¹ and Z.-S. Duan ¹
- Affiliations: 1: State Key Lab for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing, People’s Republic of China
Source: Volume 6, Issue 12, 16 August 2012, p. 1941 – 1947
DOI: 10.1049/iet-cta.2011.0611 , Print ISSN 1751-8644, Online ISSN 1751-8652

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A non-linear unknown input observer (UIO) is designed for systems with non-linearities having lower bonds on their slopes. The observer is constructed such that the non-linearity in the observer error system satisfies a sector property. Based on this property rather than the Lipschitz property, an algorithm not limited by Lipschitz constant is proposed. Further, all the parameters in the proposed non-linear UIO can be calculated by solving a linear matrix inequality. The UIO is also extended to an adaptive one for a class of uncertain non-linear systems in which the arguments of non-linear terms are perturbed by unknown parameters. Finally, simulations of electric driving system are used to illustrate the effectiveness of the UIOs.

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Unknown input observer design for systems with monotone non-linearities

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