Sliding mode control of vibration in flexible structures using estimated states

C. K. Kao, A. Sinha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

11 Scopus citations

Abstract

The sliding mode algorithm for control of vibration in a flexible structure has been formulated when states are estimated using an observer. A singular-value approach is used to study the robustness of this control system to observation spillover. Numerical examples are presented for a simply supported beam and a flexible tetrahedral truss. For the simply supported beam structure, the natural frequencies are well separated. To have a robust system in this case with single input and output, the desired sliding manifold and the Luenberger observer gain matrix have been found by the pole-placement method. However, to have a robust system for the flexible tetrahedral truss structure with closely lumped natural frequencies, three inputs, and three outputs, a linear quadratic method for the construction of the sliding manifold and a Kalman filter with fictitious noise for the observer design have been used.

Original languageEnglish (US)
Title of host publicationProceedings of the American Control Conference
PublisherPubl by American Automatic Control Council
Pages2467-2474
Number of pages8
ISBN (Print)0879425652, 9780879425654
DOIs
StatePublished - 1991
EventProceedings of the 1991 American Control Conference - Boston, MA, USA
Duration: Jun 26 1991Jun 28 1991

Publication series

NameProceedings of the American Control Conference
Volume3
ISSN (Print)0743-1619

Other

OtherProceedings of the 1991 American Control Conference
CityBoston, MA, USA
Period6/26/916/28/91

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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    Kao, C. K., & Sinha, A. (1991). Sliding mode control of vibration in flexible structures using estimated states. In Proceedings of the American Control Conference (pp. 2467-2474). (Proceedings of the American Control Conference; Vol. 3). Publ by American Automatic Control Council. https://doi.org/10.23919/acc.1991.4791846