Sliding mode control of vibration in a flexible structure using output feedback method

M. C. Pai; Alok Sinha

doi:10.1115/IMECE2003-43228

Sliding mode control of vibration in a flexible structure using output feedback method

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper presents a new approach for the robust control of vibration in a flexible structure in the presence of uncertain parameters and the effect of observation spillover. The development of the technique which is based on the sliding mode control algorithm and direct output feedback is presented. The uncertainty matrix need not satisfy the invariance or matching conditions. The small gain theorem / μ analysis is applied to analyze the asymptotic behavior of the closed-loop system with parametric uncertainties inside boundary layers. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis.

Original language	English (US)
Pages	151-158
Number of pages	8
DOIs	https://doi.org/10.1115/IMECE2003-43228
State	Published - Jan 1 2003
Event	2003 ASME International Mechanical Engineering Congress - Washington, DC., United States Duration: Nov 15 2003 → Nov 21 2003

Other

Other	2003 ASME International Mechanical Engineering Congress
Country	United States
City	Washington, DC.
Period	11/15/03 → 11/21/03

All Science Journal Classification (ASJC) codes

Mechanical Engineering
Software

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10.1115/IMECE2003-43228

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abstract = "This paper presents a new approach for the robust control of vibration in a flexible structure in the presence of uncertain parameters and the effect of observation spillover. The development of the technique which is based on the sliding mode control algorithm and direct output feedback is presented. The uncertainty matrix need not satisfy the invariance or matching conditions. The small gain theorem / μ analysis is applied to analyze the asymptotic behavior of the closed-loop system with parametric uncertainties inside boundary layers. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis.",

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AB - This paper presents a new approach for the robust control of vibration in a flexible structure in the presence of uncertain parameters and the effect of observation spillover. The development of the technique which is based on the sliding mode control algorithm and direct output feedback is presented. The uncertainty matrix need not satisfy the invariance or matching conditions. The small gain theorem / μ analysis is applied to analyze the asymptotic behavior of the closed-loop system with parametric uncertainties inside boundary layers. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis.

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