Asymptotic stability for coupled modal sliding mode control of vibration in a flexible structure

Article type: Research Article

Authors: Pai, Ming-Chang | Sinha, Alok

Affiliations: Department of Automation Engineering, Nan Kai Institute of Technology, Tsa-Tun, Nantou, 54210, Taiwan | Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USA

Note: [] Corresponding author. Tel.: +886 49 2563489 3308; E-mail: [email protected]

Abstract: This paper deals with the asymptotic stability of the coupled modal sliding mode control of a vibratory structure in the presence of parametric uncertainties. The method is based on the linear fractional transformation and the small gain theorem / μ analysis. Using a flexible tetrahedral truss structure, a numerical example is presented to verify the theoretical analysis.

Keywords: Coupled modal space control, sliding mode control, linear fractional transformation, small gain theorem, μ analysis

DOI: 10.3233/SAV-2009-0471

Journal: Shock and Vibration, vol. 16, no. 3, pp. 319-324, 2009