Coupled modal sliding mode control of vibration in flexible structures

C. K. Kao, A. Sinha

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

The sliding mode control algorithm is developed for the coupled modal space control of a flexible structure when the bounds on the system parameters’ errors are known. An explicit method to construct the desired sliding hyperplanes for the coupled modal sliding mode control is formulated. A boundary layer is used around each sliding hyperplane to eliminate the chattering phenomenon. Three types of steady-state solutions for the closed-loop system inside the boundary layers are found: the zero solution (origin of the state space), the constant nonzero solution, and the limit cycle. The amplitudes, phase angles, and the frequency of the limit cycle have been estimated by the describing function approach. The modal displacements corresponding to the constant nonzero solution have been obtained analytically. The stability of the zero solution has been examined by the linearized system analysis. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analyses.

Original languageEnglish (US)
Pages (from-to)65-72
Number of pages8
JournalJournal of Guidance, Control, and Dynamics
Volume15
Issue number1
DOIs
StatePublished - 1992

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Space and Planetary Science
  • Electrical and Electronic Engineering
  • Applied Mathematics

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