Coupled modal sliding mode control of vibration in flexible structures

C. K. Kao, A. Sinha

Research output: Contribution to conferencePaper

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 model 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)
Pages404-413
Number of pages10
StatePublished - Jan 1 1990
EventGuidance, Navigation and Control Conference, 1990 - Portland, United States
Duration: Aug 20 1990Aug 22 1990

Other

OtherGuidance, Navigation and Control Conference, 1990
CountryUnited States
CityPortland
Period8/20/908/22/90

Fingerprint

Flexible structures
Sliding mode control
Boundary layers
Describing functions
Closed loop systems
Systems analysis

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering

Cite this

Kao, C. K., & Sinha, A. (1990). Coupled modal sliding mode control of vibration in flexible structures. 404-413. Paper presented at Guidance, Navigation and Control Conference, 1990, Portland, United States.
Kao, C. K. ; Sinha, A. / Coupled modal sliding mode control of vibration in flexible structures. Paper presented at Guidance, Navigation and Control Conference, 1990, Portland, United States.10 p.
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Kao, CK & Sinha, A 1990, 'Coupled modal sliding mode control of vibration in flexible structures', Paper presented at Guidance, Navigation and Control Conference, 1990, Portland, United States, 8/20/90 - 8/22/90 pp. 404-413.

Coupled modal sliding mode control of vibration in flexible structures. / Kao, C. K.; Sinha, A.

1990. 404-413 Paper presented at Guidance, Navigation and Control Conference, 1990, Portland, United States.

Research output: Contribution to conferencePaper

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Kao CK, Sinha A. Coupled modal sliding mode control of vibration in flexible structures. 1990. Paper presented at Guidance, Navigation and Control Conference, 1990, Portland, United States.