Title :
Sliding mode control of vibration in a flexible structure via estimated states and H∞/μ techniques
Author :
Pai, M.C. ; Sinha, A.
Author_Institution :
Dept. of Mech. Eng., Pennsylvania State Univ., University Park, PA, USA
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 spill over. The algorithm is based on the sliding mode control and H∞/μ techniques. A set of sliding hyperplanes is designed in estimated state space via the linear fractional transformation and the H∞ control methods. Using a flexible tetrahedral truss structure, numerical examples are presented to verify the theoretical analysis. Results from H∞ control with estimated states, sliding mode/H∞ control using the estimated states and standard output-feedback H∞ control are presented and compared
Keywords :
H∞ control; control system synthesis; feedback; flexible structures; observers; robust control; state-space methods; transforms; variable structure systems; vibration control; H∞ control; flexible structure; linear fractional transform; observer; output-feedback; robust control; sliding hyperplanes; sliding mode control; state estimation; state space; tetrahedral truss structure; vibration control; Control systems; Eigenvalues and eigenfunctions; Equations; Flexible structures; Linear matrix inequalities; Observers; Sliding mode control; State estimation; State feedback; Vibration control;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.876674