TY - GEN
T1 - ACTIVE CONTROL OF VIBRATION IN A FLEXIBLE STRUCTURE WITH UNCERTAIN PARAMETERS VIA SLIDING MODE AND Hj/i TECHNIQUES
AU - Pai, M. C.
AU - Sinha, A.
N1 - Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1998
Y1 - 1998
N2 - This paper presents a new approach for the robust control of vibration in flexible structures with uncertain parameters. The algorithm is based on sliding mode control and H∞/μ techniques. First, the sliding mode control algorithm is developed using state feedback and the chattering behavior is eliminated using boundary layers around sliding hyperplanes. The LQ control method and H∞control method for designing sliding hyperplanes are presented. The switching control is chosen to satisfy the so-called reaching condition. Then, 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. Results from H∞full state feedback control method, sliding mode with H∞full state feedback control method, LQ control method and sliding mode with LQ control method are presented and compared.
AB - This paper presents a new approach for the robust control of vibration in flexible structures with uncertain parameters. The algorithm is based on sliding mode control and H∞/μ techniques. First, the sliding mode control algorithm is developed using state feedback and the chattering behavior is eliminated using boundary layers around sliding hyperplanes. The LQ control method and H∞control method for designing sliding hyperplanes are presented. The switching control is chosen to satisfy the so-called reaching condition. Then, 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. Results from H∞full state feedback control method, sliding mode with H∞full state feedback control method, LQ control method and sliding mode with LQ control method are presented and compared.
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U2 - 10.1115/IMECE1998-0394
DO - 10.1115/IMECE1998-0394
M3 - Conference contribution
AN - SCOPUS:85124539428
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 1
EP - 7
BT - Vibration and Noise Control
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1998 International Mechanical Engineering Congress and Exposition, IMECE 1998
Y2 - 15 November 1998 through 20 November 1998
ER -