A Two-stage Floating Raft Isolation System Featuring Electrorheological Damper with Semi-Active Fuzzy Sliding Mode Control

Abstract

In this article, a semi-active fuzzy sliding mode control (FSMC) strategy for the vibration attenuation is presented based on the fact that for two-stage electrorheological (ER) damper floating raft isolation system, the upper bounds for uncertainty external disturbance and the parameters perturbation are hard to estimate in advance, and the damping force of ER damper is controlled continuously. The parameters of sliding surface are selected based on Hurwitz stable judgement of sliding mode motion equation. Fuzzy controller is designed in terms of the sliding mode reaching condition and the maximal damping force of ER damper. The optimal vibration attenuation of the intermediate mass is guaranteed due to the control rule that damping force only dissipates the vibration energy of the main object. The robustness of the proposed semi-active FSMC method with respect to parameter variations and the effectiveness of the controller designed in this study are demonstrated by numerical simulation. It showed that the proposed semi-active FSMC strategy realized by the ER damper can achieve better performance than those of optimally passive damping and maximum damping variety even if system parameter variations exist. In addition, the experiment was carried out to demonstrate the practical effectiveness of the presented control scheme in this study. The experimental results are satisfied.

Keywords

semi-active fuzzy sliding mode control two-stage floating raft isolation system electrorheological damper.

Get full access to this article

View all access options for this article.

References

Berstecher, R.G. , Palm, R. and Unbehauen, H. 1996. ``Direct Fuzzy Adaptation of a Fuzzy Controller,'' Proc. 13th World Congr. Int. Federation Automatic Control Conf , San Francisco, CA, July, Vol. K, pp. 49-54.

Elbeheiry, E.M. 2002. ``Effects of Small Travel Speed Variations On Active Vibration Control in Modern Vehicles,'' Journal of Sound and Vibration , 232(5):857-875.

Gavin, H.P. , Hanson, R.D. and Filisko, F.E. 1996a. ``Electrorheological Dampers, Part I: Analysis and Design ,'' ASME Journal of Applied Mechanics, 63:669-675.

Gavin, H.P. , Hanson, R.D. and Filisko, F.E. 1996b. ``Electrorheological Dampers, Part II: Testing and Modeling ,'' ASME Journal of Applied Mechanics, 63:669-675.

Howard, C.Q. , Hansen, C.H. and Pan, J.Q. , 1997. ``Power Transmission from a Vibrating Body to a Circular Cylindrical Shell Through Passive and Active Isolation,'' Journal of the Acoustical Society of America, 101(3):1479-1490.

Hwang, G.C. and Lin, S.C. 1992. ``A Stability Approach to Fuzzy Control Design for Nonlinear Systems,'' Fuzzy Sets and Systems, 48:269-278.

Jason, L. and Norman, M.W. 1999. ``Analysis and Testing of Electrorheological Bypass Dampers ,'' Journal of Intelligent Material System and Structures , 10:363-376.

Li, T.H.S. and Shieh, M.Y. 2000. ``Switching-type Fuzzy Sliding Mode Control of a Cart-pole System,'' Mechatronics, 10:91-109.

Li, T.Y. , Zhang, X.M. , Zuo, Y.T. and Xu, M.B. 1997. ``Structural Power Flow Analysis for a Floating Raft Isolation System Consisting of Constrained Damper Beams,'' Journal of Sound and Vibration, 202(1):47-54.

10.

Liu, Y. , Waters, T.P. and Brennan, M.J. 2005. ``A Comparison of Semi-Active Damping Control Strategies for Vibration Isolation of Harmonic Disturbances,'' Journal of Sound and Vibration, 280:21-39.

11.

Lou, Z. , Ervin, R.D. and Filisko, F.E. 1994. ``A Preliminary Parametric Study of Electrorheological Dampers,'' ASME Journal of Fluids Engineering, 116:570-576.

12.

Nelson, P.A. 1982. ``Vibration Isolation on Floating Floors, '' Applied Acoustics, 15(2):97-109.

13.

Nilsson, A.C. and Seland, B. 1977. ``Floating Floor on Ship and Offshore Constructions,'' Proceedings of the Inter-Noise'77.

14.

Niu, J.C. , Song, K.J. and Lim, C.W. 2005. ``On Active Vibration Isolation of Floating Raft System ,'' Journal of Sound and Vibration, 285:391-406.

15.

Niu, J.C. , Song, K.J. Huo, R. and Zhang, W.B. , 2001. ``Study on Strategies of Active Vibration Isolation in the Coupling Flexible System,'' Chinese Journal of Mechanical Engineering, 37(12):28-33.

16.

Pan, J.Q. and Hansen, C.H. 1993. ``Active Control of Power Flow from a Vibrating Rigid Body to a Flexible Panel through Two Active Isolators,'' Journal of the Acoustical Society of America, 94(3):1947-1953.

17.

Pan, J.Q. , Hansen, C.H. and Pan, J. 1993. ``Active Isolation of a Vibration Source from a Thin Beam Using a Single Active Mount,'' Journal of the Acoustical Society of America, 94(3):1425-1434.

18.

Pan, J.Q. and Hansen, C.H. 1994. ``Power Flow from a Vibration Source though an Intermediate Flexible Panel to a Flexible Cylinder,'' Transactions of the ASME Journal of Vibration and Acoustics, 116:496-505.

19.

Pan, J. , Pan, J.Q. and Hansen, C.H. 1992. ``Total Power Flow from a Vibrating Rigid Body to a Thin Panel Through Multiple Elastic Mounts,'' Journal of the Acoustical Society of America, 92(2):895-907.

20.

Petek, N.K. , 1992. ``An Electronically Controlled Shock Absorber Using Electro-rheological Fluid,'' SAE Technical Paper 920275.

21.

Qu, Z.Q. and Chang, W.J. 2000. ``Dynamic Condensation Method for Viscously Damper Vibration Systems in Engineering,'' Engineering Structure, 23:1426-1432.

22.

Sturk, M. , Wu, X.M. and Wong, J.Y. 1995. ``Development and Evaluation of a High Voltage Supply Unit for Electro-rheological Fluid Dampers,'' Vehicle System Dynamics, 24:101-121.

23.

Sun, Y.G. and Song, K.J. , 1999. ``Study on Power Flow Transmission of Raft Vibration Isolation System,'' DYMAC' 99, pp. 471-474.

24.

Xiong, Y.P. , Song, K.J. Wang, C. and Han, Y.C. 1996. ``Power Flow Analysis for a New Isolation System Flexible Floating Raft,'' Chinese Journal of Mechanical Engineering , 9(3):260-264.

25.

Xiong, Y.P. , Xing, J.T. and Price, W.G. 2001. ``Power Flow Analysis of Complex Coupled System by Progressive Approaches,'' Journal of Sound and Vibration, 239(2):275-295.

26.

Yang, J.N. , Wu, J.C. and Li, Z. 1996. ``Control of Seismic-excited Buildings using Active Variable Stiffness Systems,'' Engineering Structure, 18(8):589-596.