A Computational Approach to Vibration Control of Vehicle Engine-Body Systems

In recent years, the noise and vibration of cars have become increasingly important [20, 23, 29, 30, 35]. A major comfort aspect is the transmission of engine-induced vibrations through powertrain mounts into the chassis (see Figure 1). Engine and powertrain mounts are usually designed according to criteria that incorporate a trade-off between the isolation of the engine from the chassis and the restriction of engine movements. The engine mount is an efficient passive means to isolate the car chassis structure from the engine vibration. However, the passive means for isolation is efficient only in the high frequency range. However the vibration disturbance generated by the engine occurs mainly in the low frequency range [8, 19, 23, 30]. These vibrations are result of the fuel explosion in the cylinder and the rotation of the different parts of the engine (see Figure 2). In order to attenuate the low frequency disturbances of the engine vibration while keeping the space and price constant, active vibration means are necessary.

[1]  Mohsen Razzaghi,et al.  Solution of time-varying delay systems by hybrid functions , 2004, Math. Comput. Simul..

[2]  C. F. Chen,et al.  Haar wavelet method for solving lumped and distributed-parameter systems , 1997 .

[3]  R. Krtolica,et al.  Optimal active suspension control based on a half-car model , 1990, 29th IEEE Conference on Decision and Control.

[4]  L. Wang,et al.  Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties , 1996, IEEE Trans. Autom. Control..

[5]  Zenta Iwai,et al.  Active vibration control of a multi-degree-of-freedom structure by the use of robust decentralized simple adaptive control , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[6]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[7]  Behzad Moshiri,et al.  Haar Wavelet-Based Approach for Optimal Control of Second-Order Linear Systems in Time Domain , 2005 .

[8]  S.J. Elliott,et al.  Active noise control , 1993, IEEE Signal Processing Magazine.

[9]  B. Riley,et al.  An adaptive strategy for vehicle vibration and noise cancellation , 1996, Proceedings of the IEEE 1996 National Aerospace and Electronics Conference NAECON 1996.

[10]  Hamid Reza Karimi,et al.  Numerically efficient approximations to the optimal control of linear singularly perturbed systems based on Haar wavelets , 2005, Int. J. Comput. Math..

[11]  M. Ohkita,et al.  An application of rationalized Haar functions to solution of linear differential equations , 1986 .

[12]  Alberto Cavallo,et al.  A sliding manifold approach for vibration reduction of flexible systems , 1999, Autom..

[13]  Hamid Reza Karimi,et al.  A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets , 2004, Int. J. Comput. Math..

[14]  Dennis S. Bernstein,et al.  Bode integral constraints, collocation, and spillover in active noise and vibration control , 1998, IEEE Trans. Control. Syst. Technol..

[15]  Eric Rogers,et al.  LTR control methodologies for microvibrations , 1998, Proceedings of the 1998 IEEE International Conference on Control Applications (Cat. No.98CH36104).

[16]  Kenzo Nonami,et al.  Active vibration control using LMI-based mixed H/sub 2//H/sub /spl infin// state and output feedback control with nonlinearity , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[17]  Ing-Rong Horng,et al.  ANALYSIS, PARAMETER ESTIMATION AND OPTIMAL CONTROL OF TIME-DELAY SYSTEMS VIA CHEBYSHEV SERIES , 1985 .

[18]  Jianming Yang,et al.  Two-degree-of-freedom controller to reduce the vibration of vehicle engine-body system , 2001, IEEE Trans. Control. Syst. Technol..

[19]  C. F. Chen,et al.  A state-space approach to Walsh series solution of linear systems , 1975 .

[20]  H.-J Karkosch,et al.  Automotive applications of active vibration control , 1999, 1999 European Control Conference (ECC).

[21]  G. Rao Piecewise Constant Orthogonal Functions and Their Application to Systems and Control , 1983 .

[22]  Koorosh Naghshineh,et al.  A comparison of open-loop feedforward and closed-loop methods for active noise control using volume velocity minimization , 1999 .

[23]  J. Ackermann,et al.  Robust control , 2002 .

[24]  Boris Lohmann,et al.  H∞ Feedback control and Fx-LMS feedforward control for car engine vibration attenuation , 2005 .

[25]  Rahmat A. Shoureshi,et al.  Hybrid adaptive robust structural vibration control , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[26]  Wen-June Wang,et al.  State analysis and parameter estimation of bilinear systems via Haar wavelets , 2000 .

[27]  Kenzo Nonami,et al.  Active Vibration Control Using LMI-Based Mixed Nonlinearity H2 / H, State and Output Feedback Control with , 1996 .

[28]  Lei Chen,et al.  Active vibration absorber design via sliding mode control , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[29]  David L. Trumper,et al.  Vibration control of flexible beams using sensor averaging and actuator averaging methods , 2002, IEEE Trans. Control. Syst. Technol..

[30]  P. Khargonekar,et al.  Robust stabilization of linear systems with norm-bounded time-varying uncertainty , 1988 .

[31]  Jorma Rissanen Optimal Estimation , 2011, ALT.

[32]  C. Burrus,et al.  Introduction to Wavelets and Wavelet Transforms: A Primer , 1997 .

[33]  Mohsen Razzaghi,et al.  Fourier series direct method for variational problems , 1988 .

[34]  André Preumont,et al.  Vibration Control of Active Structures: An Introduction , 2018 .

[35]  A.H. von Flotow,et al.  Linear control design for active vibration isolation of narrow band disturbances , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[36]  Chyi Hwang,et al.  Laguerre operational matrices for fractional calculus and applications , 1981 .