A model predictive algorithm for active control of nonlinear noise processes

Article type: Research Article

Authors: Zhang, Qi-Zhi | Gan, Woon-Seng | Zhou, Ya-li

Affiliations: Department of computer science and Automation, Beijing Institute of Machinery, P. O. Box 2865, Beijing, 100085, People's Republic of China | School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore

Note: [] Corresponding author. E-mail: zqzbim@yahoo.com.cn

Abstract: In this paper, an improved nonlinear Active Noise Control (ANC) system is achieved by introducing an appropriate secondary source. For ANC system to be successfully implemented, the nonlinearity of the primary path and time delay of the secondary path must be overcome. A nonlinear Model Predictive Control (MPC) strategy is introduced to deal with the time delay in the secondary path and the nonlinearity in the primary path of the ANC system. An overall online modeling technique is utilized for online secondary path and primary path estimation. The secondary path is estimated using an adaptive FIR filter, and the primary path is estimated using a Neural Network (NN). The two models are connected in parallel with the two paths. In this system, the mutual disturbances between the operation of the nonlinear ANC controller and modeling of the secondary can be greatly reduced. The coefficients of the adaptive FIR filter and weight vector of NN are adjusted online. Computer simulations are carried out to compare the proposed nonlinear MPC method with the nonlinear Filter-x Least Mean Square (FXLMS) algorithm. The results showed that the convergence speed of the proposed nonlinear MPC algorithm is faster than that of nonlinear FXLMS algorithm. For testing the robust performance of the proposed nonlinear ANC system, the sudden changes in the secondary path and primary path of the ANC system are considered. Results indicated that the proposed nonlinear ANC system can rapidly track the sudden changes in the acoustic paths of the nonlinear ANC system, and ensure the adaptive algorithm stable when the nonlinear ANC system is time variable.

Keywords: active noise control, model predictive control, nonlinear control, online modeling

Journal: Shock and Vibration, vol. 12, no. 3, pp. 227-237, 2005