Dual-driver standing wave tube: acoustic impedance matching with robust repetitive control
Tóm tắt
In many applications of acoustic standing wave tubes, for instance thermoacoustic heat pumping systems, it is desirable to make a shorter tube operate like a longer standing wave tube at the same driving frequency. The basic idea here is to reduce the physical length of the tube, and replace the removed section with a secondary driver. The problem is then to match the acoustic impedance at the boundary where the secondary driver is installed to that of the original system. A two-input-two-output (TITO) formulation directly tracks the two acoustic variables related to the impedance, while a SISO formulation minimizes the impedance matching error. The desired impedance containing a very lightly damped mode is embedded in the augmented plant for feedback control design. In addition to the balance realization method, the Schur method was used in model reduction for the high-order non-minimum phase plants. Since the standing wave tubes are driven by tonal signals, repetitive control was incorporated into the control frameworks to achieve the desired performance. Good impedance matching performance was obtained for both formulations. The formulations are compared.
Từ khóa
#Acoustic waves #Impedance matching #Robust control #Resonance #Heat pumps #Frequency #Prototypes #Control systems #Laboratories #Mechanical engineeringTài liệu tham khảo
10.1115/1.1387015
langari, 0, Robustness analysis of sampled-data repetitive control systems, Proceedings of IFAC 13th Triennial World Congress 19-24 San Francisco USA 1996
li, 0, Robust performance repetitive control design using structured singular values and its implementation, Proceedings of the ASME Dynamic Systems and Control Division 347-353 Anaheim CA November 1998, dsc 64
10.1109/9.1274
10.1016/S0005-1098(99)00036-9
hu, 1996, Active noise cancellation in ducts using internal model-based control algorithms, IEEE Transactions on Control Systems Technology, 4
10.1007/BF01447855
10.1121/1.428094
10.1006/jsvi.1996.0905
green, 1995, Linear Robust Control
zhou, 1998, Essentials of Robust Control
10.1109/TAC.1981.1102568
10.1109/9.29399
li, 2002, On-line acoustic efficiency measurement and adaptive frequency tuning for thermoacoustic driver, Journal of Acoustic Society of America
mongeau, 0, Experimental investigations of an electro-dynamically driven thermoacoustic cooler, IMECE 2001/NCA-23520 Proceedings of IMECE 2001 November 11-16 2001 New York NY
10.1063/1.881466
10.1121/1.396617
10.1121/1.418105
kinsler, 1982, Fundamentals of Acoustics
10.1121/1.1907249
grant, 1992, An Investigation of the Physical Characteristics of a Mass Element Resonator
hofler, 1986, Thermoacoustic refrigerator Design and performance
10.1511/2000.6.516
10.1115/1.3269206
10.1115/1.3269207