Previous Articles    

Adaptive Neural Network Control of Thermoacoustic Instability in Rijke Tube: A Fully Actuated System Approach

ZHAO Yuzhuo1, MA Dan1, MA Hongwei2   

  1. 1. State Key Laboratory of Synthetical Automation for Process Industries and College of Information Science and Engineering, Northeastern University, Shenyang 110819, China;
    2. College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2022-01-17 Revised:2022-03-01 Published:2022-04-13
  • Supported by:
    This research was supported by the National Natural Science Foundation of China under Grant No. 61973060 and the Science Center Program of National Natural Science Foundation of China under Grant No. 62188101.

ZHAO Yuzhuo, MA Dan, MA Hongwei. Adaptive Neural Network Control of Thermoacoustic Instability in Rijke Tube: A Fully Actuated System Approach[J]. Journal of Systems Science and Complexity, 2022, 35(2): 586-603.

Thermoacoustic instability phenomena often encounter in gas turbine combustors, especially for the premixed combustor design, with many possible detrimental results. As a classical experiment, the Rijke tube is the simplest and the most effective illustration to study the thermoacoustic instability. This paper investigates the active control approach of the thermoacoustic instability in a horizontal Rijke tube. What’s more, the radial basis function (RBF) neural network is adopted to estimate the complex unknown continuous nonlinear heat release rate in the Rijke tube. Then, based on the proposed second-order fully actuated system model, the authors present an adaptive neural network controller to guarantee the flow velocity fluctuation and pressure fluctuation to converge to a small region of the origin. Finally, simulation results demonstrate the feasibility of the design method.
[1] Culick F E C and Yang V, Prediction of the stability of unsteady motions in solid-propellant rocket motors, American Institute of Aeronautics and Astronautics, 1992, 28: 719–779.
[2] Richards G A, Straub D L, and Robey E H, Passive control of combustion dynamics in stationary gas turbines, Joumal of Propulsion and Power, 2003, 19: 795–810.
[3] Gysling D L, Copeland G S, Mccormick D C, et al., Combustion system damping augmentation with Helmholtz resonator, Journal of Engineering for Gas Turbines and Power, 2000, 122(1): 269–274.
[4] Eldredge J D and Dowling A P, The absorption of axial acoustic wave by a perforated liner with bias flow, Joumal of Fluid Mechanics, 2003, 485(1): 307–335.
[5] Zhong Z, Time-domain characterization of acoustic damping of a perforated liner with bias flow, Journal of Acoustical America Society, 2012, 312(1): 271–281.
[6] Annaswamy A M and Ghoniem A F, Active control of combustion instability: Theory and practice, IEEE Control Systems Magazine, 2003, 22(6): 37–54.
[7] Epperlein J P, Bamieh B, and Åström K J, Thermoacoustics and the Rijke tube: Experiments, identification, and modeling, IEEE Control Systems Magazine, 2015, 35(2): 57–77.
[8] Heckl M A, Active control of the noise from a Rijke tube, Journal of Sound and Vibration, 1988, 124(1): 117–133.
[9] Sattinger S S, Neumeier Y, Nabi A, et al., Sub-scale demonstration of the active feedback control of gas turbine combustion instability, Transactions of the ASME, 2000, 262(1): 262–268.
[10] Seume J R, Vortmeyer N, Krause W, et al., Application of active combustion nstability control to a heavy duty gas turbine, Joumal of Engineering for Gas Tiurbines and Power, 1998, 120(1): 721–726.
[11] Dowling A P and Morgans A S, Feedback control of combustion oscillations, Annual Review of Fluid Mechanics, 2005, 37: 151–182.
[12] Zhao D, Lu Z L, Zhao H, et al., A review of active control approaches in stabilizing combustion systems in aerospace industry, Progress in Aerospace Sciences, 2018, 97: 35–60.
[13] King L V, On the convection of heat from small cylinders in a stream of fluid, Philosophical Transactions of the Royal Society, 1914, A214: 373–432.
[14] Heckl M A, Nonlinear acoustic effects in the Rijke tube, Acustica, 1990, 72(1): 63–71.
[15] Sanner R M and Slotine J E, Gaussian networks for direct adaptive control, IEEE Transactions on Neural Networks, 1992, 3(6): 837–863.
[16] Ge S S and Li Z J, Robust adaptive control for a class of MIMO nonlinear systems, IEEE Transactions Automatica Control, 2014, 59(6): 1624–1629.
[17] Zhang H and Lewis F L, Adaptive cooperative tracking control of higher-order nonlinear system with unknown dynamics, Automatica, 2012, 48(7): 1432–1439.
[18] Andrade G, Vazquez R, and Pagano D J, Backstepping-based estimation of thermoacoustic oscillations in a Rijke tube with experimental validation, IEEE Transactions on Automatic Control, 2020, 65(12): 5336–5343.
[19] Wilhelmsen N and Meglio F D, An observer for the electrically heated vertical Rijke tube with nonlinear heat release, IFAC-PapersOnLine, 2020, 53(2): 4181–4188.
[20] Artur D, Rafael V, and Juan P D, Backstepping stabilization of a linearized ODE-PDE Rijke tube model, Automatica, 2018, 96: 98–109.
[21] Zhao D and Reyhanoglu M, Feedback control of acoustic disturbance transient growth in triggering thermoacoustic instability, Journal of Sound and Vibration, 2014, 333: 3639–3656.
[22] Li X Y and Zhao D, Feedback control of self-sustained nonlinear combustion oscillations, Journal of Engineering for Gas Turbines and Power, 2016, 138: 061505-1–061505-9.
[23] Duan G R, High-order system approaches: I. Full-actuated systems and parametric designs, Acta Automatica Sinica, 2020, 46(7): 1333–1345.
[24] Fantoni I and Lozano R, Non-Linear Control for Underactuated Mechanical Systems, SpringerVelag, London, 2002.
[25] Duan G R, High-order fully actuated system approaches: Part Il. Generalized strict-feedback systems, International Journal of Systems Science, 2021, 52(3): 437–454.
[26] Duan G R, High-order fully actuated system approaches: Part Ill. Robust control and high-order backstepping, International Journal of Systems Science, 2021, 52(5): 952–971.
[27] Meirovitch L, Analytical Methods in Vibrations, Macmillan, New York, 1967, Chap. 6.
[28] Ge S S and Tee K P, Approximation based control of nonlinear MIMO time delay systems, Automatica, 2007, 43(1): 31–43.
[29] Duan G R, High-order fully actuated system approaches: Part IV. Adaptive control and highorder backstepping, International Journal of Systems Science, 2021, 52(5): 972–989.
[30] Zhao D and Rubio-Hervas J, Nonlinear feedback control of self-sustained thermoacoustic oscillations, Aerospace Science and Technology, 2015, 41(2): 209–215.
[1] DUAN Guang-Ren. Brockett’s First Example: An FAS Approach Treatment [J]. Journal of Systems Science and Complexity, 2022, 35(2): 441-456.
[2] LIU Guo-Ping. Predictive Control of High-Order Fully Actuated Nonlinear Systems with Time-Varying Delays [J]. Journal of Systems Science and Complexity, 2022, 35(2): 457-470.
[3] XIAO Fuzheng, CHEN Liqun. Attitude Control of Spherical Liquid-Filled Spacecraft Based on High-Order Fully Actuated System Approaches [J]. Journal of Systems Science and Complexity, 2022, 35(2): 471-480.
[4] WANG Na, LIU Xiaoping, LIU Cungen, WANG Huanqing, ZHOU Yucheng. Almost Disturbance Decoupling for HOFA Nonlinear Systems with Strict-Feedback Form [J]. Journal of Systems Science and Complexity, 2022, 35(2): 481-501.
[5] NING Pengju, HUA Changchun, MENG Rui. Adaptive Control for a Class of Nonlinear Time-Delay System Based on the Fully Actuated System Approaches [J]. Journal of Systems Science and Complexity, 2022, 35(2): 522-534.
[6] ZHOU Bin, DUAN Guang-Ren. On the Role of Zeros in the Pole Assignment of Scalar High-Order Fully Actuated Linear Systems [J]. Journal of Systems Science and Complexity, 2022, 35(2): 535-542.
[7] LIU Xinmiao · XIA Jianwei · WANG Jing · SHEN Hao. Interval Type-2 Fuzzy Passive Filtering for Nonlinear Singularly Perturbed PDT-Switched Systems and Its Application [J]. Journal of Systems Science and Complexity, 2021, 34(6): 2195-2218.
[8] LIU Wei · HUANG Jie. Sampled-Data Semi-Global Robust Output Regulation for a Class of Nonlinear Systems [J]. Journal of Systems Science and Complexity, 2021, 34(5): 1743-1765.
[9] LIU Guo-Ping. Networked Learning Predictive Control of Nonlinear Cyber-Physical Systems [J]. Journal of Systems Science and Complexity, 2020, 33(6): 1719-1732.
[10] JIANG Yanguang,HUANG Yi,XUE Wenchao,FANG Haitao. On Designing Consistent Extended Kalman Filter [J]. Journal of Systems Science and Complexity, 2017, 30(4): 751-764.
[11] HU Qiong,FEI Qing,MA Hongbin,WU Qinghe,GENG Qingbo. Switching Control System Based on Robust Model Reference Adaptive Control [J]. Journal of Systems Science and Complexity, 2016, 29(4): 897-932.
[12] CHEN Qiang,TAO Liang,NAN Yurong. Full-Order Sliding Mode Control for High-Order Nonlinear System Based on Extended State Observer [J]. Journal of Systems Science and Complexity, 2016, 29(4): 978-990.
[13] SU Wei. Perfect Adaptation of General Nonlinear Systems [J]. Journal of Systems Science and Complexity, 2016, 29(1): 61-73.
[14] SHANG Fang,LIU Yungang,ZHANG Guiqing. Adaptive Stabilization for a Class of Feedforward Systems with Zero-Dynamics [J]. Journal of Systems Science and Complexity, 2015, 28(2): 305-315.
[15] YAN Xuehua, LIU Yungang,WANG Qingguo. Global Output-Feedback Tracking for Nonlinear Cascade Systems with Unknown Growth Rate and Control Coefficients [J]. Journal of Systems Science and Complexity, 2015, 28(1): 30-46.
Viewed
Full text


Abstract