Abstract
An Extended Kalman Filter (EKF) was proposed for fan speed signal infusion of the turbo fan engine. Firstly, a nonlinear discrete time analytical engine model was identified using a general nonlinear engine mathematical model based on least square method. Afterwards, fan speed signal infusion EKF algorithm was designed based on optimal filtering theory for nonlinear multistage dynamic process. Then, Kalman gains of EKF algorithm were offline tuned, and fan speed signal was synthesized by using 6 different combinations of 4 sensed parameters, T25, T3, Ps3 and EGT as input of the infusion EKF algorithm, and the infused fan speed signal under different infusion combinations were compared with the actual fan speed signal sensed directly from nonlinear engine model using small step test cases. After that, fan speed closed loop control simulations were conducted using the infused fan speed signal as feedback, and algorithms with 6 different infusion combinations were analyzed with respects to control performance and stability using small step command test case under ideal environment. Finally, closed loop control simulation was conducted with the fan speed EKF infusion signal from selected 3 parameter infusion algorithm as feedback using both small and big step command test case under stochastic environment. The results show that, under both ideal (without consideration of noise) and stochastic conditions, the proposed EKF fan speed signal infusion algorithm has a good closed loop control performance
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Abbreviations
- EGT:
-
: Engines exhaust total temperature [K].
- J:
-
: Moment of inertia [kg.m2]
- K:
-
: Kalman filter state feedback gain.
- MT:
-
: Torsional moment [kg.m/s].
- Nc:
-
: Engine core rotor speed [rpm].
- N1(Nf):
-
: Engine fan speed [rpm].
- Ndot :
-
: Rate of engine core rotor or fan speed [rpm].
- Ps3:
-
: Engine high pressure compressor static pressure [kPa].
- T3:
-
: Engine high pressure compressor total temperature [K].
- T25:
-
: Engine high pressure compressor total temperature [K]
- Wf:
-
: Mass flow rate [kg/h]
References
Jaw LC, Mattingly JD (2009) Aircraft engine controls design, System Analysis, and Health Monitoring. AIAA Education Series, Virginia, USA
Wang X (2013) Foundation of inertial navigation. Northwestern Polytechnical University Press, Xi’an, China
Jing X (1973) Application foundation of Kalman filter. National Defense Industry Press, BEI Jing(China)
Kalman RE (1963) New methods in Wiener Filtering theory. In: Proceedings of the First Symposium on Engineering Applications of Random function theory and probability
Kalman RE (1960) A New Approach to linear Filtering and prediction problems. Trans ASME, Series D J Basic Eng 82:35–45
Bryson AE, Yu-Chi Ho (1975) Applied Optimal Control, 2nd edn. CRC Press
Hockerdal E, Frisk E, Eriksson L (2009) Observer design and model augmentation for bias compensation with a truck engine application. Control Eng Pract 17:408–417
Modalavalasa N, Rao GSB, Prasad KS, Ganesh L (2015) A new method of target tracking by EKF using bearing and elevation measurements for underwater environment. Robot Auton Syst 74:221–228
Hockerdal E, Frisk E, Eriksson L (2010) Model based engine map adaption using EKF. In: AAC 2010, Munich, Germany, 12–14 July 2010
Guardiola C, Pla B, Blanco-Rodriguez D, Eriksson L (2013) A computationally efficient Kalman filter based estimator for updating lookup table applied to NOx estimation in diesel engines. Control Eng Pract 21:1455–1468
Sarim M, Nemati A, Kumar M, Cohen K (2015). Extended Kalman Filter based quadrotor state estimation based on asynchronous multi-sensor data. In: ASME 2015 Dynamic Systems and Control Conference. DSCC 2015-9925
Chen S, Yan F (2013) Cycle-by-cycle Based In-cylinder temperature estimation for diesel engines. ASME 2013 Dyn Syst Control Conf. DSCC 2013-4005
Wang Z (2017) Observer-based cylinder air charge estimation for spark-Ignition engines. J Eng Gas Turbines Power from IC Engine Div of ASME 2017
Souflas I (2015) Nonlinear recursive estimation with estimability analysis for physical and semi physical engine. J Dyn Syst Measur Control Dyn Syst Div of ASME 2015
Tan D, He A, Kong X, Wang G (2011) UIO based on sensor fault diagnosis for aero engine control system. J Aerosp Power 26(6):1396–1404
Feng L (2016) An improved extended Kalman Filter with inequality constraints for gas turbine engine health monitoring. Aerosp Sci Technol 58:36–47
Viassolo D (2007) Advanced controls for fuel consumption and time-on-wing optimization in commercial aircraft engines. ASME Turbo Expo 2007: GT2007-27214
Fan S (2008) Aero Engine Control. Northwestern Polytechnical University Press, Xi’an, China
Walch PP, Fletch P (2004) Gas Turbine Performance, 2nd edn. American Society of Mechanical
Yao H (2014) Full authority digital electronic control system. Aviation Industry Press, Beijing, China)
Isdori (1995) Nonlinear Control systems, 3rd edn. Springer, London
Li Q (2001) Numerical Analysis, 4th edn. Tsinghua University Press, Beijing, China
Kincaid D (2009) Numerical Analysis. American Mathematical Society 2009
Frederick D, DeCastro J, Litt J (2007) User’s Guide for the Commercial Modular Aero-Propulsion System Simulation (C-MAPSS). NASA TM-2007-215026, Glenn Research Center, Cleveland, Ohio
Ljung L (1999) System Identification: Theory for the user, 2nd edn. Prentice Hall Press, USA
Jun LU, Yingqing GUO, Xiaolei CHEN (2011) Establishment of aero-engine state variable model based on linear fitting method. J Aerosp Power 26(5):1172–1177
Scardua LA, da Cruz JJ (2017) Complete offline tuning of the unscented Kalman filter. Automatica 80:54–61
Zhang Y, Lu X, Tao Jin-wei, Xin-chen M (2017). Design and analysis of a sliding mode parameter limit regulating system for turbo fan engine. ASME Turbo Expo 2017, GT2017-64510
Acknowledgments
The author wishes to thank dear senior engine expert Zheng Jianhong and colleagues from Controls Department of AECC CAE Company in China, for their support in the study of this paper.
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Lv, X., Zhang, Y. (2019). Extended Kalman Filter Infusion Algorithm Design and Application Characteristics Analysis to Stochastic Closed Loop Fan Speed Control of the Nonlinear Turbo-Fan Engine. In: Zhang, X. (eds) The Proceedings of the 2018 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2018). APISAT 2018. Lecture Notes in Electrical Engineering, vol 459. Springer, Singapore. https://doi.org/10.1007/978-981-13-3305-7_143
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