Constrained nonlinear model predictive control (NMPC) is applied to a turbo-shaft engine based on a nonlinear integrated helicopter/turbo-shaft engine simulation system with a reliable confidence level. First, a new method called multiple-output recursive reduced least square support vector regression (RRLSSVR) is proposed to build an engine dynamic predictive model. In the flight envelope of altitude 0-5 km and forward speed 0-75 m/s, the predictive model has a satisfying accuracy within 5‰. Subsequently, considering the comprehensive influences of rotor torque, engine fuel flow, gas turbine rotor speed, power turbine rotor speed and their constraint conditions, a rolling optimizer is designed with the sequential quadratic programming (SQP) algorithm. Then, in order to track the constant reference signal with no error, a correcting step is utilized by adding a deviation integral to the output of the predictive controller. Finally, in comparison with the cascade PID controller, the proposed predictive controller can decrease the droop or overshoot of power turbine rotor speed remarkably during the maneuver flight simulations of the helicopter.
WANG Jiankang
,
ZHANG Haibo
,
HUANG Xianghua
,
LU Bo
. Nonlinear Model Predictive Control for the Engine Based on an Integrated Helicopter/Turbo-shaft Engine Simulation Platform[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012
, (3)
: 402
-411
.
DOI: CNKI:11-1929/V.20110906.1125.007
[1] Smith B J, Zagranski R D. Next generation control system for helicopter engines. Washington D.C.: The 57th AHS International Annual Forum, 2001.
[2] Rock S M, Neighbors K. Integrated flight/propulsion control for helicopters. St.Louis, MO: The 49th AHS International Annual Forum, 1993.
[3] Qin S J, Badgwell T A. A survey of industrial model predictive control technology. Control Engineering Practice, 2003, 11(7): 733-764.
[4] Mayne D Q, Rawlings J B, Rao C V, et al. Constrained model predictive control: stability and optimality. Automatica, 2000, 36(6): 789-814.
[5] Magni L, Nijmeijer H, der van Schaft A J. A receding horizon approach to the nonlinear H∞ control problem. Automatica, 2001, 37(3): 429-435.
[6] Garg S. Introduction to advanced engine control concepts. Oklahoma: NASA Glenn Research Center From, 2007.
[7] Brunell B J. Model adaptation and nonlinear model predictive control of an aircraft engine. Proceeding of ASME Turbo Expo. 2004: 673-682.
[8] Richter H, Singaraju A, Litt J S. Multiplexed predictive control of a large commercial turbofan engine. Journal of Guidance, Control and Dynamics, 2008, 31(2): 273-281.
[9] Yao W R, Sun J G. Nonlinear model predictive control for turboshaft engine. Acta Aeronautica et Astronautica Sinica, 2008, 29(4): 776-780.(in Chinese) 姚文荣, 孙健国. 涡轴发动机非线性模型预测控制. 航空学报, 2008, 29(4): 776-780.
[10] Sun L G, Sun J G, Zhang H B, et al. Torque feed-forward control of engine/helicopter system based on support vector regression. Journal of Aerospace Power, 2011, 26(3): 680-686. (in Chinese) 孙立国, 孙健国, 张海波, 等. 基于支持向量回归机的发动机/直升机扭矩超前控制. 航空动力学报, 2011, 26(3): 680-686.
[11] Zhao Y P, Sun J G. Recursive reduced least squares support vector regression. Pattern Recognition, 2009, 42(5): 837-842.
[12] Lee Y J, Mangasarian O L. RSVM: reduced support vector machines. Proceedings of the First SIAM International Conference on Data Mining. 2001.
[13] Jiao L C, Bo L F, Wang L. Fast sparse approximation for least squares support vector machine. IEEE Transaction on Neural Networks, 2007, 18(3): 685-697.
[14] Li S Q, Yang Z S, Sun J G. Investigation of state feedback control based on internal model principle for a turbo-shaft engine. Journal of Aerospace Power, 2007, 22(5): 829-832. (in Chinese) 李胜泉, 杨征山, 孙健国.基于内模原理的涡轴发动机状态反馈控制方法. 航空动力学报, 2007, 22(5): 829-832.
[15] Li L J. The study of modeling algorithm based on LS-SVM and predictive control algorithm. Hangzhou: Zhejiang University, 2008. (in Chinese) 李丽娟.最小二乘支持向量机建模及预测控制算法研究. 杭州: 浙江大学, 2008.