Volume 31 Issue 6
Jun.  2016
Turn off MathJax
Article Contents
Article Navigation >  Journal of Aerospace Power  > 2016  >  31(6): 1460-1468
WU Bin, HUANG Jin-quan. Self-scheduled control method for aero-engine based on sum of squares programming of polynomial[J]. Journal of Aerospace Power, 2016, 31(6): 1460-1468. doi: 10.13224/j.cnki.jasp.2016.06.023
Citation: WU Bin, HUANG Jin-quan. Self-scheduled control method for aero-engine based on sum of squares programming of polynomial[J]. Journal of Aerospace Power, 2016, 31(6): 1460-1468. doi: 10.13224/j.cnki.jasp.2016.06.023
shu

Self-scheduled control method for aero-engine based on sum of squares programming of polynomial

doi: 10.13224/j.cnki.jasp.2016.06.023

  • 1. Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;

  • 2. Aviation Motor Control System Institute, Aviation Industry Corporation of China, Wuxi Jiangsu 21406;

  • 3. Collaborative Innovation Center for Advanced Aero-Engine, Beijing 100191, China

  • Received Date: 2014-09-25
  • Publish Date: 2016-06-28
    Abstract
  • Given that existing LPV(linear parameter varying) controller design methods is for affine system but not for polynomial LPV system, a self-scheduled control method based on SOS(sum of squares)programming was put forward for the high pressure rotor speed and pressure ratio controller design.The state-space models were obtained under different rotor speeds by non-linear model, and then these state-space models were used to get engine LPV model by polynomial fitting method. A self-scheduled control structure was proposed to ensure no static error. Combining bounded real theory with SOS theory, the robust stability conditions of the closed-loop system were obtained as SOS constraints, leading to the SOS programming to get gain scheduled controller. LPV model and engine nonlinear model were both used to examine the controller. Results show that the settling time of the high-pressure rotor speed/engine pressure ratio control system is less than 2s, and the steady state error is less than 0.1 percent.

     

    • FullText(HTML)
  • loading
    • References(21)
  • [1]
    吴君凤,郭迎清.发动机稳态与过渡态控制集成设计仿真验证[J].航空动力学报,2013,28(6):1436-1440. WU Junfeng,GUO Yingqing.Design and simulation of aero-engine steady-state and transient-state control integration[J].Journal of Aerospace Power,2013,28(6):1436-1440.(in Chinese)
    [2]
    黄金泉,仇小杰,鲁峰,等.航空发动机性能恢复控制方法[J].航空动力学报,2012,27(7):1595-1604. HUANG Jinquan,QIU Xiaojie,LU Feng,et al.Per-formance recovery control method for aircraft engine[J].Journal of Aerospace Power,2012,27(7):1595-1604.(in Chinese)
    [3]
    王曦,林永霖,吴永康.H∞控制在飞行/推进综合控制系统中的应用[J].航空动力学报,2004,19(5):695-702. WANG Xi,LIN Yonglin,WU Yongkang.H∞ control applied in integrated flight and propulsion control systems[J].Journal of Aerospace Power,2004,19(5):695-702.(in Chinese)
    [4]
    Bumroongsri P,Kheawhom S.MPC for LPV systems based on parameter-dependent Lyapunov function with perturbation on control input strategy[J].Engineering Journal,2012,16(2):61-72.
    [5]
    Lu B,Wu F.Switching LPV control for high performance tactical aircraft[R].AIAA-2010-7903,2010.
    [6]
    Li S Q,Zhang S X.A modified LPV modeling technique for turbofan engine control system[R].Taiyuan:International Conference on Computer Application and System Modeling,2010.
    [7]
    Giarre L,Bauso D,Falugi P,et al.LPV model identification for gain scheduling control:an application to ro-tating stall and surge control[J].Control Engineering Practice,2006,14(4):351-361.
    [8]
    Jean B L.Global optimization with polynomials and the problem of moments[J].Society for Industrial and Applied Mathematics,2001,11(3):796-817.
    [9]
    Scherer C W.LMI relaxation in robust control[J].European Journal of Control,2006,12(1):3-29.
    [10]
    Anirudha M,Amir A A,Russ T.Control design along trajectories with sums of squares programming[R].Karlsruhe:International Conference on Robotics and Automation,2013.
    [11]
    Kazuo T,Hiroto Y,Hiroshi O,et al.A sum of squares approach to modeling and control of nonlinear dynamical systems with polynomial fuzzy systems[J].IEEE Transactions On Fuzzy Systems,2009,17(4):911-922.
    [12]
    Karin G,Pablo A P.Symmetry groups,semidefinite programs and sums of squares[J].Journal of Pure and Applied Algebra,2004,192(1/2/3):95-128.
    [13]
    Wu F,Prajna,S.A new solution approach to polynomial LPV system analysis and synthesis[R].Boston:American Control Conference,2004.
    [14]
    Wu F,Packard A,Gary B.Systemmatic gain-scheduling control design:a missile autopilot example[J].Asian Journal of Control,2002,4(3):341-347.
    [15]
    韩小宝,王仲生.涡扇发动机早期退化性能的线性变参数估计[J].航空动力学报,2009,24(1):98-103. HAN Xiaobao,WANG Zhongsheng.Linear parameter varying estimation for early deteriorated turbofan engine performance parameter[J].Journal of Aerospace Power,2009,24(1):98-103.(in Chinese)
    [16]
    孙立国,孙健国,张海波,等.基于直升机/发动机非线性综合仿真模型的增广LQR控制器设计[J].航空动力学报,2010,25(2):471-477. SUN Liguo,SUN Jianguo,ZHANG Haibo,et al.Augmented linear quadratic regulator controller design based on non-linear integrated helicopter/ engine model[J].Journal of Aerospace Power,2010,25(2):471-477.(in Chinese)
    [17]
    Ufuk T,Andrew P,Peter S,et al.Stability region analysis using simulations and sum-of-squares programming[R].New York:American Control Conference,2007.
    [18]
    Wilfried G,Didier H,Jacques B,et al.Polynomial LPV synthesis applied to turbofan engines[J].Control Engineering Practice,2010,18(9):1077-1083.
    [19]
    Dimitri P B.Nonlinear programming[M].Nashua:Athena Scientific,1999.
    [20]
    Nan L,Jinquan H,Feng L.Multivariable PID parameters tuning method based on model matching on frequency domain for aero-engine[R].Wollongong:International Conference on Advanced Intelligent Mechatronics(AIM),2013.
    [21]
    樊思齐.航空发动机控制:下册 [M].西安:西北工业大学出版社,2008.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF(1222.0KB)
    XML

    Article Metrics

    Article views (1203) PDF downloads(656) Cited by()
    Proportional views
    Related

    Copyright © 《Journal of Aerospace Power》 All Rights Reserved.

    Supported by: Beijing Renhe Information Technology Co., Ltd.  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return