Design of Approximative Guidance Law Based on Receding Stochastic Predictive Control

LI Rui;FANG Yang-wang;XUAN Yong-bo;WANG Yong;ZHANG Ping

CN Submission Journal Articles Figures Search
Adv. Search

  • Sponsored by:

    Editor-In-Chief:

    ISSN 1004-499X

    　

  • Hosted By:

    Published By: Journal Of Ballistics

    CN 32-1343/TJ

Journal Of Ballistics ›› 2012, Vol. 24 ›› Issue (2) : 15-19.

Design of Approximative Guidance Law Based on Receding Stochastic Predictive Control

  • LI Rui, FANG Yang-wang, XUAN Yong-bo, WANG Yong, ZHANG Ping
Author information +
History +

Abstract

Aiming at stochastic discrete linear system with bounded disturbance,a finite-horizon receding predictive state feedback control with recursive form was proposed by constructing a close formation for stochastic predictive cost function and using the stochastic minimum principle.A continuous predictive control algorithm was proposed by continuous approximation method,which was applied in guidance law.In order to avoid two-point boundary value problem and computation burden,an approximative guidance law algorithm was deduced.The simulation result shows that the guidance law has trajectory prediction function;the guidance law has smaller overload in the ending phase of trajectory compared with PNG and SPN.

Key words

receding stochastic predictive control / stochastic minimum principle / continuous approximation / guidance law

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
LI Rui, FANG Yang-wang, XUAN Yong-bo, WANG Yong, ZHANG Ping. Design of Approximative Guidance Law Based on Receding Stochastic Predictive Control. Journal Of Ballistics. 2012, 24(2): 15-19

References

[1] MAYNED Q,SERON M M,RAKOVICSV.Robustmodelpredictivecontrolofconstrainedlinearsystemswithboundeddisturbances[J].Automatic,2005,(14):219-224.
[2] 耿晓军,席裕庚.不确定系统的滚动时域H∞ 控制[J].控制与决策,2000,2(15):149-152.GENGXiao-jun,XIYu-geng.RecedinghorizonH∞ controlforsystemswith uncertainty[J].Controland Decision,2000,2(15):149-152.(inChinese)
[3] CHATTERJEE D.Stochasticreceding horizoncontrolwithboundedcontrolinputs—avector-spaceapproach[J].IEEETransactionsonAutomaticControl,2011,(56):2704-2710.
[4] HOKAYEM P.Onstochastic modelpredictivecontrolwithboundedcontrolinputs[C].Proceedingsofthecombined48thIEEE Conferenceon Decision & Controland28th ChineseControlConference.Shanghai,China:IEEE,2009:6359-6364.
[5] 李锐,方洋旺,张平,等.随机预测控制及其在导弹制导中的应用[J].弹道学报,2011,23(2):6-10.LIRui,FANG Yang-wang,ZHANG Ping,etal.Stochasticpredictivecontrolandit’sapplicationonmissile’sguidance[J].JournalofBallistics,2011,23(2):6-10.(inChinese)
[6] KWON W H,HANS.Reedinghorizonfinitememorycontrolsofoutputfeedbackcontrolsforstatespacesystems[J].IEEETransAutomaContr,2004,(49):1905-1915.
[7] BERTSEKAS D P.Dynamic programming and suboptimalcontrol:asurveyfrom ADPto MPC[J].EuropeanJournalofControl,2005,(11):4-5.
[8] PARKJH,HANS.LQtrackingcontrolswithfixedterminalstatesandtheirapplicationtorecedinghorizoncontrols[J].Systems& ControlLetters,2008,(57):772-777.
[9] 方洋旺.随机系统最优控制[M].北京:清华大学出版社,2005.FANGYang-wang.Optimalcontrolforstochasticsystem[M].Beijing:TsinghuaUniversityPress,2005.(inChinese).
[10]李兆强,周德云.基于模型参考的无抖振离散变结构导引律研究[J].系统工程与电子技术,2009,31(10):2426-2428.LIZhao-qiang,ZHOU De-yun.A kindofnon-buffetdiscretevariablestructureguidancelawbasedon modereference[J].SystemsEngineeringandElectronics,2009,31(10):2426-2428.(inChinese)

Collection(s)

Guidance

8

Accesses

0

Citation

Detail
Sections
Recommended

/

〈 〉