一类非理想切换系统的H<sub>∞</sub>控制器设计

李玮; 王青; 董朝阳

doi:10.13700/j.bh.1001-5965.2013.0665

一类非理想切换系统的H_∞控制器设计

doi: 10.13700/j.bh.1001-5965.2013.0665

1.
北京航空航天大学自动化科学与电气工程学院, 北京 100191
2. 北京航空航天大学航空科学与工程学院, 北京 100191

基金项目: 国家自然科学基金资助项目(61273083)

详细信息

作者简介:
李玮(1986-),男,河北河间人,博士生,liwei1900@gmail.com.

中图分类号: TP273
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- 文章访问数: 747
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- 被引次数: 0
出版历程
- 收稿日期: 2013-11-19
- 网络出版日期: 2014-10-20

H_∞ controller design for a class of nonideal switched systems

1.
School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
2. School of Aeronautical Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

摘要

摘要: 针对实际物理过程中普遍存在的动力学切换现象,提出一类具有平滑切换过程的非理想切换系统模型,并研究其鲁棒H_∞切换控制器设计方法.基于平均驻留时间方法与积分不等式理论,得到保证非理想切换系统渐近稳定且满足给定L₂增益的充分条件.在此基础上,以线性矩阵不等式形式给出H_∞切换控制器的设计准则.所提非理想切换系统较之理想切换系统更具一般性,故所得控制方法同样适用于理想切换系统.变体飞行器跟踪控制的应用实例表明,基于设计方法得到的控制器在保证系统稳定性与跟踪性能的同时,对系统参数摄动具有较强的鲁棒性.
- 切换系统 /
- 平滑切换 /
- H_∞控制 /
- 不确定性 /
- 鲁棒控制
Abstract: A class of smoothly switched system model was proposed to describe the phenomena of dynamics switching that generally occured in real-world processes, and the problem of robust H_∞ switching controller design was investigated for systems of this kind. Based on the average dwell time method and the differential inequality theory, the sufficient condition was presented such that asymptotic stability and some given L₂ gain are guaranteed for the smoothly switched system. The design criterion of the robust H_∞ switching controller was further obtained in terms of linear matrix inequalities. The smoothly switched system model covers the prevailing switched system model as a special case; therefore the controller synthesis method in this note is applicable to traditional switched systems. A design example on a morphing aircraft illustrates that the resultant tracking control system qualifies well robustness against parameter uncertainties while possessing stability and acceptable tracking performance.
- switched systems /
- smooth switching /
- H_∞ control /
- uncertainties /
- robust control

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参考文献(15)

[1]	Lin H,Antsaklis P J.Stability and stabilizability of switched linear systems: a survey of recent results[J].IEEE Transactions on Automatic Control,2009,54(2):308-322
[2]	Sun Z D,Ge S S.Analysis and synthesis of switched linear control systems[J].Automatica,2005,41(2):181-195
[3]	Zhang W,Hou Y Z,Liu X B,et al.Switched control of three-phase voltage source PWM rectifier under a wide-range rapidly varying active load[J].IEEE Transactions on Power Electronics,2012,27(2):881-889
[4]	Lu Q G,Zhang L X,Shi P,et al.Control design for a hypersonic aircraft using a switched linear parameter-varying system approach[J].Proceedings of the Institution of Mechanical Engineers,Part I:Journal of Systems and Control Engineering,2012,227(1):85-95
[5]	Huang X Y,Wang Q,Wang Y L,et al.Adaptive augmentation of gain-scheduled controller for aerospace vehicles[J].Journal of Systems Engineering and Electronics,2013,24(2):272-280
[6]	Huang Y Q,Sun C Y,Qian C S,et al.Non-fragile switching tracking control for a flexible air-breathing hypersonic vehicle based on polytopic LPV model[J].Chinese Journal of Aeronautics,2013,26(4):948-959
[7]	Lian J,Feng Z,Shi P.Robust H_∞ filtering for a class of uncertain stochastic hybrid neutral systems with time-varying delay[J].International Journal of Adaptive Control and Signal Processing,2013,27(6):462-477
[8]	Shi S H,Zhang Q L,Yuan Z H.Exponential stability and L₂-gain analysis for a class of faulty systems[J].International Journal of System Science,2011,42(3):377-387
[9]	Zhang L X,Boukas E K,Shi P,et al.A μ-dependent approach to H_∞ control of uncertain switched linear systems with average dwell time[J].Optimal Control Applications and Methods,2011,32(1):15-27
[10]	Xiang W M,Xiao J.Discussion on “stability,l₂-gain and asynchronous H_∞ control of discrete-time switched systems with average dwell time”[J].IEEE Transactions on Automatic Control,2012,57(12):3259-3261
[11]	Boskovic J D,Jackson J A,Mehra R K,et al.Multiple-model adaptive fault-tolerant control of a planetary lander[J].Journal of Guidance,Control and Dynamics,2009,32(6):1812-1826
[12]	Seigler T M,Neal D A,Bae J S,et al.Modeling and flight control of large-scale morphing aircraft[J].Journal of Aircraft,2007,44(4):1077-1087
[13]	Khargonekar P P,Petersen I R,Zhou K M.Robust stabilization of uncertain linear systems:quadratic stabilization and H_∞ control theory[J].IEEE Transactions on Automatic Control,1990,35(3):356-361
[14]	Seigler T M.Dynamics and control of morphing aircraft[D].Blacksburg:Virginia Polytechnic Institute and State University,2005
[15]	Liao F,Wang J L,Yang G H.Reliable robust flight tracking control: an LMI approach[J].IEEE Transaction on Control Systems Technology,2002,10(1):76-89