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一类含阶跃干扰的切换系统最优控制 被引量：2

OPTIMAL CONTROL FOR A CLASS OF SWITCHED SYSTEMS WITH STEP PERTURBATIONS
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摘要 研究了一类含阶跃干扰的切换系统的二次最优控制问题,其中切换系统的切换序列、切换次数固定.采用动态规划方法,利用多级决策和改进的遗传算法来得到最优切换时刻和最优控制输入.最后通过一个数值例子说明了本文方法的有效性. The quadratic optimal control for a class of switched systems with step perturbations was studied, in which the switched sequence and switched number of the system was fixed. By means of dynamic programming principle, a kind of multistage decision processes was proposed, which could obtain the optimal switched time and the optimal control input. The improved genetic algorithm（GA） was utilized to search the optimal time and the optimal control input. A numerical example was given to illustrate the effectiveness of the design approach.
作者 向峥嵘 王春芳
机构地区 南京理工大学自动化学院
出处 《动力学与控制学报》 2008年第2期138-140,共3页 Journal of Dynamics and Control
基金 江苏省自然科学基金项目(BK2007210) 南京理工大学科研发展基金项目(AB96248)~~
关键词 干扰 切换系统 动态规划 遗传算法 perturbation, switched systems, dynamic programming, genetic algorithm
分类号 O232 [理学—运筹学与控制论]
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参考文献7

  • 1[1]Borrellia F,et.al.Dynamic programming for constrained optimal control of discrete-time linear hybrid systems.Automatic,2005,41(10):1709～1721
  • 2[2]Xu X,et.al.Optimal control of switched systems based on parameterization of the switching instants.IEEE Transactions on Automatic Control,2004,49(1):2～16
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同被引文献23

  • 1汪锐,刘建昌,赵军.一类线性不确定切换时滞系统的可靠保成本控制[J].控制理论与应用,2006,23(6):1001-1004. 被引量：14
  • 2洪晓锋,孙洪飞.切换系统容错控制的研究[J].厦门大学学报（自然科学版）,2007,46(2):183-186. 被引量：10
  • 3FARINA L,RINADI S.Positive Linear Systems[Ml. In Wiley Interscience Series,2000.
  • 4BENVENUTI L,FARINA L.Positive and compart- mental systems[J]. IEEE Transactions on Automatic Control, 2002,47(2) : 370-373.
  • 5BENVENUTI L,FARINA L.A tutorial on the posi- tive realization problem[J].IEEE Transactions on Auto- matic Control, 2004,49(5) .- 651-664.
  • 6SHORTEN R,WIRTH F,LEITH D. A positive sys- tems model of TCP-like congestion control.asymptotic results [J].IEEE/ACM Transactions on Networking,2006, 14(3).. 616-629.
  • 7XU X P,ANSTASKLIS P J.Optimal control of switched systems based on parameterization of the switch- ing instants[J].IEEE Transactions on Automatic Control, 2004,49(1):2-16.
  • 8ZAPPAVIGNA A,COLANERI P,GEROMEL J C et al.Stabilization of continuous-time switched linear positive systems[C].Proc.of the American Control Conference, Baltimore, MD, United states, 2010: 3275-3280.
  • 9NAJSON F. State-feedback stab'flizability, optimality and convexity in switched positive linear systems[C].Proc. of the American Control Conference,San Francisco, CA,United states, 2011 ~ 2625-2632.
  • 10DING X Y,SHU L,WANG Z H.On stability.for switched linear positive Systems[J].Mathematical and Com- puter Modelling, 2011,53(5-6): 1044-1055.

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动力学与控制学报
2008年 第2期

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