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输入滞后和状态滞后系统的鲁棒H控制

夏红伟 凌明祥 温奇咏 王常虹

夏红伟, 凌明祥, 温奇咏, 等 . 输入滞后和状态滞后系统的鲁棒H∞控制[J]. 北京航空航天大学学报, 2007, 33(07): 816-820.
引用本文: 夏红伟, 凌明祥, 温奇咏, 等 . 输入滞后和状态滞后系统的鲁棒H控制[J]. 北京航空航天大学学报, 2007, 33(07): 816-820.
Xia Hongwei, Ling Mingxiang, Wen Qiyong, et al. Robust H∞ control for systems with delayed state and input[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(07): 816-820. (in Chinese)
Citation: Xia Hongwei, Ling Mingxiang, Wen Qiyong, et al. Robust H control for systems with delayed state and input[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(07): 816-820. (in Chinese)

输入滞后和状态滞后系统的鲁棒H控制

详细信息
    作者简介:

    夏红伟(1979-),男,山东平度人,博士生,simonxhw@163.com.

  • 中图分类号: TP 13

Robust H control for systems with delayed state and input

  • 摘要: 针对一类具有状态滞后、输出滞后和凸多面体不确定性的连续时间系统,研究了时滞依赖型鲁棒H控制器的设计问题.通过引入两个附加的松弛矩阵使Lyapunov矩阵和系统矩阵得到分离,得到一个新的鲁棒H性能判据,并基于该判据设计了系统的鲁棒H状态反馈控制器.设计的状态反馈控制器不但保证闭环系统的二次稳定性,同时使系统的H范数小于一个给定的衰减水平.并且设计了一个迭代算法得到问题的次最优解.指出了一种可以在现有的研究成果的基础上得到新的具有更低保守性的性能准则的有效途径.最后通过一个数值算例验证了所提出算法的可行性和优越性.

     

  • [1] 李彤, 贾英民. 不确定时滞关联大系统的分散鲁棒可靠H控制[J]. 北京航空航天大学学报, 2005, 31(5):587-591 Li Tong, Jia Yingmin. Decentralized robust H reliable control of uncertain interconnected systems with delays in subsystems interconnection [J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(5):587-591(in Chinese) [2] 丁能根, 潘为民, 刘竹清. 线性板簧的迟滞特性对车辆平顺性影响[J]. 北京航空航天大学学报, 2005, 31(3):355-358 Ding Nenggen, Pan Weimin, Liu Zhuqing. Influence of linear leaf springs′ hysteresis behavior on vehicle-s ride[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(3):355-358 (in Chinese) [3] 廖道争, 张明廉. 一类非线性系统的鲁棒拟人智能控制[J]. 北京航空航天大学学报, 2006, 32(7):793-797 Liao Daozheng, Zhang Minglian. Robust human- imitating intelligent control for a class of nonlinear systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(7):793-797 (in Chinese) [4] Gao H J, Wang C H. A delay-dependent approach to robust filtering for uncertain discrete-time state-delayed systems[J]. IEEE Transactions Signal Processing, 2004, 52(6):1631-1640 [5] Jeung E T, Kim J H, Park H B. H-infinity output feedback controller design for linear systems with time-varying delayed state[J]. IEEE Transactions on Automatic Control, 1998, 43(7):971-974 [6] Kim J H, Park H B. H state feedback control for generalized continues/discrete time-delay systems[J]. Automatic, 1999, 35(8):1443-1451 [7] Xu S Y, Lam J, Yang C W, et al. An LMI approach to guaranteed cost control for uncertain linear neutral delay systems[J]. International Journal Robust Nonlinear Control, 2003, 13(1):35-53 [8] Lee Y S, Moon Y S, Kwon W H, et al. Delay-dependent robust H control for uncertain systems with a state-delay[J]. Automatic, 2004, 40(1):65-72 [9] Cui B T, Hua M G. Robust passive control for uncertain discrete-time systems with time-varying delays[J]. Chaos, Solitons and Fractals, 2006, 29(2):331-341 [10] Gao H, Wang C. New approaches to robust l2-l and H iltering for uncertain discrete-time systems[J]. Science in China (Series F), 2003, 46(5):355-370 [11] Apkarian P, Tuan H D, Bernussou J. Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations[J]. IEEE Transactions on Automatic Control, 2001, 46(12):1941-1946
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出版历程
  • 收稿日期:  2006-06-29
  • 网络出版日期:  2007-07-31

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