期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

动态区间系统的最优保性能控制——LMI方法 被引量：3

Optimal guaranteed cost control of dynamic interval systems:an LMI approach
下载PDF
导出
摘要 针对动态区间系统和一个给定的二次型性能指标,研究了其保性能控制问题,基于线性矩阵不等式(LMI)提出了最优保性能控制器设计方法,并将相关结果推广到参数不确定系统.利用功能强大的LMI工具,求解非常方便.所给实例表明,该方法用于设计动态区间系统与秩_1型参数不确定系统的最优保性能控制器,非常有效. The guaranteed cost control of dynamic interval systems with a given quadratic cost function is addressed.A design method for the optimal guaranteed cost controller is proposed in terms of linear matrix inequalities(LMIs).The results are also extended to parametric uncertain systems.With the powerful LMI toolbox,it is very convenient to solve these problems.The examples show that this method is effective to design the optimal guaranteed cost controller for dynamic interval systems and rank_1 parametric uncertain systems.
作者 毛维杰 刘征宇
机构地区 浙江大学工业控制技术国家重点实验室先进控制研究所
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2005年第2期177-181,188,共6页 Control Theory & Applications
基金 浙江省自然科学基金资助项目(602055) 国家自然科学基金资助项目(60421002 60004002).
关键词 区间系统 保性能控制 线性矩阵不等式(LMI) interval systems guaranteed cost control linear matrix inequality(LMI)
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
  • 相关文献

参考文献14

  • 1俞立.一类线性离散时滞大系统的分散镇定[J].控制理论与应用,2000,17(1):125-127. 被引量：19
  • 2吴庆宪,王源,姜长生.区间矩阵系统低保守性鲁棒控制器的设计[J].控制理论与应用,2000,17(2):291-295. 被引量：10
  • 3MANSOUR M. Robust stability of interval matrices [ C ]// Proc of the 28th IEEE Conf on Decision and Control. Tampa,Florida,USA:IEEE Control Systems Society, 1989:46- 51.
  • 4SEZER M E, SILJAK D D. On stability of interval matrices [ J ].IEEE Trans on Automatic Control, 1994,39(2) :368 - 371 .
  • 5MAO W J, SUN Y X. Criteria for robust stability of dynamic interval systems [ C ]//Proc of the 35 th IEEE Conf on Decision and Control.Kobe,Japan: IEEE Control Systems Society, 1996:45 - 46.
  • 6MAO W J, CHU J. On quadratic stability of dynamic interval systems [C]//Proc of American Control Conference. Anchorage, AK, USA:American Automatic Control Council,2002:3926- 3930.
  • 7WANG K, MICHEL A N, LIU D. Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices [ J ]. IEEE Trans on Automatic Control, 1994,39 ( 6 ): 1251 - 1 255.
  • 8XIAO Y, UNBEHAUEN R. Robust hurwitz and schur stability test for interval matrices [ C ]//Proc of the 39 th IEEE Conf on Decision and Control. Sydney, Australia: IEEE Control Systems Society, 2000:4209 - 4214.
  • 9YEDAVALLI R K. An improved extreme point solution for checking robust stability of interval matrices with much reduced vertex set and combinatorial effort [ C ] // Proc of American Control Conference. Arlington, VA, USA: American Automatic Control Council, 2001: 3902 - 3907.
  • 10HU S, WANG J. On stabilization of a new class of linear time-invariant interval systems via constant state feedback control [ J ]. IEEE Trans on Automatic Control,2000,45(11) :2106 - 2111.

二级参考文献10

共引文献27

同被引文献25

  • 1徐建明,俞立.鲁棒保性能PI控制器设计[J].吉林大学学报（信息科学版）,2004,22(4):332-335. 被引量：1
  • 2彭瑞,岳继光.区间分析及其在控制理论中的应用[J].控制与决策,2006,21(11):1201-1207. 被引量：13
  • 3FRYXELL D, OLIVEIRA E PASCOAL A, et al. Navigation, guidance and control of auvs: an application to the marius vehicle[J]. Control Engineering Practice, 1996, 4(3): 401 - 409.
  • 4FENG Z, ALLEN R. Reduced order control of an autonomous underwater vehicle[J]. Control Engineering Practice, 2004, 12(12): 1511 - 1520.
  • 5SILVESTRE C, PASCOAL A. Control of the INFANTE AUV using gain scheduled static output feedback[J]. Control Engineering Practice, 2004, 12(12): 1501 - 1509.
  • 6SILVESTRE C, PASCOAL A. Depth control of the INFANTE AUV using gain-scheduled reduced order output feedback[J]. Control Engineering Practice, 2007, 15(7): 883 - 895.
  • 7BIALAS S A. Necessary and sufficient condition for stability of interval matrices[J]. International Journal of Control, 1983, 38(4): 717 - 722.
  • 8SEZER M E, SILJAK D D. On stability of interval matrices[J]. IEEE Transactions on Automatic Control, 1994, 39 (2): 368 - 371.
  • 9WANG K N, ANTHONY N. MICHEL, et al. Necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices[J]. IEEE Transactions on Automatic Control, 1994, 39(6): 1251 - 1255.
  • 10LIU P L. Robust stability of interval dynamic systems with multiple time-delays[J]. Electronics Letters, 2007, 37(20): 1269 - 1270.

引证文献3

二级引证文献3

控制理论与应用
2005年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部