...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>IEEE Transactions on Automatic Control >H∞-optimal control for singularly perturbedsystems. II. Imperfect state measurements
【24h】

H∞-optimal control for singularly perturbedsystems. II. Imperfect state measurements

机译：奇摄动系统的H∞最优控制。二。状态测量不完善

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

For pt.I, see ibid., vol. 29, no. 2, p 401-423 (1993). In this paper we study the H∞-optimal control of singularly perturbed linear systems under general imperfect measurements, for both finite- and infinite-horizon formulations. Using a differential game theoretic approach, we first show that as the singular perturbation parameter (say, ε>0) approaches zero, the optimal disturbance attenuation level for the full-order system under a quadratic performance index converges to a value that is bounded above by (and in some cases equal to) the maximum of the optimal disturbance attenuation levels for the slow and fast subsystems under appropriate “slow” and “fast” quadratic cost functions, with the bound being computable independently of E and knowing only the slow and fast dynamics of the system. We then construct a controller based on the slow subsystem only and obtain conditions under which it delivers a desired performance level even though the fast dynamics are completely neglected. The ultimate performance level achieved by this “slow” controller can be uniformly improved upon, however, by a composite controller that uses some feedback from the output of the fast subsystem. We construct one such controller, via a two-step sequential procedure, which uses static feedback from the fast output and dynamic feedback from an appropriate slow output, each one obtained by solving appropriate ε-independent lower dimensional H∞-optimal control problems under some informational constraints. We provide a detailed analysis of the performance achieved by this lower-dimensional ε-independent composite controller when applied to the full-order system and illustrate the theory with some numerical results on some prototype systems
机译：关于第一点，请参见同上，第一卷。 29号2，p 401-423（1993）。在本文中，我们研究了在有限水平和无限水平状态下，在一般不完美测量下奇摄动线性系统的H∞最优控制。我们首先使用微分博弈论方法证明，当奇异摄动参数（例如ε> 0）接近零时，在二次性能指标下，全阶系统的最佳扰动衰减水平收敛于一个有界值以上在适当的“慢”和“快”二次成本函数下，对慢子系统和快子系统的最佳干扰衰减水平的最大值（在某些情况下等于），最大值是可独立于E计算的，并且仅知道慢和系统的快速动态。然后，我们仅基于慢速子系统构造一个控制器，并获得即使完全忽略快速动力学也能提供理想性能水平的条件。但是，通过使用快速子系统输出的一些反馈的复合控制器，可以统一提高“慢速”控制器达到的最终性能水平。我们通过两步顺序的程序构造一个这样的控制器，该控制器使用来自快速输出的静态反馈和来自适当的慢速输出的动态反馈，每一个都是通过在某些情况下解决与ε独立的低维H∞最优控制问题而获得的信息约束。我们对这种低维ε独立的复合控制器应用于全阶系统时的性能进行了详细分析，并在一些原型系统上用一些数值结果说明了该理论。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号