...
  • 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 >Dampening controllers via a Riccati equation approach
【24h】

Dampening controllers via a Riccati equation approach

机译：通过Riccati方程方法阻尼控制器

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

An algorithm is presented which computes a state feedback for a standard linear system which not only stabilizes, but also dampens the closed-loop system dynamics. In other words, a feedback gain matrix is computed such that the eigenvalues of the closed-loop state matrix are within the region of the left half-plane where the magnitude of the real part of each eigenvalue is greater than that of the imaginary part, This may be accomplished by solving a damped algebraic Riccati equation and a degenerate Riccati equation. The solution to these equations are computed using numerically robust algorithms, Damped Riccati equations are unusual in that they may be formulated as an invariant subspace problem of a related periodic Hamiltonian system. This periodic Hamiltonian system induces two damped Riccati equations: one with a symmetric solution and another with a skew symmetric solution. These two solutions result in two different state feedbacks, both of which dampen the system dynamics, but produce different closed-loop eigenvalues, thus giving the controller designer greater freedom in choosing a desired feedback
机译：提出了一种算法，该算法可以为标准线性系统计算状态反馈，该算法不仅可以稳定系统，而且可以抑制闭环系统动力学。换句话说，计算一个反馈增益矩阵，以使闭环状态矩阵的特征值在左半平面的区域内，在该区域中，每个特征值的实部值大于虚部值，这可以通过求解阻尼代数Riccati方程和简并的Riccati方程来实现。这些方程的解是使用数值鲁棒算法来计算的，阻尼Riccati方程是不寻常的，因为它们可被表述为相关周期哈密顿系统的不变子空间问题。这个周期性的哈密顿系统推导了两个阻尼的Riccati方程：一个具有对称解，另一个具有倾斜对称解。这两种解决方案产生两种不同的状态反馈，这两种状态反馈都会抑制系统动力学，但会产生不同的闭环特征值，从而使控制器设计人员在选择所需反馈时拥有更大的自由度。

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