Eigenspace selection procedures for closed loop response shaping with modal control
Eigenspace selection procedures for closed loop response shaping with modal control
复制标题
使用模态控制进行闭环响应整形的特征空间选择程序
DOI：
10.1109/cdc.1980.271775
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
T. Cunningham
中科院分区：
文献类型：
--
作者：
T. Cunningham
讨论了选择闭环特征值和特征向量以实现所需瞬态响应行为的程序。可容许特征向量子空间是用奇异值分解计算的基向量定义的。这些向量被最佳地组合以1）最小化期望特征向量和可实现特征向量之间的向量元素误差，或2）混合控制努力以精确地放置期望特征向量，或3）组合优化。适当的传输零点揭示了特征值和特征向量位置之间的权衡。模态控制通过输出反馈和用户补偿实现特征空间布局目标。两个航空航天实例演示了实现与常规设计规范一致的期望响应特性的技术。
Procedures are discussed for selecting closed loop eigenvalues and eigenvectors to achieve desired transient response behavior. The admissible eigenvector subspace is defined with basis vectors calculated using a singular value decomposition. These vectors are optimally combined to 1) minimize the vector element errors between desired and achievable eigenvectors, or 2) blend the control effort to exactly place desired eigenvectors, or 3) a combined optimization. Appropriate transmission zeros reveal tradeoffs between eigenvalue and eigenvector placement. Modal control ls used to realize the eigenspace placement goals using output feedback and user supplied compensation. Two aerospace examples demonstrate techniques for achieving desired response characteristics consistent with conventional design specifications.