A canonical parameter space for linear systems design
A canonical parameter space for linear systems design
复制标题
线性系统设计的规范参数空间
DOI：
10.1109/tac.1978.1101744
复制
发表时间：
1978
影响因子：
6.8
通讯作者：
J. Meditch
中科院分区：
文献类型：
--
作者：
A. Fam;J. Meditch
为线性时不变、离散时间系统设计引入了规范参数空间。给定阶数的所有可观测和可控线性系统都显示在该空间中共享一个稳定域。稳定域的这种不变性被证明是解决增益输出反馈稳定性问题和其他重要线性系统设计问题的基础。研究了稳定域的几何性质。其凸包被证明是一个单纯形。我们的方法与 D 分解、根轨迹和其他方法进行了比较。讨论了它在通过增益输出反馈解决稳定性问题和其他重要问题方面相对于这些方法的优势。
A canonical parameter space is introduced for linear time-invariant, discrete-time systems design. All observable and controllable linear systems of a given order are shown to share one stability domain in this space. This invariance of the stability domain is shown to be fundamental to the solution of the gain output-feedback stabilizability problem and other significant linear systems design problems. The geometric properties of the stability domain are investigated. Its convex hull is shown to be a simplex. Our approach is compared to the D -decomposition, the root-locus, and other methods. Its advantages over these methods in attacking the problem of stabilizability by gain output-feedback and other important problems are discussed.