A comprehensive introduction to the geometric theory of linear multivariable systems

Commault C.; Dion J.-M.

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A comprehensive introduction to the geometric theory of linear multivariable systems

机译：线性多变量系统的几何理论的全面介绍

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A simple tutorial introduction to the geometric theory of linear multivariable control is presented. This corresponds to approximately three two-hour lectures in a graduate-level course. The authors emphasise the intuitive control interpretation of the main geometric concepts. To this end, the authors focus interest on trajectory formulation for subspace invariance and discrete-time interpretation of the basic subspaces and their construction algorithms. Application of geometric theory for solving the disturbance decoupling problem is illustrated via two pedagogical examples.

机译：介绍了线性多变量控制的几何理论的简单教程。这相当于一个研究生课程中大约三个两小时的讲座。作者强调了主要几何概念的直观控制解释。为此，作者将注意力集中在子空间不变性的轨迹公式化以及基本子空间及其构造算法的离散时间解释上。通过两个教学实例说明了几何理论在解决干扰解耦问题中的应用。

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《IEEE Transactions on Education》 |1992年第1期|P.92-97|共6页
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Commault C.; Dion J.-M.;
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正文语种 eng
中图分类电工技术;
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1. Introduction to a special coordinate basis for multivariable linear systems [J] . Berg M.C. IEE Proceedings. Part D . 1998,第2期

机译：多变量线性系统的特殊坐标基础简介
2. Introduction to a special coordinate basis for multivariable linear systems [J] . M .C. Berg IEE Proceedings. Part D . 1998,第2期

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3. Geometric Theory of Differential Systems: Linearization Criterion for Systems of Second-Order Ordinary Differential Equations with a 4-Dimensional Solvable Symmetry Group of the Lie-Petrov Type VI_1 [J] . A. V. Aminova, N. A.-M Aminov Journal of Mathematical Sciences . 2009,第2期

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4. A General Theory of "Multivariable" Servo-Tracking Control-Design For MIMO Linear Dynamical Systems; Framework for a Unified Theory of Modern Linear Control? [C] . C. D. Johnson Southeastern Symposium on System Theory . 2006

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5. THE DESIGN OF LINEAR MULTIVARIABLE CONTROL SYSTEMS USING MODERN CONTROL THEORY. [D] . SLIVINSKY, CHARLES ROBERT. 1969

机译：基于现代控制理论的线性多元控制系统设计。
6. Retracted: Analysis of Pull-In Instability of Geometrically Nonlinear Microbeam Using Radial Basis Artificial Neural Network Based on Couple Stress Theory [O] . Computational Intelligence and Neuroscience 2018

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7. Geometric Methods for Invariant-Zero Cancellation in Linear Multivariable Systems: Illustrative Examples [O] . Zattoni, Elena 2013

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8. Multivariable Sectors and Nonlinear Stability. Part 1: The Use of Sectors in the Derivation of Stability Criteria for Nonlinear Multivariable Systems [R] . Husband, R., Kouvaritakis, B. 1981

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A comprehensive introduction to the geometric theory of linear multivariable systems

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