高等線性系統

臺北科技大學 115-1 學期課程，課號 364240。

課程大綱

本課程主要探討多輸入多輸出系統(MIMO)其系統行為之描述，內容包括MIMO系統之穩定性分析、觀察性分析及其控制器設計，並探討MIMO系統的物理觀念及其數學描述的各種方法，是線性系統之進階課程，適合碩士班以上之學生學習。 The main objective of this course is to explore the behaviors of multivariable systems. The contents includes: stability analysis, observability analysis, and controller designs for MIMO linear systems. Besides, we will introduce the physical concept of MMIO linear systems and various methods of describing MIMO linear systems via mathematical model. This is an advanced course to linear system theory, and is especially for graduate students.

課程進度

1. 09/08 Introduction 2. 09/15 STATE-SPACE LINEAR SYSTEMS 3. 09/22 STATE-SPACE LINEAR SYSTEMS 4. 09/29 LINEARIZATION 5. 10/06 LINEARIZATION 6. 10/13 LINEARIZATION 7. 10/20 CAUSALITY, TIME INVARIANCE, AND LINEARITY 8. 10/27 CAUSALITY, TIME INVARIANCE, AND LINEARITY 9. 11/03 Midterm Exam 10. 11/10 IMPULSE RESPONSE AND TRANSFER FUNCTION OF STATESPACE SYSTEMS 11. 11/17 IMPULSE RESPONSE AND TRANSFER FUNCTION OF STATESPACE SYSTEMS 12. 11/24 SOLUTIONS TO LTV SYSTEMS 13. 12/01 SOLUTIONS TO LTV SYSTEMS 14. 12/08 SOLUTIONS TO LTI SYSTEMS 15. 12/15 SOLUTIONS TO LTI SYSTEMS 16. 12/22 SOLUTIONS TO LTI SYSTEMS: THE JORDAN NORMAL FORM 17. 12/29 Paper Presentation (Flexible Teaching Week, Distance learning) 18. 01/05 Paper Presentation (Flexible Teaching Week, Distance learning) PS: The contents will be adjusted according to actual needs

評量方式

- Class participation: 15% - Assignments: 30% (No assignment turned in late will be accepted) - Midterm exam: 25% - Paper Presentation: 30%

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 1. Linear Systems Theory, 1st Edition, Joao P. Hespanha, W. W. Norton & Co., 2009. 2. Linear Systems, 1st Edition, Thomas Kailath, Prentice-Hall, 1980.