現代控制理論

臺北科技大學 115-1 學期課程，課號 363322。

課程大綱

Modern control theory mainly focuses on linear system analysis and design. This is the course where students from a variety of backgrounds begin to acquire the mathematical tools used in research literature involving linear systems. The core material covered in this course is the theory of time-varying linear systems, in both continuous-time and discrete-time, with frequent specialization to the time invariant case. The goals of the course can be summarized as below: 〇 Learning some useful facts about linear systems, emphasizing motivation and significance rather than mathematical formalism. 〇 Learning some useful facts from matrix theory and linear algebra, and seeing them used. 〇 Learning about mathematical reasoning. The course is presented in a standard format of lectures and readings sets. In addition to the closed-book final examination, there will be a number of homework assignments equally spaced over the term. You will be asked to do selected homework questions during class hours for evaluation purpose. Each student is required to make a presentation and submit a report based on a technical paper in related topics. The lecture will be based mainly, but not entirely, on material in the textbook. Course-related information will mainly be distributed via emails. Please make sure to keep us updated about your email addresses.

課程進度

Tentative schedule 暫定課程進度 1 09/08 Course Introduction 2 09/15 Background linear algebra 3 09/22 Mathematical descriptions of systems 4 09/29 Linearization 5 10/06 State-space solutions 6 10/13 System realizations 7 10/20 Stability of LTI systems 8 10/27 Midterm exam 9 11/03 Lyapunov theorem 10 11/10 Stability of LTV systems 11 11/17 Controllability 12 11/24 Observability 13 12/01 Coprime fractions 14 12/08 Minimal realizations 15 12/15 State feedback 16 12/22 Final examination PS: The contents and order of lectures and presentations will be adjusted according to actual needs

評量方式

The final grade will be a weighted average of attendance 10%, in-class open-book homework 20%, midterm 30%, final 30%, flexible learning reports 10%, and in-class performance credits evaluated by Professor.

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 Linear System Theory and Design - Fourth Edition, Chi-Tsong Chen, Oxford University Press, 2012