最佳控制

臺北科技大學 114-2 學期課程，課號 359222。

課程大綱

本課程主要介紹最佳控制之相關原理與應用，內容包括如下：最佳控制簡介，性能指標，動態規劃法，變分法, 變分法在最佳控制之應用，最佳控制之數值解與個案研究等。 English Description: This subject is arranged to introduce the principles and applications of optimal control. The subject includes the following subtopics: introduction of optimal control, performance measure, dynamic programming, calculus of variations, variational approach to optimal control problems, numerical solution of optimal control, and case studies.

課程進度

1. 02/23 INTRODUCTION 2. 03/02 STATIC OPTIMIZATION 3. 03/09 STATIC OPTIMIZATION 4. 03/16 OPTIMAL CONTROL OF DISCRETE-TIME SYSTEMS 5. 03/23 OPTIMAL CONTROL OF DISCRETE-TIME SYSTEMS 6. 03/30 OPTIMAL CONTROL OF DISCRETE-TIME SYSTEMS 7. 04/06 OPTIMAL CONTROL OF DISCRETE-TIME SYSTEMS 8. 04/13 OPTIMAL CONTROL OF DISCRETE-TIME SYSTEMS 9. 04/20 Midterm Exam 10. 04/27 OPTIMAL CONTROL OF CONTINUOUS-TIME SYSTEMS 11. 05/04 OPTIMAL CONTROL OF CONTINUOUS-TIME SYSTEMS 12. 05/11 THE TRACKING PROBLEM AND OTHER LQR EXTENSIONS 13. 05/18 THE TRACKING PROBLEM AND OTHER LQR EXTENSIONS 14. 05/25 THE TRACKING PROBLEM AND OTHER LQR EXTENSIONS 15. 06/01 FINAL-TIME-FREE AND CONSTRAINED INPUT CONTROL 16. 06/08 FINAL-TIME-FREE AND CONSTRAINED INPUT CONTROL 17. 06/15 Paper presentation & Final Project 18. 06/22 Paper presentation & Final Project 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: 20% - Paper presentation & Final Project: 35%

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. Lewis & Vrabie & Syrmos, Optimal Control 3/E, WILEY, 2012. 2. Belegundu, A., & Chandrupatla, T., Optimization Concepts and Applications in Engineering (3rd ed.). Cambridge: Cambridge University Press. 2019.