課程大綱

課程資訊

課程名稱

生物系統狀態變數分析
STAT3 VARIABLE ANALYSIS IN BIOSYSTEMS

開課學期

98-2

授課對象

生物資源暨農學院生物環境系統工程學研究所

授課教師

廖中明

課號

BSE7016

課程識別碼

622 M2920

班次

學分

全/半年

半年

必/選修

選修

上課時間

星期一2,3,4(9:10~12:10)

上課地點

農工金城

備註

總人數上限：20人

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課程概述

1. Time Domain Techniques
Basic terms and definition
Linear time-invarient Systems: Continuous and discrete
Output feedback vs. state feedback

2. State Variables Representation of Systems
Matrix representation of linear state equations
Transfer functions and state variables
Solutions to dx/dt=Ax+Bu

3. State Variables and Linear Continuous Systems
Mode interpretation
The state transition matrix
Controllability and observability

4. State Variables and Linear Discrete-Time Systems
Transfer function matrices
Matrix representation of linear state equation
Controllability and observability

5. Canonical Forms for Representing Linear Systems
The controller canonical form
Design for full-state feedback controllers
Duality

6. Observers and Controllers
Observer design and observer dynamics
Full-state feedback

7. Applications: State Variable Analysis in Biosystems/Living Systems
An optimal feedback control strategy for waste disposal management in agroecosystems
A biomonitoring system design for bioaccumulation control of trace metals in abalone, Haliotis diversicolor supertexta
Dynamic feedback optimization of bioresource management in a polluted ecosystem
Bioenvironmental systems modeling and analysis

課程目標

The purpose of this class is to provide graduate students with the necessary background in feedback control systems.

課程要求

Basic skills in differential and difference equations

預期每週課後學習時數

Office Hours

備註：星期一 15:00 – 16:00

指定閱讀

DeRusso, P. M., R. J. Roy, C. M. Close, and A. A. Desrochers. 1998.
(2nd Ed.) State Variables for Engineers. John Wiley & Sons,
New York, NY

參考書目

Chen CT. (3rd ed) 1999. Linear System Theory and Design. Oxford Press.

評量方式
(僅供參考)

No.	項目	百分比	說明
1.	Homework (5 sets)	50%
2.	Term Paper	50%

課程進度

週次	日期	單元主題
第1週	2/22	Introduction and Syllabus
第2週	3/01	Classification of systems
第3週	3/08	Linear time-invariant system
第4週	3/15	Concept of state-space equation
第5週	3/22	State variable representation systems
第6週	3/29	Matrix form of linear state equations
第7週	4/05	Soultions to dx/dt = Ax + Bu
第8週	4/12	Controllability concept
第9週	4/19	Observability concept
第10週	4/26	The state transition matrix
第11週	5/03	Canonical forms for linear systems
第12週	5/10	Canonical forms for linear systems
第13週	5/17	Design of feedback control systems
第14週	5/24	Applications: State Variable Analysis in Biosystems/Living Systems
第15週	5/31	Applications: State Variable Analysis in Biosystems/Living Systems
第16週	6/07	Class presentation
第17週	6/14	Class presentation