CML/AE/NTU FALL, 1999

SYLLABUS

生物系統狀態變數分析
State Variable Analysis in Biosystems

Instructor: Chung-Min Liao, Department of Agricultural Engineering, National
Taiwan University, Taipei, Taiwan R.O.C.

Textbook: 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.

Main Topics:

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

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


Selected References Readings

1. Liao, C. M. and J. J. R. Feddes. 1990. Mathematical analysis of lumped-parameter model describing the behavior of airborne dust in animal housing. Applied Mathematical Modelling 14: 248-257.

2. Liao, C. M. and J. J. R. Feddes. 1992. A lumped-parameter model for predicting airborne dust concentration in a ventilated airspace. Transactions of the ASAE 35(6): 1973-1978.

3. Liao, C. M. 1995. An optimal thermal destratification control system synthesis in aquaculture ponds. Applied Mathematical Modelling 19: 278-286.

4. Liao, C. M. and D. S. Bundy. 1995. Quantification of ventilation on distribution of gaseous pollutants emitted from stored swine manure. Journal of Environmental Science and Health B30(6): 859-893.

5. Liao, C. M. 1996. Model to predict human and pig exposure to gaseous contaminants emitted from stored manure. Applied Mathematical Modelling 20: 731-740.

6. Liao, C. M. and W. Z. Lin. 1997. An optimal feedback control strategy for waste disposal management in agroecosystems. Applied Mathematical Modelling 21: 165-174.

Grading Policy

1. Homework (5 sets): 50%
2. Term Paper: 50%