博士班資格考考試範圍

控制組(丁組)

 

數位控制

Z-轉換，傳統控制系統數位設計，近代控制系統數位設計，參數識別，適應與最佳控制簡介。

線性系統理論

Linear space and linear systems, Input-output description of system and convolution integral, State space equations and solution, Composite systems, Controllability and observability, Equivalent dynamic system and similarity

transformation, Canonical form and modal analysis, Canonical decomposition, Jordan form, Irreducible realization, Pole assignment and Ackerman’s formula, State feedback and observer, Integral control with state feedback, Stability

of linear systems,

非線性控制系統

Phase plane analysis, Lyapunov stability theory, Feedback linearization techniques, Sliding control, Backstepping design, Multiple surface sliding control, Adaptive control of nonlinear systems, Lyapunov redesign, Input-output stability, Input-state stability, Passivity, Dissipativity, Nonlinear

observers, Nonlinear optimal control, Nonlinear realization theory, Nonlinear model reduction, Nonlinear parameter identification, Reachability and Controllability, Discrete-time nonlinear system theory, Multi-rate design in

nonlinear system control, Multi-variable nonlinear system theory, Spectrum analysis of nonlinear systems, Stochastic nonlinear system theory, Large-scale nonlinear system theory, Predictive design to nonlinear systems, Nonholonomic

nonlinear system design, Underactuated nonlinear system design, Redundant nonlinear system design, Nonlinear servomechanism problem, Application of approximation theory in nonlinear system design

 電腦自動控制系統

Mechatronics Systems (Definitions of Mechatronics System, Examples Discussion about Mechatronics System, The Near Future Development of Mechatronics System), Analysis &Design of Digital Circuits (Fundamental of Logic Gates, Analysis of Digital Circuit for Mechnical control systems, Analysis of OP

Ampifier Analogous Circuits, C Programming Languages (Introduction of Visual C++, Syntax and Usage of Visual C++, Application Example of Visual C++ ), Firmwares of Interface cards (Firmware of 8255 I/F card, Firmware of Servo

control I/F card, Firmware of optical encoder I/F card), The Control of Actuators (Control method of Stepping motor, Control method of DC servo motor)

 電機控制

直流馬達、同步馬達、感應馬達特性分析，電壓／頻率控制、向量控制，轉換器及變頻器之設計及分析。

人工智慧特論

1.     Bayes’ Rule and Its Application to Classification

2.     Maximum Likelihood Parameter Learning

3.     Nearest Neighbor and k-Means for Classification

4.     Single-Layer Feed-Forward Neural Network for Learning and Classification

最佳控制(一)

1.         Calculus of variations

2.         Parameter optimization problems

3.         Optimization problems for dynamic systems and problems with path constraints

4.         Linear systems with quadratic criteria: linear feedback

5.         Neighboring extremals and the second variation

6.         Linear quadratic regulator

7.         Kalman filter

8.         LQG Control and LTR

9.         Dynamic programming

10.    Pontryagin’s Minimum Principle

References:

1.     Applied Optimal Control: Optimization, Estimation and Control, by Bryson and Ho, Taylor and Francis, 1975

2.     Linear Optimal Control: H₂ and H_弃 Methods by Jeffrey Burl, Addison-Wesley, 1999

3.     Applied Optimal Control and Estimation: Digital Design and Implementation /F.L. Lewis, Prentice-Hall, c 1992

4.     Optimal Control: Linear Quadratic Methods /B.D.O. Anderson and J.B. Moore, Prentice-Hall, c 1990