# Control Theory and Control Engineering (Secondary Discipline) ( M.S. )

### 1. Training/Research Orientation

• Control Theory and Control Engineering

### 2. Program Duration and Credit

Three years generally, the maximum school years are not longer than 5 years (including the extension time).
35 redits of courses in total, at least 24 credits of academic courses.

### 3. Core Courses and Introduction

Technology and Application of Embedded System
This course is a concrete understanding and application of digital control technology based on previous related courses. Through the study of the basic concept, hardware structure, operating system, engineering module and development process of embedded system（ARM or DSP), foundation has been made for future related research and development work.
Through the study of the course, firstly, students can understand the basic concepts, characteristics and classification of embedded system technology and then grasp the basic methods of the embedded system software and hardware design. Students can either learn how to analyze current popular ARM-based embedded microprocessor and open-source code real-time operating systems C/OS in detail or have a basic understanding of the DSP chip technology, hardware structure, instruction system and special instructions by learning this course thoroughly. Students can also be familiar with the development process of digital signal processing and controller design using DSP chips. Finally, combined with the specific development experiment of embedded system, students can grasp the design and development methods of the embedded systems.

Modern Mathematics Technology and It’s Engineering Applications
In various fields of science and technology, many problems are commonly described by relative mathematical models based on matrix. However, it is difficult to get all the exact solutions of the established mathematical model in many cases. So based on the former courses, Modern Mathematics and Its Application mainly includes Numerical Analysis and Matrix theory and their applications:
The main content of Numerical Analysis is the numerical methods of partial differential equations and its application. With some practical cases, the skill and the method to solve those mathematical models describing the science problems or the practical applications will be discussed in this course.
The main content of Matrix Analysis is matrix function, matrix calculus, positive definite matrix and matrix inequality and their applications. This course carries out diverse methods, such as teaching theoretical knowledge, explaining mathematical examples, and organizing group discussions to find practical problem-solving methods, to ultimately reach the objectives.

Computer Aided Engineering Design
Computer aided engineering design is the study of computer simulation software for dynamic system modeling, controlling, and designing of the course. By discussing the problem of the control system computer aided design and simulation of method and its application in engineering practice by the SIMULINK/MATLAB, graduate students are normally expected to obtain the ability of scientific thinking, scientific innovation, as well as to solve practical problems. Course is taught in the form of thematic lectures as well as of related experiments for the dynamic system modeling, controlling and designing based by SIMULINK/MATLAB. The contents include:

• the SIMULINK and the basic methods of the dynamic system modeling, controlling and designing are lectured by special form;
• through researching on dynamic system modeling and simulation by doing a variety of experiment, the relevant experiments and research design and analysis reports are submitted;
• depending on the different professional directions, each research group (2-3 people) should work together to develop the project, cooperate to complete it, and eventually respond by taking the interview.

Linear Control System Theory
Linear Control System Theory is one of the most basic theoretical courses in the subject of Control Science and Engineering, which is the basis of further study for other series required courses in control theory. And it helps to improve the scientific logical thinking ability and scientific innovation ability of the graduate student. The contents include:

• The introduction of linear control system, state space description, and the usage of linear system in the practical problems
• the motion analysis, controllability and observability analysis of linear control system, and the system analysis and control performance based on state space method
• the stability of the linear control system and feedback control, the stability analysis method and state feedback with its properties
• the system design method, the application of theory to practice, and the performance analysis of the actual control system

Different teaching methods, such as theory teaching, case study, practical problem analysis and group discussion et.al, are utilized to process this course to reach the teaching goal of this course.

Optimization and Optimal Control
This course mainly includes simplex method，the big M method and dual simplex method of solving linear programming problems; Gradient method，conjugate gradient method, Newton method, simplex method and one dimensional search method for solving nonlinear optimization problems. The general method dealing with constrained nonlinear optimization problem is discussed. The modern popular optimization methods are introduced in this course; we will focus on genetic algorithm and particle swarm algorithm. Through the theoretical study and practice of the course, students can carry out the application of optimization method. At the same time, students should master the basic concept and definition of the optimal control, familiar with classical variational method and maximum principle, using classical variational method and maximum principle analysis and design of unconstrained and constrained optimal control problem (mainly linear quadratic systems).

### 4. Supervisors

Chen Peng, Fengliang Huang, Xuemei Zhu, Ji Sun, JinZhao , Guohua Cao, Huai Liu, Engang Tian, Zhongyu Shen, Fuhong Min, Yijian Liu, Weixing Qian, Baoping Ma, Jie Xu, Liming Di.

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