Advanced Control Theory

Course title

V0410700

Click to show questionnaire result at 2018

Course description

It is known that control engineering plays a very important role in real-world applications involving mechanical and electrical systems, and it includes classic control theory which is based on transfer function representations and modern control theory which is based on state space representations. This course is focused on the latter, deals with basic knowledge in modern control. We will learn system representation (modeling), transfer function, state solution (various response), frequency based analysis and design, system stability, controllability and observability, state feedback, optimal control, etc. The course will be delivered through lectures in English, together with some exercises and MATLAB/Simulink simulations.

Purpose of class

Provide fundamental knowledge about modern control theory. More precisely, it covers state space representation (modeling), transfer function, state transition matrix, state solution (various response), system stability, controllability, state feedback, pole assignment, optimal control, etc. Aim at understanding various analysis and design tools in control engineering, and using MATLAB/Simulink for numerical simulation.

Goals and objectives

Can understand state space representation, and obtain various system responses.
Can understand stability, controllability and observability of control systems.
Can understand state feedback and optimal control.

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Middle report	Final exam	Quiz during class	Total.
1.	15%	10%	5%	30%
2.	15%	15%	10%	40%
3.		25%	5%	30%
Total.	30%	50%	20%	-

Language

English

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Course introduction and preliminary English words in mathematics and control	Review simple English words in mathematics and control area	190minutes
2.	Classic control and modern control, transfer function, state space representation	Review calculus, matrix basics and Laplace transform	190minutes
3.	Various state space representations in control systems	Review of simple mechanical systems, RLC circuit and Newton's Law	190minutes
4.	State variable diagram State transformation	Review of ordinary differential equations (ODEs) and their solutions	190minutes
5.	Zero-input system response State transition matrix	Review of matrix operation and Laplace transform	190minutes
6.	Response of linear systems with inputs	Review of matrix operation and Laplace transform together with state transition matrix	190minutes
7.	Stability of systems	Review of matrix eigenvalues and Routh condition in classic control	190minutes
8.	Review and middle report	Review of No. 1 through No. 7, focusing on state space representation and state transition matrix	190minutes
9.	State feedback	Review stability of control systems	190minutes
10.	Pole assignment	Review stability of control systems and characteristic polynomial of a matrix	190minutes
11.	Controllability and observability	Review definition and computation of matrix rank	190minutes
12.	State feedback, pole assignment and optimal control	Review of stability, controllability of control systems	190minutes
13.	Optimal control	Review state feedback, and preview cost function	190minutes
14.	Review/exercise and final report	Review all from No.1 through No. 14	190minutes
Total.	-	-	2660minutes

Evaluation method and criteria

Quiz during class: 20%
Middle report: 30%
Final exam: 50%
------

Pass when reaching 60% of the whole evaluation, or in other words, reaching the level of writing state space representation of simple control systems, and then obtaining the system's solution, analyzing system stability, and designing proper state feedback for the control system.

Feedback on exams, assignments, etc.

ways of feedback	specific contents about "Other"
Feedback in outside of the class (ScombZ, mail, etc.)

Textbooks and reference materials

Mainly handouts (No textbook)

Reference Books:
(1) Sato, Shimomoto, Kumasawa: Modern Control Theory for Beginners (Koudansya)
(2) K. Ogata, Modern Control Engineering (Prentice Hall)

Prerequisites

Desirable to master basic calculus and linear algebra (matrices and vectors)

Office hours and How to contact professors for questions