Course title
V04107003
Advanced Control Theory

ZHAI GUISHENG 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
  1. Can understand state space representation, and obtain various system responses.
  2. Can understand stability, controllability and observability of control systems.
  3. 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
  • Tuesday 12:30 -- 13:00
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 5.GENDER EQUALITY
  • 7.AFFORDABLE AND CLEAN ENERGY
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
  • 10.REDUCED INEQUALITIES
  • 11.SUSTAINABLE CITIES AND COMMUNITIES
  • 12.RESPONSIBLE CONSUMPTION & PRODUCTION
  • 16.PEACE, JUSTICE AND STRONG INSTITUTIONS
  • 17.PARTNERSHIPS FOR THE GOALS
Last modified : Fri Jun 28 17:06:14 JST 2024