Course Objectives
1.Able to understand the state space method and perform calculations related to state transition matrices.
2.Able to understand and determine the controllability and observability of a system.
3.Able to solve basic problems about state feedback and observers.
Rubric
| Ideal Level | Standard Level | Minimum Level |
Achievement 1 | Able to solve state transition matrices and state equations for physical systems. | Able to represent a simple system in terms of state equations and to find its state transition matrix. | Able to represent simple systems in terms of state equations. |
Achievement 2 | Able to determine controllability and observability of physical systems and convert them to controllable and observable canonical forms. Also, be able to apply it to the design of control systems. | Able to determine controllability and observability of simple systems and convert them to controllable and observable canonical forms. | Able to determine controllability and observability of simple systems. |
Achievement 3 | Able to design state feedback control systems and observers and their combined systems for physical systems. | Able to design basic state feedback control systems and observers, and their combined systems. | Able to design basic state feedback control systems and observers. |
Assigned Department Objectives
Teaching Method
Outline:
The goal of this course is to provide students with a mathematical treatment of systems using the state space method and to understand the most fundamental concepts in modern control theory, such as stability, controllability/observability, state feedback, etc. The course will also cover the relationship between the state equation and transfer function, solving the state equation using the state transition matrix, and controllability/observability of systems. To this end, the course will cover the relationship between the state equation and transfer function, the solution of the state equation using the state transition matrix, and controllability and observability of the system. In addition, state feedback and observers will be lectured as examples of control system design.
Style:
In this lecture, students are expected to become familiar with the equation-of-state treatment of systems. For this reason, the course will include not only lectures but also a lot of exercises, so students are expected to submit reports and other documents properly. Since this course is a credit course, students will be required to submit reports as pre- and post-learning.
Notice:
In this course, students learn modern control theory on the assumption that they have acquired knowledge of classical control theory. Therefore, it is desirable for students to have taken control engineering courses related to classical control theory in this course.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
1st Semester |
1st Quarter |
1st |
State space method |
Able to explain the state space representation.
|
2nd |
State space method |
Able to represent a physical system in terms of an equation of state.
|
3rd |
State transition matrix |
Able to derive the transfer function from the equation of state.
|
4th |
State transition matrix |
Able to calculate the state transition matrix of a basic system.
|
5th |
State transition matrix |
Able to explain the solution of the equation of state.
|
6th |
Controllability and observability |
Able to explain the controllability and observability of the system.
|
7th |
Controllability and observability |
Able to determine the controllability and observability of the system.
|
8th |
Controllability and observability |
Able to calculate controllable and observable canonical forms.
|
2nd Quarter |
9th |
Midterm examination |
|
10th |
State Feedback |
Able to explain state feedback and pole assignment.
|
11th |
State Feedback |
Able to design simple control systems using state feedback.
|
12th |
State Feedback |
Able to design simple control systems using direct feedback, etc.
|
13th |
Observer |
Able to explain about same dimensional observers.
|
14th |
Observer |
Able to design same dimensional observers.
|
15th |
Observer |
Able to design a state feedback control system using an observer.
|
16th |
Return of final exam papers |
|
Evaluation Method and Weight (%)
| midterm/final exam | quiz | portfolio | presentation/attitude | other | Total |
Subtotal | 70 | 0 | 30 | 0 | 0 | 100 |
Basic Proficiency | 0 | 0 | 0 | 0 | 0 | 0 |
Specialized Proficiency | 70 | 0 | 30 | 0 | 0 | 100 |
Cross Area Proficiency | 0 | 0 | 0 | 0 | 0 | 0 |