Course Title: Control System I
Type of Course: Compulsory, Theory
Offered to: EEE
Pre-requisite Course(s): None
Review of Laplace transform, Initial and Final value theorems,
Transfer Functions: Open-loop stability, Poles, Zeros, Time response, Transients, Steady-state, Block diagrams and signal flow diagram,
Feedback principles: Open versus Closed-loop control, High gain control, Inversion;
State variables: Signal flow diagram to state variables, transfer function to state variable and state variable to transfer function,
Stability of closed-loop systems: Routh's method, Root locus,
PID control: Structure, Design using root locus,
Pole assignment: Sylvester's theorem, PI and PID synthesis using pole assignment,
Frequency Response: Nyquist plot, Bode diagram, Nyquist stability theorem, Stability margins, Closed-loop sensitivity functions, Model errors, Robust stability,
Controller design using frequency response: Proportional control, Lead-lag control, PID control, Digital control systems: introduction, sampled data systems, stability analysis in Zdomain.
To demonstrate fundamental concepts, algorithms, and applications of control system engineering.
To enable students to apply control system to their own field of interests and to provide a basis for the study of more advanced topics and applications.
Fundamental understanding of concepts of Continuous Signals and Linear Systems and Digital Signal Processing I courses.
| CO No. | CO Statement | Corresponding PO(s)* | Domains and Taxonomy level(s)** | Delivery Method(s) and Activity(-ies) | Assessment Tool(s) |
|---|---|---|---|---|---|
| 1 | apply the control system principles to solve problems relevant to the time and frequency domain operations | PO(a) | C3 | Lectures, Discussions | Assignment, Class test, Final exam |
| 2 | analyse the control system engineering techniques applied to real-life applications based on the underlying principles | PO(b) | C4 | Lectures, Discussions | Assignment, Presentation, Class test, Final exam |
| 3 | design control systems such that specified performance characteristics are attained | PO(c) | C5, C6 | Lectures, Discussions | Assignment, Final exam |
*Cognitive Domain Taxonomy Levels: C1 – Knowledge, C2 – Comprehension, C3 – Application, C4 – Analysis, C5 – Synthesis, C6 – Evaluation, Affective Domain Taxonomy Levels: A1: Receive; A2: Respond; A3: Value (demonstrate); A4: Organize; A5: Characterize; Psychomotor Domain Taxonomy Levels: P1: Perception; P2: Set; P3: Guided Response; P4: Mechanism; P5: Complex Overt Response; P6: Adaptation; P7: Organization
Program Outcomes (PO): PO(a) Engineering Knowledge, PO(b) Problem Analysis, PO(c) Design/development Solution, PO(d) Investigation,
PO(e) Modern tool usage, PO(f) The Engineer and Society, PO(g) Environment and sustainability, PO(h) Ethics, PO(i) Individual work and team work,
PO(j). Communication, PO(k) Project management and finance, PO(l) Life-long Learning
* For details of program outcome (PO) statements, please see the departmental website or course curriculum
| K1 | K2 | K3 | K4 | K5 | K6 | K7 | K8 | P1 | P2 | P3 | P4 | P5 | P6 | P7 | A1 | A2 | A3 | A4 | A5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 🗸 | 🗸 | 🗸 | 🗸 | 🗸 | 🗸 | 🗸 | 🗸 | 🗸 |
| Week | Lectures | Topic |
|---|---|---|
| 1 | 1-3 | Introduction to control system and its applications. Review of Laplace transform, Initial and Final value theorems |
| 2 | 4-6 | Transfer Functions: Open-loop stability, Poles, Zeros |
| 3 | 7-9 | Transfer Functions: Time response, Steady-state, Block diagrams and signal flow diagram |
| 4 | 10-12 | Feedback principles: Open versus Closed-loop control, High gain control, Inversion |
| 5 | 13-15 | State variables: Signal flow diagram to state variables, transfer function to state variable and state variable to transfer function |
| 6 | 16-18 | Stability of closed-loop systems: Routh's method, Root locus |
| 7 | 19-21 | PID control: Structure, Design using root locus, |
| 8 | 20-24 | Pole assignment: Sylvester's theorem, PI and PID synthesis using pole assignment |
| 9 | 25-27 | Frequency Response: Nyquist plot, Bode diagram |
| 10 | 28-30 | Frequency Response: Nyquist stability theorem, Stability margins |
| 11 | 31-33 | Frequency Response: Closed-loop sensitivity functions, Model errors, Robust stability |
| 12 | 34-36 | Controller design using frequency response: Proportional control, Lead-lag control, PID control |
| 13 | 37-39 | Digital control systems: introduction, sampled data systems, stability analysis in Z domain. |
Class participation will be judged by in-class evaluation; attendance will be recorded in every class.
Continuous assessment will be done in the form of quizzes, assignments, in-class evaluations.
Final Examination: A comprehensive term final examination will be held at the end of the Term following the guideline of academic Council.
Class Participation 10%
Continuous Assessment 20%
Final Examination 70%
Total 100%
Norman S. Nise, Control Systems Engineering, John Wiley & Sons, 8th Ed., 2019 (required).
Richard C. Dorf, and Robert H. Bishop, Modern Control Systems, Pearson, 12th Ed., 2022 (required).
Besides going through relevant topics of the textbook, it is strongly advised that the students follow the class Lectures and discussions regularly for a thorough understanding of the topics.