Unit 1
Mathematical Modeling: Linear Systems, Block Diagrams, Feedback, Input Test Signals, Laplace Transforms. Transfer Functions, State Space Representation.
Course Name | Introduction to Control Theory |
Course Code | 23AEE205 |
Program | B. Tech. in Aerospace Engineering |
Semester | 3 |
Credits | 3 |
Campus | Coimbatore |
Mathematical Modeling: Linear Systems, Block Diagrams, Feedback, Input Test Signals, Laplace Transforms. Transfer Functions, State Space Representation.
Definition of Stability – Response Vs. Pole Locations – Time Domain Specifications – System Type and Steady-State Errors – Routh’s Stability Criterion – Root Locus – Guidelines for Sketching – Bode Plot Techniques – Nyquist Criterion – Stability Margins (Gain and Phase),
Root Locus Design Method: Dynamic Compensation (Lead/Lag), PID Controllers – Frequency Response Design Method – Robust Stability and Robust Performance – Introduction to State Space Design, Controllability and Observability – Introduction to State-Feedback and Estimator Design.
Objectives
Introduce students to modelling, analysis and design of Linear Time Invariant (LTI) systems
CO1: Represent LTI electro-mechanical systems, as a transfer function and state space models
CO2: Obtain time response of first and second order systems
CO3: Determine steady state error performance of a given system
CO4: Use methods like Routh, root locus, Nyquist and Bode plots to analyse a system
CO5: Apply root locus and Bode plots in design of systems
CO6: Apply basic state space design methods
PO/PSO | PO1 | PO2 | PO3 | PO4 | PO5 | PO6 | PO7 | PO8 | PO9 | PO10 | PO11 | PO12 | PSO1 | PSO2 | PSO3 |
CO | |||||||||||||||
CO1 | 3 | 3 | 1 | 1 | 2 | 1 | – | – | 1 | 1 | – | – | 3 | 1 | 1 |
CO2 | 3 | 3 | 2 | 1 | 2 | 1 | – | – | 1 | 1 | – | – | 3 | 1 | 1 |
CO3 | 3 | 3 | 2 | 1 | 2 | 1 | – | – | 1 | 1 | – | – | 3 | 1 | 1 |
CO4 | 3 | 3 | 2 | 1 | 2 | 1 | – | – | 1 | 1 | – | 2 | 3 | 1 | 1 |
CO5 | 3 | 3 | 3 | 1 | 3 | 1 | – | – | 1 | 1 | – | 2 | 3 | 2 | 1 |
CO6 | 3 | 3 | 3 | 1 | 3 | 1 | – | – | 1 | 1 | – | 2 | 3 | 2 | 1 |
Evaluation Pattern
Assessment | Internal | End Semester |
Midterm Exam | 30 | |
*Continuous Assessment (CA) | 30 | |
End Semester | 40 |
Text Book(s)
Norman S. Nise, “Control Systems Engineering,” 8th Edition, Wiley, 2019.
Reference(s)
Ogata, K., “Modern Control Engineering”, 5th edition, Prentice Hall, 2021.
R.C. Dorf and R.H. Bishop, “Modern Control Systems,” 13th edition, Prentice-Hall, 2016.
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