Control Systems - EE25C07

 

EE25C07:

Control Systems

 

Course objective:

• The objective of this course is to equip students with a fundamental understanding of control systems by modelling physical systems using transfer functions and state-space methods.

• The course aims to develop analytical skills to evaluate system behavior in both time and frequency domains, assess system stability, and design appropriate controllers and compensators to meet desired performance specifications.

• Through theoretical concepts and design techniques, students will gain the ability to model, analyse, and control dynamic systems effectively.

 

Transfer Function Modelling of the Physical Systems: Systems - open and closed loop systems configurations - Modelling: electrical, mechanical and electro-mechanical systems - Block Diagram Reduction techniques-Signal Flow Graph.

 

Time Domain Analysis of the System: Standard test signals - Time response analysis of first and second order systems – Time domain specifications - Steady State Error - Generalized error series.

 

Stability Analysis and Root Locus: Routh Hurwitz Criteria - Root Locus: concepts and construction rules - Effect of addition of poles and Zeros – Analysis of system using Root Locus.

 

Frequency Domain Analysis of the System: Frequency domain analysis - specifications -Correlation between time domain and frequency domain –Open loop frequency response: Bode Plot - Polar Plot.

 

State Space Analysis of the System: State Space model Representation – State space from transfer function: Phase variable, Canonical variable – Block diagram representation of state space model – Solution of state equations – controllability, observability and stability analysis of the system.

 

Design Of Compensator and Controller: Design specifications - Compensator network and types - Design of Lag compensator, Lead Compensator and Lag-Lead Compensator using Bode plot – PID control algorithms - Ziegler-Nichols based PID controller design - Design of State Feedback controller using pole placement.

 

Tasks:

T1: Derive the transfer function of: RLC series circuit

T2: Model a DC motor and derive transfer function relating: Armature voltage → Angular speed

T3: Study effect of damping ratio on:

• Overshoot

• Peak time

• Settling time

T4: Determine gain range for stability using root locus.

T5: Design lead compensator using Bode plot for improved transient response.

 

Weightage: Continuous Assessment: 40%, End Semester Examinations: 60%.

Assessment Methodology: Assignments (20%), Solution to application-oriented

problems using software (20%), Review of GATE questions (20%), Internal Examinations (40%).

 

References

1. Nise, N. S. (2020). Control systems engineering (8th ed.). John Wiley.

2. Nagrath, I. J., & Gopal, M. (2016). Control systems engineering (5th ed., Reprint). New Age International Publishers.

3. Dorf, R. C., & Bishop, R. H. (2022). Modern control systems (14th ed.). Pearson.

4. Ogata, K. (2010). Modern control engineering (5th ed.). Prentice Hall Private Limited.

5. Kuo, B. C., & Golnaraghi, F. (2017). Automatic control systems (10th ed.). McGraw Hill Education.