Control Systems

EC25C12:

Control Systems

Course objective:

Model physical systems using differential equations, transfer functions, and state-space, then analyze time/frequency behavior to design stable, high-performance controllers.

Introduction To Control System

Fundamental concepts of Control Systems: open loop and closed loop systems – Control system Terminology – Applications.

Modelling of Physical Systems:

Transfer function – Modelling of Electric systems, Translational and rotational mechanical systems, Electrical analogous systems. Block diagram reduction, signal flow graphs, multivariable control system.

Time Domain Response

Transient and Steady state response - Standard test inputs - Time response of first and second order systems - Time domain specifications. Effect of moving the pole in the s-plane, Effect of adding real pole and zero. Steady state error, error constants and system type.

Stability Analysis

Concept of stability, characteristic equation, location of poles. Routh Hurwitz stability criterion - Root locus technique.

Frequency Domain Response

Frequency response: Frequency response of standard second order system - Frequency domain specifications - Relationship between Frequency and time domain specifications – Plots: Bode and Polar - Nyquist stability criterion.

Controller and Compensator Design

Controllers: P, PI, PD, PID - Analytical design of controllers. Compensators: needs and its types - Design of lag, lead, lag-lead compensators using root locus and bode plot.

State Space Representation

Concept of state, state variable and state model. Conversion: Transfer function from state equation, State equation to Transfer function. Solutions of state equations, Controllability and Observability.

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

Assessment Methodology: Assignment (20%), Software activity (20%), Quiz (20%),

Internal Examinations (40%).

Suggested Activities: Competitive Problem-Solving (GATE & Beyond), Hands-On Simulation & Hardware, Collaborative Assignments & Research & Modern Trends.

References:

1. Dukkipati, R. V. (2022). MATLAB for control system engineers (2nd ed.). New Age International Publishers.

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

3. Nagrath, J., & Gopal, M. (2021). Control system engineering (7th ed.). New Age International Publishers.

4. Nise, N. S. (2019). Control systems engineering. John Wiley & Sons.

5. Ogata, K. (2020). Modern control engineering (5th ed.). Pearson Education India.

6. Shankar Ram, C. S. (n.d.). Control systems [Video lectures]. NPTEL, IIT Madras.