EC 540 Control Systems

Class Hours: A-Section

Tutorial: Saturday 9:30AM

Theory Hours: Tuesday 11:00AM, Wednesday 11:00AM Friday 11:00AM

B-Section

Tutorial: Friday 3:30 PM

Theory Hours: Monday: 12:000 Noon, Friday 12:00 noon, Friday 2:30pm

Course Outcomes: After the end of this course, student will be able to:

1. Represent physical systems as mathematical model.

2. Analyze various properties of the control systems in time domain and frequency domain using appropriate tools.

3. Evaluate and realize the state-space models of systems using appropriate tools.

4. Design and test the controllers for transfer function and state-space models.

5. Use modern tools to design, implement, test the controllers and document the results in professional manner.

Syllabus

Unit 1

Concept of feedback control, Laplace transform review, Examples of control systems (Electrical, mechanical, electromechanical) and their mathematical models with transfer function and State-space models. Block diagram representation and its algebra, Signal flow graphs and Mason’s gain formula. (8 hours)

Unit 2

Time domain analysis, Effect of pole-zero location and addition, step response and impulse response of the standard first and second order systems, Stability w.r.t. transfer function, Routh-Hurwitz method, Steady state error analysis of Type-0,1,2 systems, Classical PID controller, . (10 hours)

Unit 3

Root-locus of a basic feedback system and guidelines, Control design using RL technique, frequency response, Nyquist stability criterion, stability margins, closed-loop frequency response, Phase lead compensation and its design. (8 hours)

Unit 4

State-space design and its advantages, analysis of state-equations, Canonical structures, full-state feedback control, Controllability, Observability, selection of pole locations for good design, estimator design, combined control law and estimator. (10 hours)

Unit 5

Case studies: An outline of control systems design, Inverted Pendulum, DC Motor, Maglev control, Aircraft yaw, pitch control (4 hours)

Books and References

Text Book:

1. G. F. Franklin., G. D. Powell., A. E. Naeini, 5^th Edition, Feedback Control of Dynamic Systems, Pearson Education, 2002

References:

1. M. Gopal, Control Systems: Principles and Design, 4th Ed, McGraw Hill, India

2. Norman Nise, Control Systems Engineering, 5th Edition 2009, Wiley India Edition.

3. K. Ogata, Modern Control Engineering, ^5th Edition, Prentice Hall, 2010

4. S. K. Bhattacharya, Control Systems Engineering, Pearson Education, 2005

CIE Calculation

3 Tests 20 Marks each

T=(T1+T2+T3)=60

P1=Project: 20 Marks

P2=Project: 20 marks

CIE=(T+P1+P2)/2

Some interesting videos:

Marvel of control engineering,

Launching and Landing of Rocket courtesy spaceX

Tour of International Space Station

Live Video of Earth from ISS

Important Links

• 1. History of Control

1. Application of Control Theory in Variety of Fields

   1. IEEE Control Systems Magazine

   2. MATLAB

   3. SCILAB

   4. Analysis and Design of Feedback Control Systems: MIT Course

   5. Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press Publication

   6. Open Problems in Mathematical Systems and Control Theory, Springer Publication

Links from Your Friends

MATLAB Files

• 1. reps_first_order.m This MATLAB M-file demonstrates representing LTI systems in MATLAB in various ways, finding their poles and zeros. Demonstrates impulse and step response of a first order system. It also shows how to obtain frequency response (magnitude and phase angle wrt frequency).

  2. std_secod_order.m This MATLAB M-file demonstrates impulse and step responses to standard second order systems for various values of damping ratio zeta. Also plots their pole-zero map. Shows how to generates plots with legends and grids.

1. effect_of_zero.m This MATLAB M file demonstrates the effect of 'zero' location in a standard second order system on the impulse and step response; Two cases are considered: (1) Complex conjugate poles with damping ratio 0.5; (2) Real poles with damping ratio \zeta >1.

2. type_steady_state_error This MATLAB M-file demonstrates response of type-0, type-1, type-2 systems having unity feedback structure to step, ramp and parabolic reference inputs.

3. Root Locus for some standard Examples

4. Design of phase-lead compensator in frequency domain.