II-II (2021-2022)
A6210
Control Systems

Instructor

Mr. B. Rajagopal Reddy
b.rajagopalreddy@vardhaman.org
+91 99497 77062

Objectives

This course offered as an integrated course having theory and practice that gives hands-on training on MATLAB- Simulink and adequately supported by required hardware. From this course students can understand the principles and applications of control systems in daily life. This course deals with basic concepts of block diagram reduction, time domain analysis, and stability analysis of the system in frequency domain, time domain and state equations. This course also emphasizes the understanding and practical applications of PID controllers in the field of power electronics and power systems.

Course Outcomes

After the completion of the course, the student will be able to:

A6210.1. Develop the transfer function and state space models of dynamic systems.

A6210.2. Analyze time response performance indices of linear time invariant systems.

A6210.3. Apply Routh’s and Nyquist stability criterion to analyze and design feedback control systems.

A6210.4. Examine the performance of feedback control system by using graphical techniques.

A6210.5. Design the various compensators and controllers for time invariant systems.

Syllabus

Basics of control systems: Introduction, open loop and closed loop control systems, differences and effects of feedback. Mathematical modelling of control systems: Introduction to differential equations, transfer function of electrical systems, electrical and mechanical analogues systems, block diagram reduction techniques, signal flow graph representation, reduction using mason’s gain formula.

Control system components and time response analysis: Transfer function of dc servo motor, ac servo motor, synchro transmitter and receiver.Standard test signals, time response of first order systems-characteristic equation of feedback control systems, transient response of second order systems, time domain specifications, steady state response, steady state errors and error constants.

Routh’s stability and root locus: The concept of stability, Routh’s stability criterion, qualitative stability and conditional stability, limitations of Routh’s stability. The root locus concept, construction of root loci, effects of adding poles and zeros to g(s) h(s) on the root loci.

Frequency response analysis: Introduction, frequency domain specifications, polar plots, Bode diagrams, determination of transfer function from the Bode diagram, phase margin and gain margin, stability analysis from Bode plots and polar plots. Nyquist stability analysis: principle of argument, Nyquist plots, Nyquist stability analysis.

State space analysis: Design of Controllers: Compensation techniques, Lag, Lead, and Lead-Lag Controllers design, PID Controllers. Concepts of state, state variables and state model, various state models representations, diagonalization, state transition matrix, properties, solving the time invariant state equations, concepts of controllability and observability.

Text Books

  1. I.J.Nagrath, M.Gopal, Control Systems Engineering, 5th edition, New Age International (P) Limited, New Delhi, India, 2011
  2. Benjamin C. Kuo , Automatic Control Systems, 8th edition, John Wiley and Son’s, USA, 2003

Reference Books

  1. K. Ogata, Modern Control Engineering, 4th edition, Prentice Hall of India Pvt. Ltd, New Delhi, 2008
  2. N. K. Sinha, Control Systems, 3rd edition, New Age International Limited Publishers, New Delhi, 2008

Resources

Lecture Notes

  1. Unit I Download
  2. Unit II Download
  3. Unit III Download
  4. Unit IV Download
  5. Unit V Download

Coursework

Inform the instructor any time prior to the due date for an assignment that you wish to use a late day; you may then turn in the assignment up to 24 hours late. Multiple late days may be used on the same assignment. There are no partial late days; turning in an assignment 2 hours late or 20 hours late will both use 1 late day. Note that late days are intended to cover both normal circumstances (you simply want more time to work on the assignment) and exceptional circumstances. The late assignments will receive at most half credit.

Alternate Assessments

# Name Assigned Due
1 Assignment # 1 - -
1 Assignment # 2 - -
1 Assignment # 3 - -
1 Assignment # 4 - -

Practice

  1. Time response of second order system Download
  2. Characteristics of Synchros Download
  3. Frequency response of lead and lag compensator circuits Download
  4. Temperature control using PID controller Download
  5. Characteristics of AC servo motor Download
  6. DC Position control system Download
  7. Effect of open loop poles and zeroes on Root Locus contour using MATLAB Download
  8. Determination of gain margin and phase margin of Linear Time Invariant system using polar and Nyquist plots using MATLAB Download
  9. Evaluation of effect of time delay on gain margin and phase margin of Linear Time Invariant system using Bode plot using MATLAB Download
  10. Effect of P, PI, PD and PID controller on speed control of DC motor system using MATLAB-Simulink Download
  11. State space model for classical transfer function using MATLAB Download
  12. Design of a passive RC lead and lag compensating network for the given specifications and get its frequency response using MATLAB Download

Lab attendance is required.

Continuous Assessment

# Name Question Paper Schema
1 CAT - I Download Download
2 CAT - II Download Download

Commitments

It is my ultimate goal for this course, and my teaching, to develop your academic skills, advance your learning of electrical and electronics engineering concepts. To do so will require commitments from myself and from you toward meeting this goal.

Active Participation

I will be prepared and on time for class each day, ready to use class time to help you understand the course material. I will respectfully listen to, understand, and answer questions asked in class.

You are expected to attend class and actively participate in discussions every day, answering questions, asking questions, presenting material, etc. Your participation will be respectful of your classmates, both of their opinions and of their current point in their educational journey, as we each approach the material with different backgrounds and contexts.

Constructive Feedback

I will keep office hours and be available for outside appointments, and respond to emails. I will provide feedback on group presentations, exams, projects, and homeworks.

You are encouraged to provide constructive comments for improving this course for furthering your learning throughout the semester. There will be an opportunity for anonymous course feedback at the end of the semester, in which I hope you all participate. Through your feedback I can improve this course and others for future students.

Academic Integrity

I will abide by the above syllabus and grade your work fairly.

  • All students have an equal right to their opinions and to receive constructive criticism.
  • Students should positively engage the course material and encourage their classmates to do the same.
  • No students should gain an unfair advantage or violate their peers' commitment to honest work and genuine effort. It follows that any work that a student submits for class will be that student's own work. The amount of cooperation undertaken with other students, the consistency and accuracy of work, and the test-taking procedure should adhere to those guidelines that the instructor provides.
  • Members of the Hendrix community value and uphold academic integrity because we recognize that scholarly pursuits are aimed at increasing the shared body of knowledge and that the full disclosure of sources is the most effective way to ensure accountability to both ourselves and our colleagues.