|Version1.1||Date of Approval: Jun 06, 2013||3||0||0||3|
|Pre-requisites//Exposure||Signals and Systems|
The students will learn and understand
- Methodology for modeling mechanical, electrical, and other types of dynamic systems using both frequency domain and state-space techniques.
- Fundamental analytical methods and tools used in control system design.
- Principles of feedback control to a variety of scientific disciplines
On completion of this course, the students will be able to
- Know the methodology for modeling dynamic systems
- Work with state-space models and their application to frequency domain models.
- Apply methods of Routh-Hurwitz, Bode, Nyquist, Nichols, and root-locus in the analysis and design of control systems.
- Design feedback controllers and compensators to achieve desired performance specifications.
Study of analog and computer controlled systems, classical and modern control system design methods, state space, dynamics of linear systems, and frequency domain analysis and design techniques. Analysis of linear feedback systems, their characteristics, performance, and stability. The Routh-Hurwitz, root-locus, Bode, and Nyquist techniques. Design and compensation of feedback control systems. Introduction to controllability and observability.
- Nagrath & Gopal, “Control System Engineering”, 4th Edition, New age International, ISBN : 0130980412. 8.
- K. Ogata, “Modern Control Engineering”, Prentice Hall of India, 3rd edition ISBN: 0132273071
- B.C. Kuo & Farid Golnaraghi, “Automatic Control System” Wiley India Ltd, 2008. ISBN 0-13-304759-8, 8th edition.
- D.Roy Choudhary, “Modern Control Engineering”, Prentice Hall of India. ISBN: 8120321960, 5th edition.
- Norman S. Mise, Control System Engineering 4th edition, Wiley Publishing Co, ISBN: 0132273071.
- Ajit K Mandal, “Introduction to Control Engineering” New Age International,2006, ISBN : 978-81-224-3390-6, 2nd edition
- R.T. Stefani, B.Shahian, C.J.Savant and G.H. Hostetter, “Design of Feedback Control Systems” Oxford University Press, ISBN 0195142497, 4th edition.
- N.C. Jagan, “ Control Systems”, B.S. Publications,2007, ISBN, 8178001772, 9788178001777, 2nd edition
Unit I: Introduction to Control System
7 lecture hours
Open loop & closed control; servomechanism, Physical examples. Transfer functions, Block diagram algebra, Signal flow graph, Mason’s gain formula Reduction of parameter variation and effects of disturbance by using negative feedback.
Unit II: Time Response analysis
7 lecture hours
Standard test signals, time response of first and second order systems, time response specifications, steady state errors and error constants, Steady state Accuracy, Transient Accuracy, Disturbance, Rejection, Design specifications of second order systems: Derivative error, derivative output, integral error and PID compensations, design considerations for higher order systems, performance indices.
Unit III:Concept of Stability & Algebraic Criteria
8 lecture hours
Concept of Stability, Necessary condition for Stability, Routh Hurwitz Stability Criterion, Relative Stability Analysis, Stability of Systems modeled in State variable form. Root locus concepts, its construction, Root contours, Sensitivity of roots of Characteristic equations.
Unit IV: Frequency response Analysis
8 lecture hours
Frequency response, correlation between time and frequency responses, polar and inverse polar plots, Bode plots, Log magnitude versus phase plots, Stability in Frequency Domain: Mathematical Preliminaries, Nyquist stability criterion, assessment of relative stability: gain margin and phase margin, Closed loop Frequency Response, Sensitivity analysis of Frequency Domain, Constant M&N circles, Nichols Charts Performance Specification in frequency domain.
Unit V: Introduction to Design of control systems
9 lecture hours
The design problem and preliminary considerations lead, lag and lead-lag networks, design of closed loop systems using compensation techniques in time domain and frequency domain. Review of state variable technique: Review of state variable technique, State Models for Linear continuous Time systems, State Variables for linear discrete time conversion of state variable model to transfer function model and vice-versa, diagonalization, Controllability and observability and their testing, Pole placement by State feedback.
Mode of Evaluation:
|Theory||Laboratory||Theory and laboratory|
Relationship between the Course Outcomes (COs) and Program Outcomes (POs)
|Mapping between Cos and POs|
|Sl. No.||Course Outcomes (COs)||Mapped Programme Outcomes|
|1||Know the methodology for modeling dynamic systems||4|
|2||Work with state-space models and their application to frequency domain models.
|3||apply methods of Routh-Hurwitz, Bode, Nyquist, Nichols, and root-locus in the analysis and design of control systems.
|4||Design feedback controllers and compensators to achieve desired performance specifications.||4|
|Engineering Knowledge||Problem analysis||Design/development of solutions||Conduct investigations of complex problems||Modern tool usage||The engineer and society||Environment and sustainability||Ethics||Individual or team work||Communication||Project management and finance||Life-long Learning|
1=addressed to small extent
2= addressed significantly
3=major part of course
|Theory||The theory of this course is used to evaluate the program outcome PO(3)|