Course objectives:
To introduce the concepts of open loop and closed loop systems, mathematical models
of mechanical and electrical systems, and concepts of feedback
To study the characteristics of the given system in terms of the transfer function and
introducing various approaches to reduce the overall system for necessary analysis
To develop the acquaintance in analyzing the system response in time-do main and
frequency domain in terms of various performance indices
Toanalyzethesystem in terms of absolute stability and relative stability by different
approaches
To design different control systems for different applications as per given specifications
To introduce the concepts of state variable analysis, design and also the concepts of
controllability and observability.
UNIT I - INTRODUCTION
Concepts of System, Control Systems: Open Loop and closed loop control systems and their
differences. Different examples of control systems, Feed-Back Characteristics, Effects of
feedback. Mathematical models, Differential equations, Impulse Response and transfer functions.
Translational and Rotational mechanical systems
UNIT II – TRANSFER FUNCTION REPRESENTATION
Transfer Function of DC Servo motor - AC Servo motor- Synchro-transmitter and Receiver,
Block diagram representation of systems considering electrical systems as examples –Block
diagram algebra–Representation by Signal flowgraph-Reduction using mason’s gain formula.
TIME RESPONSE ANALYSIS
Standard test signals – Time response of first order systems – Characteristic Equation of
Feedback controlsystems, Transient response of second order systems – Time domain
specifications – Steady state response - Steady stateerrors and error constants.
UNIT III – STABILITY ANALYSIS IN S-DOMAIN
The concept of stability – Routh’s stability criterion – qualitative stability and conditional
stability – limitations of Routh’s stability100
Root Locus Technique:
The root locus concept - construction of root loci-effects of adding poles and zeros to G(s) H(s)
on the root loci.
UNIT IV
Frequency response analysis: Introduction, Correlation between time and frequency response,
PolarPlots, BodePlots,Nyquist Stability Criterion
UNIT V – CLASSICAL CONTROL DESIGN TECHNIQUES
Compensation techniques – Lag, Lead, Lead-Lag Controllers design infrequency Domain,
PIDControllers. State Space Analysis of Continuous Systems Concepts of state, state
variables andstate model, derivation ofstate models from block diagrams, Diagonalization-
Solving the Timeinvariant state Equations- State Transition Matrix and it’s Properties –
Concepts of ControllabilityandObservability.
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TEXT BOOKS:
1. Automatic Control Systems
th edition– by B.C.Kuo – Johnwiley and son’s, 2003.
2. Control Systems Engineering –by I. J.Nagrathand M.Gopal, New Age International (P)
Limited, Publishers, 2nd edition, 2007
3. Modern Control Engineering–by Katsuhiko Ogata–Pearson Publications, 5
th edition, 2015.
REFERENCE BOOKS:
1. Control Systems by A.Nagoorkani, RB Apublications, 3 edition, 2017.
2. Control Systems by A.Anandkumar, PHI, 2 Edition, 2014.
Course Outcomes:
This course introduces the concepts of feedback and its advantages to various control
systems
The performance metrics to design the control system intime-domain and frequency
domain are introduced.
Control systems for various applications can be designed using time-domain and
frequency domain analysis.
In addition to the conventional approach, the state space approach for the analysis of
control systems is also introduced.