# Control Systems

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GATE SYLLABUS

Control Systems:
Principles of feedback; transfer function; block diagrams; steady-state errors; Routh and Niquist techniques; Bode plots; root loci; lag, lead and lead-lag compensation; state space model; state transition matrix, controllability and observability.

JNTU SYLLABUS:

UNIT – I INTRODUCTION :
Concepts of Control Systems- Open Loop and closed loop control systems and their differences-Different examples of control systems- Classification 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 flow graph – Reduction using Mason’s gain formula.

UNIT-III TIME RESPONSE ANALYSIS:
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 – Effects of proportional derivative, proportional integral systems.

UNIT – IV STABILITY ANALYSIS IN S-DOMAIN:
The concept of stability – Routh’s stability criterion – qualitative stability and conditional stability –limitations of Routh’s stability
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 – V FREQUENCY RESPONSE ANALYSIS:
Introduction, Frequency domain specifications-Bode diagrams-Determination of Frequency domain specifications and transfer function from the Bode Diagram-Phase margin and Gain margin-Stability Analysis from Bode Plots.

UNIT – VI STABILITY ANALYSIS IN FREQUENCY DOMAIN:
Polar Plots-Nyquist Plots-Stability Analysis.

UNIT  -VII CLASSICAL CONTROL DESIGN TECHNIQUES :

UNIT – VIII State Space Analysis of Continuous Systems:
Concepts of state, state variables and state model, derivation of state models from block diagrams, Diagonalization- Solving the Time invariant state Equations- State Transition Matrix and it’s Properties –Concepts of Controllability and Observability

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Control Systems Topics
Introduction to control problem
Basic Feedback Structure
Introduction to Control Problem (Contd.)
Dynamic Systems and Dynamic Response
Dynamic Systems and Dynamic Response (Contd.)
Dynamic Systems and Dynamic Response (Contd.)
Dynamic Systems and Dynamic Response (Contd.)
Dynamic Systems and Dynamic Response (Contd.)
Dynamic Systems and Dynamic Response (Contd.)
Models of Industrial Control Devices and Systems
Models of Industrial Control Devices and Systems (Contd.)
Models of Industrial Control Devices and Systems( Contd.)
Models of Industrial Control Devices and Systems( Contd.)
Models of Industrial Control Devices and Systems( Contd.)
Models of Industrial Control Devices and Systems( Contd.)
Models of Industrial Control Devices and Systems (Contd.)
Models of Industrial Control Devices and Systems (Contd.)
Models of Industrial Control Devices and Systems (Contd.)
Basic Principles of Feedback Control
Basic Principles of Feedback Control (Contd.)
Basic Principles of Feedback Control (Contd.)
Basic Principles of Feedback Control (Contd.)
Concepts of stability and Routh Stability Criterion
Concepts of stability and Routh Stability Criterion (Contd.)
Concepts of stability and Routh Stability Criterion (Contd.)
The Performance of Feedback Systems
The Performance of Feedback Systems (Contd.)
The Performance of Feedback Systems (Contd.)
The Performance of Feedback Systems (Contd.)
Compensator Design Using Root Locus Plots
Compensator Design Using Root Locus Plots (Contd.)
Compensator Design Using Root Locus Plots (Contd.)
Compensator Design Using Root Locus Plots (Contd.)
Compensator Design Using Root Locus Plots (Contd.)
The Nyquist Stability Criterion and Stability Margins
The Nyquist Stability Criterion and Stability Margins (Contd.)
The Nyquist Stability Criterion and Stability Margins (Contd.)
The Nyquist Stability Criterion and Stability Margins (Contd.)
Feedback System Performance Based on the Frequency Response
Feedback System Performance Based on the Frequency Response (Contd.)
Compensator Design Using Frequency Response Plots

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TEXT BOOKS:
1. Automatic Control Systems 8th edition– by B. C. Kuo 2003– John wiley and son’s.,
2. Control Systems Engineering – by I. J. Nagrath and M. Gopal, New Age International(P) Limited, Publishers, 2nd edition.

REFERENCE BOOKS:
1.Modern Control Engineering – by Katsuhiko Ogata – Prentice Hall of India Pvt. Ltd., 3rd edition,1998.
2.Control Systems by N.K.Sinha, New Age International (P) Limited Publishers, 3rd Edition, 1998.
3.Control Systems Engg. by NISE 3rd Edition – John wiley
4.“Modelling & Control Of Dynamic Systems” by Narciso F. Macia George J. Thaler, ThomsonPublishers.

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