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# Control Systems pdf Notes – CS pdf Notes

## CONTROL SYSTEMS pdf Notes

Control Systems pdf Notes – CS pdf Notes

Objective : In this course it is aimed to introduce to the students the principles and applications of control systems in every day life. The basic concepts of block diagram reduction, time domain analysis solutions to time invariant systems and also deals with the different aspects of stability analysis of systems in frequency domain and time domain.

#### CS:Unit 8 Notes

UNIT – I INTRODUCTION Concepts of Control Systems-  Effects of feedback. Different examples of control systems- Classification of control systems, Mathematical models – Differential equations, Impulse Response and transfer functions -Open Loop and closed loop control systems and their differences-Feed-Back Characteristics, Translational and Rotational mechanical systems

Unit – 1,2,3

Unit – 1 – Control Systems Notes

Unit – 1 : Material 2

UNIT II TRANSFER FUNCTION REPRESENTATION – Control Systems Notes

AC Servo motor- Synchro transmitter and Receiver,Transfer Function of DC Servo motor – Block diagram representation of systems considering electrical systems as examples -Representation by Signal flow graph -Block diagram algebra – Reduction using mason’s gain formula.

Unit – 2 : Material 2

UNIT-III TIME RESPONSE ANALYSIS Standard test signals – Time response of first order systems –Transient response of second order systems – Time domain specifications – Characteristic Equation of Feedback control systems,  Steady state response – Steady state errors and error constants – Effects of proportional derivative, proportional integral systems.

Unit – 3 : Material 2

UNIT – IV STABILITY ANALYSIS IN S-DOMAIN The concept of stability – limitations of Routh’s stability Root Locus Technique: The root locus concept -Routh’s stability criterion – qualitative stability and conditional stability – construction of root loci-effects of adding poles and zeros to G(s)H(s) on the root loci.

Unit – 4 : Material 1

Unit – 4 : Material 2

Unit – 4 : Material 3

UNIT – V FREQUENCY RESPONSE ANALYSIS Introduction, Phase margin and Gain margin-Frequency domain specifications-Bode diagrams-Determination of Frequency domain specifications and transfer function from the Bode Diagram-Stability Analysis from Bode Plots.

Unit – 5 : Material 2

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

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

Unit – 8 : Material 2

Unit – 9 : Material 1

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.

Note :- These notes are according to the r09 Syllabus book of JNTUH.In R13 ,8-units of R09 syllabus are combined into 5-units in r13 syllabus.Click here to check all the JNTU Syllabus books