# JNTUK R20 2-2 Linear Control Systems Material/Notes PDF Download

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JNTUK R20 2-2 Linear Control Systems Material/Notes PDF Download

Students those who are studying JNTUK R20 ECE Branch, Can Download Unit wise R20 2-2 Linear Control Systems Material/Notes PDFs below.

### JNTUK R20 2-2 Linear Control Systems Material/Notes PDF Download

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-1

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 andtransfer functions.Translational and Rotational mechanicalsystems

UNIT-2

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

TIME RESPONSE ANALYSIS

Standard test signals – Time response of first order systems – CharacteristicEquation of Feedback control systems, Transient response of second ordersystems – Time domain specifications – Steady state response – Steady stateerrors and error constants.

UNIT-3

STABILITY ANALYSIS IN S-DOMAIN The concept of stability – Routh’s stability criterion – qualitative stabilityand conditional stability – limitations of Routh’s stability

Root Locus Technique: The root locus concept – construction of root loci-effects of adding polesand zeros to G(s)H(s) on the root loci.

UNIT-4

Frequency response analysis: Introduction, Correlation between time and frequency response, Polar Plots, Bode Plots, Nyquist Stability Criterion

UNIT-5

CLASSICAL CONTROL DESIGN TECHNIQUES Compensation techniques – Lag, Lead, Lead-Lag Controllers design infrequency Domain, PID Controllers. State Space Analysis of ContinuousSystems Concepts of state, state variables and state model, derivation ofstate models from block diagrams, Diagonalization- Solving the Timeinvariant state Equations- State Transition Matrix and it’s Properties –Concepts of Controllability and Observability.

TEXT BOOKS:

1. Automatic Control Systems 8th edition– by B. C. Kuo–John wiley andson’s, 2003.
2. Control Systems Engineering – by I. J. Nagrath and M. Gopal,New Age International(P) Limited, Publishers, 2nd edition, 2007
3. Modern Control Engineering–by Katsuhiko Ogata – Pearson Publications, 5th edition, 2015

REFERENCE BOOKS:

1. Control Systems by A.Nagoorkani, RBA publications,3 edition, 2017.
2. Control Systems by A.Anandkumar, PHI, 2 Edition, 2014.

OUTCOMES:

• This course introduces the concepts of feedback and its advantages to various controlsystems
• The performance metrics to design the control system in time-domain and frequency domain areintroduced.
• Control systems for various applications can be designed using time-domain and frequency domainanalysis.
• In addition to the conventional approach, the state space approach for the analysis of control systems isalsointroduced.