JNTUK R19 2-2 Control Systems Material/Notes PDF Download


JNTUK R19 2-2 Control Systems Material/Notes PDF Download

Students those who are studying JNTUK R19 EEE Branch, Can Download Unit wise R19 2-2 Control Systems (CS) Material/Notes PDFs below.


JNTUK R19 2-2 Control Systems Material/Notes PDF Download

Preamble: This course introduces the elements of linear control systems and their analysis. Classical methods of design using frequency response. The state space approach for design, modeling and analysis of simple PD, PID controllers.


  • To learn the mathematical modeling of physical systems and to use block diagram algebra and signal flow graph to determine overall transfer function
  • To analyze the time response of first and second order systems and improvement of performance by proportional plus derivative and proportional plus integral controllers
  • To investigate the stability of closed loop systems using Routh’s stability criterion and the analysis by root locus method.
  • To discuss basic aspects of design and compensation of linear control system using Bode plot.
  • To present the Frequency Response approaches for the analysis of linear time invariant (LTI) systems using Bode plots, polar plots and Nyquist stability criterion.
  • Ability to formulate state models and analyze the systems. To learn the concepts of Controllability and Observability.


Mathematical Modeling of Control Systems Classification of control systems, open loop and closed loop control systems and their differences, Feedback characteristics, transfer function of linear system, differential equations of electrical networks, translational and rotational mechanical systems, transfer function of DC servo motor – AC servo motor – synchro, transmitter and receiver – block diagram algebra – representation by signal flow graph – reduction using Mason’s gain formula.

Download UNIT-1 Material PDF


Time Response Analysis Standard test signals – time response of first and second order systems – time domain specifications, steady state errors and error constants, P, PI,

Stability and Root Locus Technique

The concept of stability – Routh’s stability criterion –limitations of Routh’s stability, Root locus concept – construction of root loci (simple problems).Effect of addition of poles and zeros root locus

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Frequency Response Analysis Introduction to frequency domain specifications – Bode diagrams – transfer function from the Bode diagram – phase margin and gain margin – stability analysis from Bode plots. Polar plots, Nyquist stability criterion.

Download UNIT-3 Material PDF | Link-2


Classical Control Design Techniques Lag, lead, lag-lead compensators, design of compensators using Bode plots.

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State Space Analysis of LTI Systems Concepts of state, state variables and state model, state space representation of transfer function, diagonalization, solving the time invariant state equations, State Transition Matrix and it’s Properties, concepts of controllability and observability.

Download UNIT-5 Material PDF


  1. Modern Control Engineering by Kotsuhiko Ogata, Prentice Hall of India.
  2. Automatic control systems by Benjamin C.Kuo, Prentice Hall of India,2nd Edition.


  1. Control Systems principles and design by M.Gopal, Tata Mc Graw Hill education Pvt Ltd., 4th Edition.
  2. Control Systems by Manik Dhanesh N, Cengage publications.
  3. Control Systems Engineering by I.J.Nagarath and M.Gopal, Newage International Publications, 5th Edition.
  4. Control Systems Engineering by S.Palani,Tata Mc Graw Hill Publications.


  • derive the transfer function of physical systems and determination of overall transfer function using block diagram algebra and signal flow graphs.
  • determine time response specifications of second order systems and to determine error constants.
  • analyze absolute and relative stability of LTI systems using Routh’s stability criterion and the root locus method.
  • analyze the stability of LTI systems using frequency response methods.
  • design Lag, Lead, Lag-Lead compensators to improve system performance from Bode diagrams.
  • represent physical systems as state models and determine the response. Understanding the concepts of controllability and observability.

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