Control Systems

Pre-Requisite: EC203
Contact Hours and Credits : ( 3 -0- 0 ) 3


  • To familiarize the students with the need for modeling of systems and to represent the system in various ways mathematically.
  • To teach them the various well established techniques to analyze the stability of systems and related issues. 

Topics Covered :

Block-diagram algebra. Time response of poles. Routh – Hurwitz criterion. Basic feedback loop. Asymptotic tracking and performance.

Root loci. Properties. Stability range from the loci. Design using root loci, proportional controller, phase lead controller and PD controller.

Frequency domain techniques. Bode and Nyquist plots. Phase and gain margins. Frequency domain specifications. Controller design.

State - space techniques. Canonical form for SISO continuous-time and discrete-time systems. Solution of state equations. State models of MIMO systems. Stability  analyses. Lyapunov criterion for stability.

Controllability and observability. Design of state feedback controllers. Full order and reduced order observers. Design of observers for continuous-time and discrete-time systems.

Course Outcomes :

Students are able to

  • CO1: Apply the basic mathematical tools to simplify and analyze the stability of the feedback systems.
  • CO2: Illustrate the use of root-loci method to predict the stability of the control systems.
  • CO3: Design a suitable compensator to improve the performance the controlled systems.
  • CO4: Use the frequency domain techniques to analyse the stability of the systems.
  • CO5: Judge the advantages of using modern approach such as state space analysis in solving complex systems.
  • CO6: Analyse the controllability and observability and design suitable observers for the systems.

Text Books:

  • J. Nagrath, M. Gopal,Control Systems Engineering,New Age Publication(4/e), 2010.
  • A. Ramakalyan, Control Engineering, Vikas, 2003.
  • R.C. Dorf & R.H. Bishop, Modern Control Systems (8/e), Pearson, 1999.

Reference Books:

  • K. Ogata : Modern Control  Engineering,  (3/e), PHI, 1998.
  • B.C. Kuo : Automatic Control Systems, (7/e), PHI, 1997.
  • K. Morris : An Introduction to Feedback Control, Academic Press, 2001.