Syllabus

JNTUK B.Tech Digital Control Systems for R13 Batch.

JNTUK B.Tech Digital Control Systems R13 Syllabus for Engineering it gives you detail information about Power Systems Lab syllabus.

Preamble

In recent years digital controllers have become popular due to their capability of accurately performing complex computations at high speeds and versatility in leading non linear control systems. In this context, this course focuses on
the analysis and design of digital control systems.

Learning objectives

  • To understand the concepts of digital control systems and assemblevarious components associated with it. Advantages compared to the analog type.
  • The theory of z–transformations and application for the mathematical analysis of digital control systems.
  • To represent the discrete–time systems in state–space model and evaluation of state transition matrix.
  • To examine the stability of the system using different tests.
  • To study the conventional method of analyzing digital control systems in the w–plane.
  • To study the design of state feedback control by “the pole placement method.”

UNIT – I

Introduction and signal processing : Introduction to analog and digital control systems – Advantages of digital systems – Typical examples – Signals and processing – Sample and hold devices – Sampling theorem and data reconstruction – Frequency domain characteristics of zero order hold.

UNIT–II

Z–transformations : Z–Transforms – Theorems – Finding inverse z–transforms – Formulation of difference equations and solving – Block diagram representation – Pulse transfer functions and finding open loop and closed loop responses.

UNIT–III

State space analysis and the concepts of Controllability and observability State Space Representation of discrete time systems – State transition matrix and methods of evaluation – Discretization of continuous – Time state equations – Concepts of controllability and observability – Tests (without proof).

UNIT – IV

Stability analysis : Mapping between the S–Plane and the Z–Plane – Primary strips and Complementary Strips – Stability criterion – Modified routh’s stability criterion and jury’s stability test.

UNIT – V

Design of discrete–time control systems by conventional methods : Transient and steady state specifications – Design using frequency response in the w–plane for lag and led compensators – Root locus technique in the z– plane.

UNIT – VI

State feedback controllers: Design of state feedback controller through pole placement – Necessary and sufficient conditions – Ackerman’s formula.

Learning outcomes

  • The students learn the advantages of discrete time control systems and the “know how” of various associated accessories.
  • The learner understand z–transformations and their role in the mathematical analysis of different systems(like laplace transforms in analog systems).
  • The stability criterion for digital systems and methods adopted for testing the same are explained.
  • Finally, the conventional and state–space methods of design are also introduced.

Text Book

  • Discrete–Time Control systems – K. Ogata, Pearson Education/PHI, 2nd Edition

Reference Books

  • Digital Control Systems, Kuo, Oxford University Press, 2nd Edition, 2003.
  • Digital Control and State Variable Methods by M.Gopal, TMH

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