# Digital Control System

 Course Code : R42021 Author : uLektz University : JNTU Kakinada Regulation : 2010 Categories : Electrical & Electronics Format : ePUB3 (DRM Protected) Type : eBook

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Description :Digital Control System of R42021 covers the latest syllabus prescribed by JNTU Kakinada for regulation 2010. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### Unit I Introduction to signals

1.1 Introduction of continuous and discrete time signals

1.2 Shifting and scaling operator

1.3 Periodic and non periodic signals, Linear time invariant and causal systems

###### Unit II Introduction to z-transforms

2.1 Z-Transform and theorems - Finding inverse and method for solving difference equations

2.2 Pulse transforms function - Block diagram analysis of sampled – data systems

2.3 Mapping between s-plane and z-plane.

###### Unit III Sampling and reconstruction

3.1 Introduction, sampling theorem, Examples of Data control systems

3.2 Digital to Analog conversion and Analog to Digital conversion

3.3 Sample and hold operations

###### Unit IV State space analysis

4.1 State Space Representation of discrete time systems, Pulse Transfer Function Matrix solving discrete time state space equations

4.2 State transition matrix and its Properties, Methods for Computation of State Transition Matrix, Discretization of continuous time state – space equations

###### Unit V Controllability and observability

5.1 Concepts of Controllability and Observability

5.2 Tests for controllability and Observability

5.3 Duality between Controllability and Observability - Controllability and Observability conditions for Pulse Transfer Function

###### Unit VI Stability analysis

6.1 Mapping between the S-Plane and the Z-Plane -Primary strips and Complementary Strips – Constant frequency loci, Constant damping ratio loci

6.2 Stability Analysis of closed loop systems in the Z-Plane - Jury stability test

6.3 Stability Analysis by use of the Bilinear Transformation and Routh Stability criterion

###### Unit VII Design of discrete time control system by conventional methods

7.1 Transient and steady – State response Analysis

7.2 Design based on the frequency response method

7.3 Bilinear Transformation and Design procedure in the w-plane

###### Unit VIII State feedback controllers and observers

8.1 Design of state feedback controller through pole placement - Necessary and sufficient conditions

8.2 Ackerman’s formula