Digital Control Systems
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITYKAKINADA
IV Year B.Tech EEE. II-Sem T P C
4+1* 0 4
DIGITAL CONTROL SYSTEMS
UNIT – I SAMPLING AND RECONSTRUCTION
Introduction, Examples of Data control systems – Digital to Analog conversion and Analog to Digital
conversion, sample and hold operations.
UNIT-II THE Z – TRANSFORMS
Introduction, Linear difference equations, pulse response, Z – transforms, Theorems of Z – Transforms,
the inverse Z – transforms, Modified Z- Transforms
UNIT-III Z-PLANE ANALYSIS OF DISCRETE-TIME CONTROL SYSTEM
Z-Transform method for solving difference equations; Pulse transforms function, block diagram analysis
of sampled – data systems, mapping between s-plane and z-plane.
UNIT – IV STATE SPACE ANALYSIS
State Space Representation of discrete time systems, Pulse Transfer Function Matrix solving discrete time
state space equations, State transition matrix and it’s Properties, Methods for Computation of State
Transition Matrix, Discretization of continuous time state – space equations
UNIT – V CONTROLLABILITY AND OBSERVABILITY
Concepts of Controllability and Observability, Tests for controllability and Observability. Duality between
Controllability and Observability, Controllability and Observability conditions for Pulse Transfer Function
UNIT – VI STABILITY ANALYSIS
Mapping between the S-Plane and the Z-Plane – Primary strips and Complementary Strips – Constant
frequency loci, Constant damping ratio loci, Stability Analysis of closed loop systems in the Z-Plane. Jury
stablility test – Stability Analysis by use of the Bilinear Transformation and Routh Stability criterion.
UNIT – VII DESIGN OF DISCRETE TIME CONTROL SYSTEM BY CONVENTIONAL METHODS
Transient and steady – State response Analysis – Design based on the frequency response method –
Bilinear Transformation and Design procedure in the w-plane, Lead, Lag and Lead-Lag compensators
and digital PID controllers.
UNIT – VIII STATE FEEDBACK CONTROLLERS AND OBSERVERS
Design of state feedback controller through pole placement – Necessary and sufficient conditions,
State Observers – Full order and Reduced order observers.
1. Discrete-Time Control systems – K. Ogata, Pearson Education/PHI, 2nd Edition
1. Digital Control Systems, Kuo, Oxford University Press, 2nd Edition, 2003.
2. Digital Control and State Variable Methods by M.Gopal, TMH