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SYLLABUS

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 lead 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