JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives:

• To explain basic and digital control system for the real time analysis and design of control systems.
• To apply the knowledge state variable analysis in the design of discrete systems.
• To explain the concept of stability analysis and design of discrete time systems.

Course Outcomes

Upon the completion of this course, the student will be able to

• Apply the concepts of Digital control systems.
• Analyze and design of discrete systems in state variable analysis.
• To relate the concepts of stability analysis and design of discrete time systems.

UNIT - I

Concept & Representation of Discrete time Systems: Block Diagram of typical control system- advantages of sampling in control systems – examples of discrete data and digital systems – data conversion and quantization – sample and hold devices – D/A and A/D conversion – sampling theorem – reconstruction of sampled signals. Z-transform: Definition of Z-transforms – mapping between s-plane and z-plane – inverse z- transform – properties of z-transforms - ROC of z-transforms –pulse transfer function –relation between G(s) and G(z) – signal flow graph method applied to digital control systems.

UNIT - II

State Space Analysis: : State space modeling of discrete time systems – state transition equation of discrete time invariant systems – solution of time invariant discrete state equations: recursive method and the Z-Transformation method – conversion of pulse transfer function to the state model & vice- versa – Eigen values – Eigen vectors of discrete time system-matrix (A) – Realization of pulse transformation in state space form, discretization of continuous time systems, Computation of state transition matrix and its properties. Response of sample data system between sampling instants.

UNIT - III

Controllability, Observability & Stability tests: Concept of controllability, stabilizability, observability and reachability - Controllability and observability tests, Transformation of discrete time systems into controllable and observable forms. Stability: Definition of stability – stability tests – The second method of Liapunov.

UNIT - IV

Design of discrete time Controllers and observers: Design of discrete time controller with bilinear transformation – Realization of digital PID controller-Design of deadbeat controller; Pole placement through state feedback.

UNIT - V

STATE OBSERVERS: Design of - Full order and reduced order observers. Study of observer based control design

TEXT BOOKS:

• 1. K. Ogata, Discrete-Time Control systems, Pearson Education/PHI, 2nd Edition.
• 2. V. I. George, C. P. Kurian, Digital Control Systems, Cengage Learning.
• 3. M. Gopal, Digital Control Engineering, New Age Int. Pvt. Ltd., 2014

REFERENCES:

• 1. Kuo, Digital Control Systems, Oxford University Press, 2nd Edition, 2003.
• 2. M. Gopal , Digital Control and State Variable Methods, TMH.
• 3. M. Sami Fadali Antonio Visioli, Digital Control Engineering Analysis and Design, Academic Press