Unit 1 Introduction to discrete-time systems

9 lecture hours

• Data conversion and quantisation - Sampling process- mathematical modelling- Data reconstruction and filtering of sampled signals- Hold devices- z transform and inverse z transform - Relationship between s plane and z- plane- Difference equation - Solution by recursion and z-transform- Discretisation Methods

Unit 2 Frequency domain approach – Analysis and discretization, Design in the Z plane using

10 lecture hours

• root locus diagram
• phase lead lag controller
• digital P, PI, PD, PID controller
• Pole zero cancellation
• Time domain approach
• analysis and discretization
• State space formulation for discretized systems

Unit 3 Engineering aspects of computer controlled systems - Roll for digital computer system

• in process control
• Introduction to distributed instrumentation and control system
• General purpose digital data acquisition and control hardware

Unit 4 Sampled data systems, Control of Sampled data systems - Digital control of continuous

• time system and sampled data control system
• Discrete-time system and Z-Transformation implementation for control
• State space description of dynamic system
• Discrete time observer and controller
• related examples

Unit 5 Concept of differential sampling, Closed loop analysis of differentially sampled

• Control design based on differential sampling - State variable models- Interrelations between z- transform models and state variable models - Controllability and Observability - response between sampling instants using state variable approach - Pole placement using state feedback – Servo Design- State feedback with Integral Control-Deadbeat Control by state feedback and deadbeat observers- Dynamic output Feedback- Effects of finite word length on controllability and closed loop pole placement- Case study examples using MATLAB. 10 Subject Code: 3720728 w.e.f