Digital Control Systems
- Introduction - Digital Control systems- A simplified digital control system, Definitions of terms
- Digital Signals , Types of sampling operations, Numerical Control systems, Quantizing and Coding -Quantization Error -
Data Acquisition, conversion and distribution systems, Reconstructing the input signal by hold circuits, Multiplexer and Demultiplexer- A/D convertors - D/A convertors
- Introduction - Z -Transform - Z- Transforms of Elementary Functions - Important Properties and Theorems of the Z- Transform
- The Inverse Z - Transform - Z- transform method for solving difference equations
- Impulse sampling - Data hold circuit - Zero and first order Hold - Z- transform by the convolution integral Method - Reconstructing Original Signals from sampled signals
- Pulse Transfer Function - Starred Laplace Transform - Pulse Transfer Function of closed loop systems - Pulse Transfer Function of digital controller - Pulse Transfer Function of digital control system - Transfer Function of a digital PID controller-
- - Realization of Digital Controllers and digital filters - Mapping between the S plane and Z plane - Stability analysis of closed - loop systems in the Z domain
- Introduction to Designing method of discrete time control systems - Obtaining Discrete - time equivalents of continuous - time filters
- Design Principles based on a discrete - time equivalent of an analogue controllers - Transient and Steady state response analysis
- Response to disturbance - Design Based on the Root Locus Method
- Design Based on the Root Locus Method - Design Based on the Frequency Response Method
- Introduction - State space presentations of discrete -time systems - Solving discrete -time state space equations - Pulse Transfer function Matrix -
- Continuous -time state space equations - Discretization of Continuous -time state space equations - Lyapunov stability Analysis - Introduction to Controllability and Observability
- Controllability and Observability - Principle of duality - Effect of discretization of a continuous - time control system on controllability and observability - Useful transformations in state space analysis and design - Canonical form - Controllable Canonical form - Observable Canonical form - Jordan canonical form
- Design via pole placement - Ackermann formula - Dead beat response
- State Observers - Error dynamic of the full state observer - Effect of the observer on a closed loop system- Servo systems