12-04-2014, 02:02 PM
MIC 6103 DIGITAL CONTROL
DIGITAL CONTROL[.docx (Size: 13.93 KB / Downloads: 15)
Introduction
Control system terminology, control theory history and trends, computer-based control. An overview of classical approach to analog controller design. Basic digital control scheme.
Signal processing in digital control
Principles of signal conversion, Basic discrete time signals, Time domain models for discrete-time systems. Transfer function models, Stability on the Z-plane and jury stability criterion. Sampling as impulse modulation, Sampled spectra and aliasing. Filtering, choice of sampling rate, Principles of discretisation. Routh stability criterion on the r-plane.
Models of Digital Control Devices and Systems
Z-domain description of sampled continuous-time plants and systems with dead-time, Digital Controller design using direct synthesis procedures.
Control System Analysis using State Variable Methods for Digital Control Systems
State variable representation, Conversion of state variable models to transfer function and of transfer function to canonical state variable models, Eigen values and Eigen vectors, Solution of state difference equations, controllability and Observability, Multivariable system.
Pole-Placement Design and State Observers
Stability improvement by state feedback, Necessary and sufficient conditions for arbitrary pole-placement. State regulator design, Design of state observer. Compensator design by separation principle. Servo design. State feedback with integral control., Deadbeat control by state feedback and deadbeat observers.
Lyapunov stability analysis
Basic concepts, Stability definitions and theorems, Lyapunov functions for linear and non linear systems, A model reference adaptive system.
Linear Quadratic Optimal Control
Parameter optimization and optimal control, Quadratic performance index, control configurations, State regulator design through the Lyapunov equation, Optimal state regulator through the Matrix Riccati-equation for digital control systems.