Course Information

Course Code:
Course Number:
Code Course Name Language Type
UZB 425 Digital Control Design Turkish Elective
Local Credits ECTS Theoretical Tutorial Laboratory
3 5 3 0 0
Course Prerequisites and Class Restriction
Prerequisites UCK 203 MIN DD
or UCK 203E MIN DD
or ELK 221 MIN DD
or ELK 221E MIN DD
Class Restriction None
Course Description
Discrete-time signals and systems. Difference equations. Z transform: unit impulse, unit step, exponential functions. Properties of Z transform: linearity, time delay, time advance, multiplication with exponential, complex differentiation. Inverse Z transform: long division, partial fraction expansion. Final value theorem. Z transform solution of difference equations. Time response of discrete-time systems. Frequency response of discrete-time systems. Sampling theorem. Selection of sampling frequency. Modeling of discrete-time systems: analog to digital converter (ADC), digital to analog converter (DAC), zero-order hold, sampler. Systems with transport lag. Transfer function of analog subsystem with converters. Closed-loop transfer function. Analog disturbances in digital systems. Steady-state error. Stability of digital control systems. Stability conditions: asymptotic stability, bounded input bounded output stability, internal stability. Nyquist criterion. Bode plot. Phase and gain margin. Control system specifications: rise time, settling time, time-to-peak overshoot, peak overshoot, steady-state error and others. Root locus. P, PD, PI, PID controllers. Z domain root locus. Z domain implementations of analog controllers. Direct Z domain design. Frequency response design. Direct controller synthesis. Finite settling time design (deadbeat controller). Microcontroller based implementation application.