Control System I: EEE 401

Course Syllabus and Reference texts: View Download

Study Materials:

Block diagram reduction techniques Download PDF 1 Download PDF 2 (external links)

Term Final Question Distribution:

Students are advised to check the question of last years term final exam for information regarding question distribution of both sections. The question distribution will be identical.

Class Test 1:

Date: 16th March, 2013. (Saturday)

Time: 10:05 am

Location: Room No.: 539, ECE building

Duration: 24 minutes

Full marks: 20

Syllabus:

Introduction: System and system response characteristics, test waveforms used in control system engineering.

Modelling in frequency domain: Review of Laplace transform and inverse Laplace transformation, Block diagram, Transfer function, Mathematical modelling of a DC motor (field control and armature control), mechanical systems, gears and rotational systems, electromechanical systems,

Modelling in the time domain: State space approach, state space representation, converting from state space to a transfer function, converting transfer function to a state space.

Reduction of multiple subsystems: Block diagram reduction techniques, Signal Flow Graph (SFG), Mason's rules, SFG from state equations, Implementation of a transfer function from a given set of blocks.

Any other topics covered in class are also included in the syllabus.

Question of Class Test 1: Download

Solution of Class Test 1: Download

Marks of Class Test 1: Download

Class Test 2:

Date: April 30, 2013. (Tuesday)

Time: 11:05 am

Location: Room No.: 539, ECE building

Duration: 24 minutes

Full marks: 20

Syllabus:

Time response and Second order system: Transient response and steady state response, Poles and zeros, effect of poles and zeros on system response, general second order system, underdamped, undamped and overdamped system, step response of second order systems, calculation of peak time, settling time, rise time and percent overshoot, damping ratio, natural frequency and damped frequency, effect of position of poles on transient response, system response with additional poles, system response with zeros, nonminimal phase system, second order system approximation, pole-zero cancellation.

Steady state error: System type number, steady state error for step, ramp and parabolic inputs, steady state error for open loop and closed loop systems.

Sensitivity: Definition of sensitivity, sensitivity of a system on its open loop transfer function and feedback path gain.

Stability: Definition of stability, BIBO definition of stability, stability criterion and position of polse, stability analysis from observation, Routh-Hurwitz Criterion for stability.

Any other topics covered in class are also included in the syllabus.

Question of Class Test 2: Download

Solution of Class Test 2: Download

Marks of Class Test 2: Download

Class Test 3:

Date: May 30, 2013. (Thursday)

Time: 8:15 am

Location: Room No.: 539, ECE building

Duration: 25 minutes

Full marks: 20

Syllabus:

Root locus: Definition of root locus, open loop transfer function and closed loop transfer function, relationship between open loop poles and zeros with closed loop poles and zeros, magnitude condition and angle condition, root locus drawing techniques, number of branches, locus start and end points, real axis locus formulation, break away/break in point calculation, asymptotes of locus as s approaches infinity, imaginary axis crossing point, complex poles and angle of departure, Grant's rule, drawing root locus for parameters other than gain parameter (K), dominant branch, dominant poles, value of gain for dominant poles, calculation of other poles etc.

Root locus compensation design: Definition of of compensation, cascade compensation and feedback compensation, objective of compensation and change of root locus, changing the root locus for improving transient response and steady state response, Ideal integral compensator (PI) design, lag compensator design, ideal derivative compensator (PD) design, lead compensator design, PID controller design, lag-lead compensator design, circuit implementation of different compensators, block diagrams of different compensator.

Any other topic covered in class is also included in the syllabus.

Question of Class Test 3: Download

Solution of Class Test 3: Download

MATLAB Code of Class Test 3: Download

Marks of Class Test 3: Download

Class Test 4:

Date: June 18, 2013. (Tuesday)

Time: 11:55 am

Location: Room No.: 539, ECE building

Duration: 25 minutes

Full marks: 20

Syllabus:

Frequency Response Techniques: Introduction, Asymptotic approximation and Bode plots, Nyquist criterion and Nyquist diagram, stability via Nyquist diagram, gain margin and phase margin from Nyquist plot, gain margin, phase margin and stability from Bode plots, Relationship between open loop and closed loop frequency responses, Relationship between closed loop transient and closed loop frequency responses, Nichols chart, Damping ratio from phase margin etc.

Design via frequency response: Transient response via gain adjustment, steady state error improvement and transient characteristics improvement using cascade compensators, lag compensator design, lead compensator design, phase margin adjustment, gain crossover frequency shift etc.

Digital Control System: Introduction, modeling the digital computer, zero order hold, z-transform, mapping into z-domain, stability from z-domain etc.

Any other topic covered in class is also included in the syllabus.

Question of Class Test 4: Download

Marks of Class Test 4: Download