CONTROL THEORY II Mock Exam 1 Mock Exam 1
University of Ilorin
This mock exam for Control Theory II at the University of Ilorin's Computer Engineering department provides a rigorous assessment of core concepts. It covers essential topics such as root locus sketching, detailed analysis of second-order systems including polar plots, and the application of Bode plots for stability margin determination.
About This Exam
This mock exam for Control Theory II at the University of Ilorin's Computer Engineering department provides a rigorous assessment of core concepts. It covers essential topics such as root locus sketching, detailed analysis of second-order systems including polar plots, and the application of Bode plots for stability margin determination.
Topics Covered
Exam Structure
- Question Formattheory
- Total Questions4
- Estimated Duration152 minutes
- Difficulty LevelMedium
Learning Objectives
- •Analyze and sketch root locus plots for open-loop transfer functions.
Prerequisites
Solid understanding of fundamental control system concepts, Laplace transforms, transfer functions, system modeling, and basic calculus. Familiarity with control system analysis tools and techniques is expected.
Sample Questions
Get a taste of what to expect in the full exam.
Sketch the root locus for a system with open loop transfer function given by equation (Q1) assuming .
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Using Bode plot determine the phase and gain margin for the system with transfer function given by equation (Q3) and comment on the system relative stability.
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Assuming the resulting system model from identification process and the controller transfer function are given by equations (Q4a) and (Q4b) respectively. Using both methods due to Ziegler-Nichols assuming ultimate gain () of 26 and ultimate frequency of oscillation () of 15 rad/s, design PID controller for this system and compare the two results.
a) (5 marks) System model from identification process.
b) (5 marks) Controller transfer function.
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How to Prepare
Key Preparation Tips
- Thoroughly review lecture notes and textbook chapters on each topic.
Mistakes to Avoid
- •Errors in calculating root locus break-away/break-in points.
Success Criteria
Achieving a high score (e.g., 70% or above) demonstrates a strong grasp of control theory principles and problem-solving skills. Successfully completing all parts of each question, with accurate derivations and interpretations, indicates readiness for the final examination.
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