Course Purpose
This course introduces students to the analysis, modelling, design, and simulation of linear control systems. It provides foundational knowledge in feedback control, system stability, time and frequency response analysis, and computer-aided control engineering tools such as MATLAB and SIMULINK for solving practical engineering problems.
Course Learning Outcomes
- Explain the principles and classifications of linear control systems, including feedback control concepts and system representations.
- Analyze transient response, steady-state response, and stability characteristics of first-order and second-order control systems.
- Apply control system analysis and design techniques such as Routh stability criterion, root locus, Bode plots, and Nyquist plots.
- Develop and simulate control system models using computer-aided engineering tools such as MATLAB and SIMULINK.
Course Content
- Introduction to Control Systems – Covers the
fundamental concepts of linear control systems including open-loop
and closed-loop systems together with examples of simple control systems.
- System Classification and Properties – Introduces
the classification of systems such as linear and nonlinear systems,
continuous-time and discrete-time systems, time-variant and
time-invariant systems, and SISO and MIMO systems together with
system order and type.
- Feedback Dynamics and Effects – Discusses feedback
control systems including positive and negative feedback, effects
of feedback on system response, and the advantages and disadvantages
of feedback in engineering systems.
- Mathematical Modelling of Control Systems – Focuses
on system representation using differential equations, transfer
functions, poles, zeros, impulse response, and mathematical analysis
techniques for control systems.
- Block Diagrams, Signal Flow Graphs, and Mason’s Rule
– Covers graphical methods of representing systems including block
diagrams, signal flow graphs, and the application of Mason’s Rule
for system analysis.
- Transient and Steady-State Response – Examines the
transient and steady-state response of first-order and second-order
systems including delay time, rise time, peak time, settling time,
maximum overshoot, and steady-state error analysis.
- Stability and the Routh-Hurwitz Criterion –
Introduces stable and unstable systems, characteristic equations,
root locations in the s-plane, and the use of Routh’s stability
criterion for stability analysis.
- Root Locus Method – Covers root loci, plotting
techniques, interpretation of root locus diagrams, and system
design using root locus methods together with computer-aided analysis.
- Frequency Response Analysis – Discusses Bode plots,
Nyquist plots, Nichols charts, gain margin, phase margin, and
computer-aided plotting techniques for frequency response analysis.
- Control System Modelling, Simulation, and Case Studies
– Focuses on simulation and analysis of control systems using
computer-aided engineering software such as MATLAB Control Systems
Toolbox and SIMULINK together with practical engineering case studies.
