This unit introduces feedback problems and their solutions. These are low sensitivity design, dynamic characteristics and closed-loop stability, Routh-Hurwitz stability tests, on closed-loop transfer functions, Root locus, frequency response and their interpretations in terms of relative stability and dynamic performance will be treated. Proportional (P), Proportional and Integral (PI), Proportional, Integral and Derivative (PID) controllers, lead, lag and lag-lead compensators will be introduced. Time domain and frequency domain design of lead, lag and lag-lead compensators will be emphasized. The unit also covers state-space models and state-space and transfer function models conversion.

Unit details

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Unit code:


NEE2201 - Linear Systems with Matlab Applications or

Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Articulate and differentiate the purposes and requirements of open-loop and closed-loop control systems;  
  2. Compute an overall transfer function using Mason's Gain Formula and Block Diagram Reduction, as well as apply Routh-Hurwitz test on closed-loop control systems;  
  3. Demonstrate the ability to perform elementary time-domain and frequency-domain analyses of simple control systems;  
  4. Analyse the relative stability and performance of LTI SISO systems by using Root-locus technique and Bode diagram; and  
  5. Design P, PI, PID controllers, lead, lag, lag-lead compensators to meet time-domain and frequency-domain specifications of LTI SISO closed-loop systems.  


Assessment type Description Grade
Laboratory Work Lab Report (1) 15%
Laboratory Work Lab Reports (2) 30%
Test Three Tests (20%, 20%, 15%) 55%

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