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. Linear state-variable (including estimated state) feedback controllers will also be introduced.

Unit details

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Credit points:
Unit code:


NEE2201 - Linear Systems with Matlab Applications

NEE2201 OR ENE2201

Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Competently state and differentiate the purposes and requirements of open-loop and closed-loop control systems;  
  2. Correctly calculate an overall transfer function by the use of both Mason's Gain Formula and Block Diagram Reduction as well as competently perform 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. Competently use Root-locus technique and Bode diagram to analyse the relative stability and performance of LTI SISO systems;  
  5. Proficiently design P, PI, PID controllers, lead, lag, lag-lead compensators and linear state-variable (including estimated state) feedback controllers to meet time-domain and frequency-domain specifications of LTI SISO closed-loop systems.  


Assessment type Description Grade
Laboratory Work Three Lab Reports (1500 words each) 30%
Test Two Semester Tests (1 hour each) 20%
Examination End-of-Semester Examination (3 hours) 50%

Required reading

Modern Control Systems. 13th ed.,
R.C. Dorf & R.H. Bishop (2017).
Upper Saddle River, N.J. Prentice Hall.

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