ENME303-16S1 (C) Semester One 2016

Controls and Vibrations

15 points

Start Date: Monday, 22 February 2016
End Date: Sunday, 26 June 2016
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 4 March 2016
  • Without academic penalty (including no fee refund): Friday, 20 May 2016


Design and analysis of feedback control systems for dynamic systems. Focus is on using these tools for design and problem solving using classical feedback control methods, including: Laplace transforms, block diagrams, dynamic response, steady-state error analysis, stability analysis, root locus plots, frequency response analysis.

To lay the foundation of modeling dynamic and vibratory systems in the frequency domain, and the use of such models in dynamic analysis, stability analysis and feedback control systems design. Students will thus gain the ability to interpret and solve problems using classical control methods for continuous time and discrete time systems.

Learning Outcomes

On successful completion of this course students will be able to:
 Derive equations of motion of mechanical systems (machine elements and machines) and transform them into the Laplace / Frequency domain
 Analyse mechanical systems for linear behaviour and stability (or instability) in the Laplace domain and transform those solutions into the time domain (for analysis or interpretation)
 Analyse vibrating mechanical systems for primary response characteristics (natural frequency, damping), and their response to dynamic excitation in both the time and frequency domains.
 Design and analyse feedback control systems, including assessing their performance in a range of analytical methods (including Bode, Root Locus, Gain and Phase Margin, Routh-Hurwitz, Nyquist plots, and other so-called classical analysis tools)
 Convert systems to state space (time domain) for analysis of vibrations

 More broadly: Take a mechanical system, design the equations of motion, transform solve and analyse it in the frequency domain, design feedback control for desired stability and performance, and interpret the results – The A – to – Z of design, computation, analysis and implementation for feedback control of dynamic systems.
 Broader design, problem solving and analysis skills and experience for dynamic systems
 Use of modern computational tools (Matlab) for design, analysis and problem solving
 Apply these methods and analysis to a wider spectrum of real-life engineering problems




Course Coordinator

Geoff Chase


Assessment Due Date Percentage 
Final exam 40%
Test 1 31 Mar 2016 25%
Test 2 26 May 2016 25%
Lab report 03 Jun 2016 10%

Textbooks / Resources

Recommended Reading

Franklin; Powell; Emami-Naeini;; Feedback Control of Dynamic Systems ; 3rd Edition; Addison-Wesley, 1994 (On hold at the library).

Najim;; Control of Continuous Linear Systems ; (E-book from UoC Library).

Palm; Modeling Analysis and Control of Dynamic Systems ; 2nd Edition; Wiley, 2001.

Sheldon et al;; Linear Control System Analysis and Design with Matlab ; 6TH; 2014.

Stefani, Raymond T. , Hostetter, G. H; Design of feedback control systems ; 3rd ed.; Saunders College Pub/Harcourt Brace Jovanovich College Pub, 1994.

Indicative Fees

Domestic fee $901.00

International fee $4,863.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mechanical Engineering .

All ENME303 Occurrences

  • ENME303-16S1 (C) Semester One 2016