Aims: To provide an understanding of the design of closed loop controllers in the time domain and their practical implementation. To introduce students to the analysis and design of systems with non-linearities in the system plant. To illustrate the use of frequency domain graphical techniques for analysing designing both linear and non-linear systems.
Learning Outcomes:
After completing this module, students should be able to: Calculate the eigenvalues and eigenvectors of any linear continuous time plant; Use the above to determine the observability and controllability of plant dynamic modes and design controllers to change their modal frequencies; Use the "Describing Function" method to analyse non-linear systems; Use small signal linearization techniques to linearise non-linear systems.
Skills:
Students will learn the basic principles behind currently used techniques in control engineering. Students will be able to design modal controllers for linear systems with both partial and full-state. Students will be able to use Nyquist and Inverse Nyquist plots to analyse system stability and to design closed loop controllers. Taught, facilitated and assessed.
Content:
Design of linear systems in the time domain, observability and controllability; Simple modal Synthesis; Nyquist and Inverse Nyquist plots; Design of full and partial state feedback using Inverse Nyquist plots; Small signal linearization of non-linear systems; The use of the "Describing Function" method for analysing non-linear systems.
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