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.
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.
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.
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.