Design of controllers using pole-zero compensators

Module overview. Frequency-response design is popular primarily because it provides good designs in the face of uncertainty in the plant model. In order to design control systems with good performance the relationships between performance indices in the time and frequency domains are discussed in detail. Based on these, the rules and prerequisites of using a dominant pair of poles are introduced. The systematic design of controllers using lead and lag elements is described in detail and a comprehensive example shows the effectiveness of these methods. The methods are completely conducted using only frequency-response characteristics shown by Bode diagrams. In the sequel, design using the root-locus method counterpart of this design is outlined.

Module objectives. When you have completed this module you should be able to:

1. Judge and measure the performance of control systems in the frequency domain.
2. Design systematically controllers using lead lag elements by Bode diagrams.
3. Apply the root-locus method to design pole zero compensators.

Module prerequisites. Performance indices, frequency response, Bode diagram, Nyquist diagram, root-locus method.