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Classical Design Methods

In: Robust Control Systems

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  • Uwe Mackenroth

    (Fachhochschule Lübeck University of Applied Sciences, FB Maschinenbau und Wirtschaftsingenieurwesen)

Abstract

In this chapter, it will be shown how the Nyquist stability criterion can be used to synthesize a PID controller so that the feedback system is in a certain sense robustly stable and fulfills also some specified performance requirements. These properties are typically measured by the phase margin and the gain crossover frequency. The method will be most successfully applied if the plant is stable with the possible exception of a pole at the origin, but even in this case it has limitations if the performance requirements become too complex. We show that in such a situation an improvement can be achieved by generalizing the structure of the classical SISO feedback loop. This leads to a cascade of several controllers, to a two degrees-of-freedom control configuration or to feedforward of the disturbance.

Suggested Citation

  • Uwe Mackenroth, 2004. "Classical Design Methods," Springer Books, in: Robust Control Systems, chapter 0, pages 63-84, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-09775-5_4
    DOI: 10.1007/978-3-662-09775-5_4
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