Newcastle University School of Chemical Engineering and Advanced Materials

Design of Simple Digital Controllers

Part of a set of study notes on Digital Control
by
M. Tham

CONTENTS

Introduction

Direct Synthesis
Dead-beat Controller
Dahlin Controller
Properties of Deadbeat and Dahlin Controllers
Ringing
Pole-placement Controller
Summary
Summary

This set of notes presented very briefly, the principles behind the design of simple digital controllers. From the preceding pages, there are several key points to note:

  • Essentially, digital controllers are designed based on process models, and with very few exceptions, the designs begin with the specification of some desired closed loop properties.

  • Different controllers of different complexities will result, depending on the criterion and the form of the process model. This set of notes introduced the use of the Synthesis Equation to derive model based controllers.

  • While the focus has been on the dead-beat and Dahlin controllers, many of their features and limitations can be found in other modern control algorithms.

  • One of these, the pole-placement controller, was briefly mentioned not only to show that other design methods are possible, but to also show that these are all related in some manner.

  • At the end of the day, given a firm grasp of the basics and armed with the necessary mathematical and simulation tools, numerous digital controllers that are able to perform various tasks can be formulated. The proof of the pudding is whether the candidate controller is robust enough to be implemented safely on real processes, with their inherent non-linear characteristics and time-varying behaviour.

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© Copyright M.T. Tham (1996-2009)Goto Ming's Home Page
Please email errors, comments or suggestions to ming.tham@ncl.ac.uk.