Analysis and Control of Linear Systems

Chapter 13: Methodology of the State Approach Control

Chapter written by Philippe CHEVREL.

Designing the autopilot of a multivariable process, be it quasi-linear, represents a delicate thing. If the theoretical and algorithmic tools concerning the analysis and control of multivariable linear systems have largely progressed during the last 40 years, designing a control law is left to the specialist. The best engineer still has difficulties in applying his knowledge related to multivariable control acquired during his automation course. It is not a mater here to question the interest and importance of automation in the curriculum of an engineer but to stress the importance of methodology . The teaching of a control methodology , coherently reuniting the various fundamental automation concepts, is the sine qua non condition of a fertile transfer of knowledge from laboratories toward industry.

The methodological challenge has been underestimated for a long time. How else can we explain the little research effort in this field? It is, however, important to underline among others (and in France) the efforts of de Larminat [LAR 93], Bourl s [BOU 92], Duke [DUC 99], Bergeon [PRE 95] or Magni [MAG 87] pertaining to multivariable control methodology.

This chapter deals with a state-based control methodology which is largely inspired by the standard state control suggested by de Larminat [LAR 00].

13.1. Introduction

Controlling a process means using the methods available for it in order to adjust its behavior to what is needed. The control applied in time uses information (provided by the sensors) concerning the state of the process to react...

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