Synthesis of H PID controllers

Synthesis of H PID controllers

This paper considers the problem of synthesizing proportional-integral-derivative (PIC) controllers for which the closed-loop system is internally stable and the H norm of a related transfer function is less than a prescribed level for a given single-input single output plant. In our approach, in th...

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Bibliographic Details
Main Author: Burbano Romero, Patricio (author)
Other Authors: Proaño Rosero, Víctor Gonzalo (author)
Format: article
Language:eng
Published: 2007
Subjects:
SISTEMAS DE CONTROL PID
THREE TERM CONTROL SYSTEMS
Online Access:http://bibdigital.epn.edu.ec/handle/15000/9335
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Summary:This paper considers the problem of synthesizing proportional-integral-derivative (PIC) controllers for which the closed-loop system is internally stable and the H norm of a related transfer function is less than a prescribed level for a given single-input single output plant. In our approach, in this paper, this problem is formulated by virtue of the bounded real lemma, as a feasibility problem involving a bilinear matrix inequality (BMI) and solved by means of a sequence of easier auxiliary quadratic optimization problem. The optimal controller is determined through a line search on the non negative real axis.

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