On the LPV control design and its applications to some classes of dynamical systems

Franco Blanchini, Daniele Casagrande, Giulia Giordano, Stefano Miani

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)

Abstract

In this chapter, a control design approach based on linear parametervarying (LPV) systems, which can be exploited to solve several problems typically encountered in control engineering, is presented. By means of recent techniques based on Youla–Kucera parametrization, it is shown how it is possible not only to design and optimize stabilizing controllers, but also to exploit the structure of the Youla–Kucera parametrized controller to face and solve side problems, including: (a) dealing with nonlinearities; (b) taking into account control input constraints; (c) performing controller commutation or online adaptation, e.g., in the presence of faults; and (d) dealing with delays in the system. The control scheme is observerbased, namely a prestabilizing observer-based precompensator is applied. Consequently, a Youla–Kucera parameter is applied to produce a supplementary input ignition, which is a function of the residual value (the difference between the output and the estimated output). Based on the fact that any stable operator which maps the residual to the supplementary input preserves stability, several additional features can be added to the compensator, without compromising the loop stability.

Original languageEnglish
Title of host publicationDevelopments in Model-Based Optimization and Control
Subtitle of host publicationDistributed Control and Industrial Applications
PublisherSpringer
Pages319-338
Number of pages20
Volume464
ISBN (Print)9783319266855
DOIs
Publication statusPublished - 1 Jan 2015
Externally publishedYes

Publication series

NameLecture Notes in Control and Information Sciences
Volume464
ISSN (Print)0170-8643

Keywords

  • Actuator and sensor faults
  • Control of saturated systems
  • Linear parameter-varying (LPV) systems
  • Time-delay systems
  • Youla–Kucera parametrization

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