A hierarchical approach to data-driven LPV control design of constrained systems

Dario Piga, Simone Formentin, Roland Tóth, Alberto Bemporad, Sergio Matteo Savaresi

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

Modeling is recognized to be one of the toughest and most time-consuming tasks in modern nonlinear control engineering applications. Linear parameter-varying (LPV) models deal with such complex problems in an effective way, by exploiting well-established tools for linear systems while, at the same time, being able to accurately describe highly nonlinear and time-varying plants. When LPV models are derived from experimental data, it is difficult to estimate a priori how modeling errors will affect the closed-loop performance. In this work, a method is proposed to directly map data onto LPV controllers. Specifically, a hierarchical structure is proposed both to maximize the system performance and to handle signal constraints. The effectiveness of the approach is illustrated via suitable simulation tests.

Original languageEnglish
Title of host publicationData-Driven Modeling, Filtering and Control
EditorsCarlo Novara , Simone Formentin
PublisherInstitution of Engineering and Technology
Chapter11
Pages213-237
Number of pages25
ISBN (Electronic)9781785617133
ISBN (Print)9781785617126
DOIs
Publication statusPublished - Jul 2019

Keywords

  • Closed loop systems
  • Constrained systems
  • Control system analysis and synthesis methods
  • Control system synthesis
  • Data-driven LPV control design
  • Hierarchical structure
  • Linear closed-loop performance
  • Linear parameter varying systems
  • Linear parameter-varying models
  • Nonlinear control engineering
  • Nonlinear control systems
  • Time-consuming tasks

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