Trajectory tracking by TP model transformation: Case study of a benchmark problem

Zoltán Petres, Péter Baranyi, Péter Korondi, Hideki Hashimoto

Research output: Contribution to journalArticle

82 Citations (Scopus)

Abstract

The main objective of this paper is to study the recently proposed tensor-product-distributed-compensation (TPDC)-based control design framework in the case of tracking control design of a benchmark problem. The TPDC is a combination of the tensor product model transformation and the parallel distributed compensation framework. In this paper, we investigate the effectiveness of the TPDC design. We study how it can be uniformly and readily executed without analytical derivations. We show that the TPDC is straightforward and numerically tractable, and is capable of guarantying various different control performances via linear matrix inequality (LMI) conditions. AU these features are studied via the state feedback trajectory control design of the translational oscillations with an eccentric rotational proof mass actuator system. The trajectory tracking capability for various tracking commands is optimized here by decay rate LMI conditions. Constraints on the output and control of the closed-loop system are also considered by LMI conditions. We present numerical simulations of the resulting closed-loop system to validate the control design.

Original languageEnglish
Pages (from-to)1654-1663
Number of pages10
JournalIEEE Transactions on Industrial Electronics
Volume54
Issue number3
DOIs
Publication statusPublished - Jun 2007

Keywords

  • Linear matrix inequalities (LMIs)
  • Parallel distributed compensation (PDC)
  • Tensor product (TP) model transformation
  • Trajectory command tracking
  • Translational oscillations with an eccentric rotational proof mass actuator (TORA)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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