Integral control of infinite-dimensional systems in the presence of hysteresis: An input-output approach

Hartmut Logemann, Eugene P. Ryan, Ilya Shvartsman

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

This paper is concerned with integral control of systems with hysteresis. Using an input-output approach, it is shown that application of integral control to the series interconnection of either (a) a hysteretic input nonlinearity, an L2-stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an L2-stable, time-invariant linear system and a hysteretic output nonlinearity, guarantees, under certain assumptions, tracking of constant reference signals, provided the positive integrator gain is smaller than a certain constant determined by a positivity condition in the frequency domain. The input-output results are applied in a general state-space setting wherein the linear component of the interconnection is a well-posed infinite-dimensional system.

Original languageEnglish (US)
Pages (from-to)458-483
Number of pages26
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume13
Issue number3
DOIs
StatePublished - Jul 1 2007

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Infinite-dimensional Systems
Hysteresis
Linear systems
Output
Nonlinearity
Interconnection
Linear Systems
Invariant
Positivity
Frequency Domain
Lipschitz
State Space
Series

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

Cite this

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Integral control of infinite-dimensional systems in the presence of hysteresis : An input-output approach. / Logemann, Hartmut; Ryan, Eugene P.; Shvartsman, Ilya.

In: ESAIM - Control, Optimisation and Calculus of Variations, Vol. 13, No. 3, 01.07.2007, p. 458-483.

Research output: Contribution to journalArticle

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