SAMPLED-DATA INTEGRAL CONTROL OF MULTIVARIABLE LINEAR INFINITE-DIMENSIONAL SYSTEMS WITH INPUT NONLINEARITIES

Max E. Gilmore, Chris Guiver, Hartmut Logemann

Research output: Contribution to journalArticlepeer-review

Abstract

A low-gain integral controller with anti-windup component is presented for exponentially stable, linear, discrete-time, infinite-dimensional control systems subject to input nonlinearities and external disturbances. We derive a disturbance-to-state stability result which, in particular, guarantees that the tracking error converges to zero in the absence of disturbances. The discrete-time result is then used in the context of sampled-data low-gain integral control of stable well-posed linear infinite-dimensional systems with input nonlinearities. The sampled-date control scheme is applied to two examples (including sampled-data control of a heat equation on a square) which are discussed in some detail.

Original languageEnglish
Pages (from-to)17-47
Number of pages31
JournalMathematical Control and Related Fields
Volume12
Issue number1
DOIs
Publication statusPublished - 31 Mar 2022

Keywords

  • Anti-windup methods
  • Discrete-time
  • Input-to-state stability
  • Integral control
  • Quantization
  • Sampled-data control
  • Saturation
  • Well-posed infinite-dimensional systems

ASJC Scopus subject areas

  • Control and Optimization
  • Applied Mathematics

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