Concurrent learning adaptive control of linear systems with exponentially convergent bounds

Girish Chowdhary, Tansel Yucelen, Maximillian Mühlegg, Eric N. Johnson

Research output: Contribution to journalArticlepeer-review

134 Scopus citations

Abstract

Concurrent learning adaptive controllers, which use recorded and current data concurrently for adaptation, are developed for model reference adaptive control of uncertain linear dynamical systems. We show that a verifiable condition on the linear independence of the recorded data is sufficient to guarantee global exponential stability. We use this fact to develop exponentially decaying bounds on the tracking error and weight error, and estimate upper bounds on the control signal. These results allow the development of adaptive controllers that ensure good tracking without relying on high adaptation gains, and can be designed to avoid actuator saturation. Simulations and hardware experiments show improved performance.

Original languageEnglish (US)
Pages (from-to)280-301
Number of pages22
JournalInternational Journal of Adaptive Control and Signal Processing
Volume27
Issue number4
DOIs
StatePublished - Apr 1 2013

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Electrical and Electronic Engineering

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