Positive invariance set of ℒ 1 adaptive controller in the presence of input saturation

Dapeng Li, Naira Hovakimyan, Chengyu Cao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

For a class of linear dynamical systems with constant unknown parameters an ℒ 1 adaptive control framework is developed that provides stable adaptation in the presence of input constraints. For open-loop stable systems the results are global. For open-loop unstable systems the derivation of the non-empty positive invariant set is cast into a linear matrix inequality (LMI) framework, which can be solved numerically via an appropriate toolbox of convex optimization. Performance bounds of the ℒ 1 adaptive closed-loop system are analyzed to capture the impact of the input saturation. A simulation is given to verify the theoretical statements.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control Conference
DOIs
StatePublished - Dec 1 2010
EventAIAA Guidance, Navigation, and Control Conference - Toronto, ON, Canada
Duration: Aug 2 2010Aug 5 2010

Publication series

NameAIAA Guidance, Navigation, and Control Conference

Other

OtherAIAA Guidance, Navigation, and Control Conference
CountryCanada
CityToronto, ON
Period8/2/108/5/10

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ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering

Cite this

Li, D., Hovakimyan, N., & Cao, C. (2010). Positive invariance set of ℒ 1 adaptive controller in the presence of input saturation. In AIAA Guidance, Navigation, and Control Conference [AIAA 2010-7535] (AIAA Guidance, Navigation, and Control Conference). https://doi.org/10.2514/6.2010-7535