Development of verification and validation approaches for ℒ 1 adaptive control: Multi-criteria optimization for filter design

Kwang Ki Kevin Kim, Naira Hovakimyan

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

Abstract

The problem of optimal trade-off-between robustness, in terms of time-delay margin, and performance of the ℒ 1 adaptive controller, is investigated in this paper. Although the architectures of the ℒ 1 adaptive control theory can be systematically tuned to trade-off performance for robustness, there is no methodology as of today for the design of the underlying filter towards obtaining the optimal performance. We present design schemes based on search for the design parameters or coefficients of the filter. We introduce filters of specific structures to satisfy the design specifications and investigate their properties over the space of the design parameters. We also borrow greedy randomized algorithms to analyze the system performance and robustness in the presence of uncertainties. In addition, we compute approximated sets of acceptable design parameters in both analytical and numerical ways. Illustrative examples show that these methods can achieve the desired control design specifications.

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

Kim, K. K. K., & Hovakimyan, N. (2010). Development of verification and validation approaches for ℒ 1 adaptive control: Multi-criteria optimization for filter design. In AIAA Guidance, Navigation, and Control Conference [AIAA 2010-7691] (AIAA Guidance, Navigation, and Control Conference). https://doi.org/10.2514/6.2010-7691