1 adaptive augmentation of gain-scheduled controller for racetrack maneuver in aerial refueling

Jiang Wang, Naira Hovakimyan, Chengyu Cao

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

Abstract

In this paper we present the ℒ1 adaptive controller for time-varying reference systems. This extension is motivated by the need for augmentation of baseline gain-scheduled controller, which naturally leads to a time-varying reference system. Keeping this in mind, the synthesis of ℒ1 adaptive controller in this paper pursues two objectives. First, the adaptive augmentation must recover the nominal performance of the gainscheduled controlled system at different operating points, without overruling the performance of the baseline controller. Second, the design of the adaptive augmentation should be pursued in a way so that in the absence of uncertainties the output of it is zero. Thus, the adaptive augmentation must include the dynamics of the closedloop system, controlled by the baseline gain-scheduled controller, as a part of its feedback. The dynamics of the gain-scheduled controller change dependent upon the scheduling variables, resulting in a time-varying closed-loop reference system with a "slow rate" of variation. In this paper, we analyze the stability and the performance of the ℒ1 adaptive controller for a time-varying reference system. We show that the ℒ1 adaptive augmentation of the baseline gain-scheduled controller does not require a "slower rate" of variation for the scheduling variables, used in the design of baseline gain-scheduled controller. The performance of the gainscheduled controller can be retained by uniformly increasing the rate of adaptation. We further illustrate how the theory can be used for adaptive augmentation of a baseline gain-scheduled controller by simulating racetrack maneuver of autonomous aerial refueling.

Original languageEnglish (US)
Title of host publicationAIAA Guidance, Navigation, and Control Conference and Exhibit
StatePublished - Dec 1 2009
EventAIAA Guidance, Navigation, and Control Conference and Exhibit - Chicago, IL, United States
Duration: Aug 10 2009Aug 13 2009

Publication series

NameAIAA Guidance, Navigation, and Control Conference and Exhibit

Other

OtherAIAA Guidance, Navigation, and Control Conference and Exhibit
CountryUnited States
CityChicago, IL
Period8/10/098/13/09

ASJC Scopus subject areas

  • Aerospace Engineering
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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    Wang, J., Hovakimyan, N., & Cao, C. (2009). 1 adaptive augmentation of gain-scheduled controller for racetrack maneuver in aerial refueling. In AIAA Guidance, Navigation, and Control Conference and Exhibit [2009-5739] (AIAA Guidance, Navigation, and Control Conference and Exhibit).