Adaptive Output Feedback Based on Closed-Loop Reference Models for Hypersonic Vehicles
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WIESE_GNC_2015_PREPRINT.pdf
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1.6 MB
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Adobe PDF
Checksum (MD5)
75f7e389bff10e48b0c7b9f46eb16837
Author(s)
Wiese, Daniel P.
Annaswamy, Anuradha M.
Muse, Jonathan A.
Bolender, Michael A.
Lavretsky, Eugene
Date Issued
March 9, 2016
Abstract
This paper presents a new method of synthesizing an output feedback adaptive controller for a class of uncertain, non-square, multi-input multi-output systems that often occur in hypersonic vehicle models. The main challenge that needs to be addressed is the determination of a corresponding square and strictly positive real transfer function. This paper proposes a new procedure to synthesize two gain matrices that allows the realization of such a transfer function, thereby allowing a globally stable adaptive output feedback law to be generated.
The unique features of this output feedback adaptive controller are a baseline controller that uses a Luen- berger observer, a closed-loop reference model, manipulations of a bilinear matrix inequality, and the Kalman- Yakubovich Lemma. Using these features, a simple design procedure is proposed for the adaptive controller, and the corresponding stability property is established. The proposed adaptive controller is compared to the classical multi-input multi-output adaptive controller.
A numerical example based on a 6 degree-of-freedom nonlinear, scramjet powered, blended wing-body generic hypersonic vehicle model is presented. The adaptive output feedback controller is applied to result in stable tracking of uncertainties that destabilize the baseline linear output feedback controller.
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