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Bounded Linear Stability Analysis - A Time Delay Margin Estimation Approach for Adaptive ControlThis paper presents a method for estimating time delay margin for model-reference adaptive control of systems with almost linear structured uncertainty. The bounded linear stability analysis method seeks to represent the conventional model-reference adaptive law by a locally bounded linear approximation within a small time window using the comparison lemma. The locally bounded linear approximation of the combined adaptive system is cast in a form of an input-time-delay differential equation over a small time window. The time delay margin of this system represents a local stability measure and is computed analytically by a matrix measure method, which provides a simple analytical technique for estimating an upper bound of time delay margin. Based on simulation results for a scalar model-reference adaptive control system, both the bounded linear stability method and the matrix measure method are seen to provide a reasonably accurate and yet not too conservative time delay margin estimation.
Document ID
20100038437
Acquisition Source
Ames Research Center
Document Type
Conference Paper
Authors
Nguyen, Nhan T. (NASA Ames Research Center Moffett Field, CA, United States)
Ishihara, Abraham K. (Carnegie-Mellon Univ. Moffett Field, CA, United States)
Krishnakumar, Kalmanje Srinlvas (NASA Ames Research Center Moffett Field, CA, United States)
Bakhtiari-Nejad, Maryam (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 25, 2013
Publication Date
August 10, 2009
Subject Category
Aerodynamics
Report/Patent Number
AIAA Paper 2009-5968
ARC-E-DAA-TN782
Meeting Information
Meeting: AIAA Guidance, Navigation, and Control
Location: Chicago, IL
Country: United States
Start Date: August 10, 2009
Sponsors: American Inst. of Aeronautics and Astronautics
Funding Number(s)
WBS: WBS 457280.02.07.01.02.01
Distribution Limits
Public
Copyright
Public Use Permitted.

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