Robust nonlinear stability and performance analysis of an F/A‐18 aircraft model using sum of squares programming. (14th December 2012)

• Record Type: Journal Article
• Authors: Anderson, James; Papachristodoulou, Antonis; van de Wouw, N.; Heertjes, M. F.; Nijmeijer, H.
• Is Part Of: International journal of robust and nonlinear control. Volume 23:Number 10(2013)
• Page Start: 1099
• Page End: 1114
• Publication Date: 2012-12-14
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.2928
• Languages: English
• ISSNs: 1049-8923

Abstract

<abstract abstract-type="main" id="rnc2928-abs-0001"> <title>SUMMARY</title> <p id="rnc2928-para-0001">In this paper, we develop algorithms for the computational analysis of stability and robust performance properties of nonlinear models governed by polynomial differential equations in quasi‐Linear Parameter Varying form subject to parametric uncertainty. The methods presented use the sum of squares decomposition and ideas from real algebraic geometry to represent polynomial non‐negativity over closed sets to compute various system properties such as <inline-graphic mimetype="image" xlink:href="ark:/27927/pgg20q1hkxr" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="block" altimg="urn:x-wiley:10498923:media:rnc2928:rnc2928-math-0001" overflow="scroll" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi mathvariant="script">L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> gain, regions of attraction, reachable sets and nonlinear Hankel norm approximations. The methods we present are then illustrated on a nonlinear model of an F/A‐18 aircraft short‐period dynamics subject to uncertainty in the aerodynamic coefficients. Copyright © 2012 John Wiley &amp; Sons, Ltd.</p> </abstract>