Robust nonlinear stability and performance analysis of an F/A‐18 aircraft model using sum of squares programming
Robust nonlinear stability and performance analysis of an F/A‐18 aircraft model using sum of squares programming
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DOI：
10.1002/rnc.2928
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发表时间：
2013-07
影响因子：
3.9
通讯作者：
James Anderson;A. Papachristodoulou
中科院分区：
文献类型：
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作者：
James Anderson;A. Papachristodoulou
在本文中，我们开发的算法的计算分析的稳定性和鲁棒性能的非线性模型的多项式微分方程的准线性参数变化形式的参数不确定性。所提出的方法使用平方和分解和来自真实的代数几何的思想来表示闭集上的多项式非负性，以计算各种系统属性，例如L2增益，吸引区域，可达集和非线性Hankel范数近似。我们提出的方法，然后说明了一个非线性模型的F/A-18飞机短周期动力学的气动系数的不确定性。版权所有© 2012约翰威利父子有限公司.
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 L2 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 & Sons, Ltd.