Abstract
SUMMARYIn 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 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Robust and Nonlinear Control
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
