Title :
Reachability-based approach for ℒ2 gain approximation of polynomial systems
Author :
Siahaan, Hardy B. ; Aamo, Ole M. ; Foss, Bjarne A.
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol. (NTNU), Trondheim, Norway
Abstract :
This paper considers a computational mechanism to approximate a class of polynomial systems with a reduced order model. The approach is based on estimate of the reachability set and a finite gain ℒ2 stability condition. The approach benefits from the use of sum of squares programming where the computation is rendered tractable.
Keywords :
controllability; nonlinear control systems; observability; polynomial approximation; reachability analysis; stability; ℒ2 gain approximation; computational mechanism; controllability function; finite gain ℒ2 stability condition; nonlinear systems; observability function; polynomial systems; reachability based approach; reachability set estimation; reduced order model; sum of squares programming; Couplings; Linear systems; Nonlinear systems; Polynomials; Programming; Reduced order systems; Symmetric matrices;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
