Title :
L2 Gain Approximation of Nonlinear Systems: a Heuristic Approach
Author :
Siahaan, Hardy B.
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim
Abstract :
This paper considers a computational mechanism to approximate a very restricted class of polynomial nonlinear system with a reduced order model. First a necessary condition for the nonlinear system to have a reduced model is given. Then a heuristic approach which utilizes the necessary condition is established. The method computes a reduced model for the nonlinear system such that the error model is finite gain Lscr2 stable
Keywords :
asymptotic stability; nonlinear systems; poles and zeros; polynomials; reduced order systems; Lscr2 gain approximation; Lscr2 stability; polynomial nonlinear system; reduced order model; Control system synthesis; Controllability; Functional programming; Linear systems; Nonlinear control systems; Nonlinear systems; Observability; Polynomials; Reduced order systems; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376849
