Title :
On computation of nonlinear balanced realization and model reduction
Author :
Fujimoto, Kenji ; Tsubakino, Daisuke
Author_Institution :
Dept. of Mech. Sci. & Eng., Nagoya Univ.
Abstract :
In this paper a computational algorithm for nonlinear balanced realization and model reduction based on Taylor series expansion is proposed. This algorithm requires recursive computations with respect to the order of the Taylor series in which we need to solve linear equations with unknown parameters in each step. Furthermore, the proposed method is applied to a double pendulum system. Some numerical simulations demonstrate the effectiveness of the proposed algorithm
Keywords :
nonlinear control systems; pendulums; reduced order systems; series (mathematics); Taylor series expansion; computational algorithm; double pendulum system; linear equations; model reduction; nonlinear balanced realization; recursive computations; Closed-form solution; Controllability; Differential equations; Nonlinear equations; Nonlinear systems; Numerical simulation; Observability; Partial differential equations; Reduced order systems; Taylor series;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1655399
