Title :
Generating parameter-dependent linear families from nonlinear dynamics
Author :
Kwatny, Harry G. ; Chang, B.C.
Author_Institution :
Dept. of Mech. Eng. & Mech., Drexel Univ., Philadelphia, PA, USA
Abstract :
Generating families of linear models from nonlinear parameter-dependent equations requires explicit analytical characterization of the equilibrium surface. Doing so in terms of the original system parameters is generally not possible. Introducing an alternative parametrization, we propose an efficient method for computing local linear parameter-dependent families. Although local, these families can be constructed anywhere, specifically around bifurcation points where other methods fail
Keywords :
aircraft control; bifurcation; dynamics; linearisation techniques; nonlinear control systems; partial differential equations; symbol manipulation; aircraft control; bifurcation; equilibrium surface; linear models; linearisation; nonlinear control systems; nonlinear dynamics; nonlinear parameter-dependent equations; parametrization; partial differential equation; symbolic computation; Aircraft; Bifurcation; Differential equations; Jacobian matrices; Partial differential equations;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.688332