Title :
Nonlinear systems control using equilibrium paths
Author_Institution :
Virginia Polytech. Inst. & State Univ., Blacksburg
Abstract :
A method for the control of a system of nonlinear ordinary differential equations (ODEs) between equilibrium states is introduced. The idea is to control the system such that, during its transition from the initial to the final equilibrium, its state space trajectory is close to an equilibrium path to which the two states belong. The transition can be conducted in a quasi-stationary manner, which has many practical advantages.
Keywords :
differential equations; nonlinear control systems; state-space methods; equilibrium path; nonlinear ordinary differential equations equilibrium state; nonlinear systems control; state space trajectory; Control systems; Differential equations; Jacobian matrices; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Performance analysis; Potential well; State-space methods; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434081
