- Author
-
Frey, M. R. R.
|
Simiu, E.
- Title
- Phase Space Transport and Control of Escape From a Potential Well.
- Coporate
- Bucknell Univ., Lewisburg, PA
National Institute of Standards and Technology, Gaithersburg, MD
- Journal
-
Physica D,
Vol. 95,
128-143,
1996
- Keywords
-
building technology
|
escape
|
control systems
|
dynamical systems
|
Melnikov function
|
stochastic differential equations
|
stability
|
chaos
- Abstract
- A framework for controlling a nonlinear dynamical system against escape from a potential well is presented based on reducing the phase space transport across the separatrix associated with the potential well. A bandlimited open-loop control with finite lag is considered for systems with weak additive stationary forcing including, specifically, the colored Gaussian case. The related multiplicative, closed-loop control problem is shown to reduce to an open-loop problem. A numerical example based on the Duffing oscillator is presented to illustrate the theory.