CONTROLLING UNSTABLE STEADY-STATES USING SYSTEM PARAMETER VARIATION AND CONTROL DURATION

We describe a method to control unstable steady states in high-dimensional flows that have become unstable due to a Hopf bifurcation. The control method is model independent and is accomplished by perturbing an available system parameter. Unlike methods designed for low-dimensional systems, successful control of high-dimensional systems requires the use of the control duration as an additional parameter. This is due to control activated transients that force the system off a low-dimensional attractor. We demonstrate our method using numerical simulation and compare it with the application of pure discrete control. © 1994 The American Physical Society.