Abstract

We consider the control system ẋ = Ax + Bu with stochastic mean zero high gain feedback control u. The classes of stochastic processes which can stabilize the trivial solution x = 0 depend on the rank of B. For rank B = 1 we characterize, in particular, the class of noise which stabilizes the originally unstable equilibrium of the linearized inverted pendulum.

Volume Subject Area:
Vibration and Control of Stochastic Dynamical Systems
Topics:
Control systems, Equilibrium (Physics), Feedback, Noise (Sound), Pendulums, Random vibration, Stochastic processes
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Copyright © 1995 by The American Society of Mechanical Engineers
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