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Application of stochastic control techniques to chaotic nonlinear systems

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1 Author(s)
Fowler, T.B. ; Mitre Corp., McLean, VA, USA

A control algorithm based on stochastic control techniques is devised for chaotic nonlinear systems. The algorithm uses a state estimator based on the Kalman filter, and yields performance improvements in at least some regions of state space with respect to that obtainable by use of a controller utilizing only the conditional mean of the system state vector. The method is applied to two typical chaotic nonlinear systems (the Henon-Heiles system and the Lorenz system), and their behavior with control is explored numerically

Published in:

Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 2 )