Abstract
The Lorenz equations are well known for their ability to produce chaotic motion. We investigate here the Lorenz system subject to a control input. Two different controllers are designed for this system, one based on linear methods and one based on a nonlinear analysis. The objective of the controller is to drive the system to one of the unstable equilibrium points associated with uncontrolled chaotic motion. Each controller is able to produce stable motion. However, the character of this motion may differ considerably, depending on adjustment of “Gains” used in the controller. In particular, the motion may contain chaotic transients. It is possible to create a system with intermediate-term-sensitive dependence on initial conditions, but with no such long-term dependence.
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© 1991 Springer-Verlag
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Vincent, T.L., Yu, J. (1991). Control of a chaotic system. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006739
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DOI: https://doi.org/10.1007/BFb0006739
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