Abstract
Chaos control with an additive, inequality constrained, and scalar control input is investigated. The control purpose is to stabilize the unstable system equilibrium or equilibria. The control problem is formulated as an optimal control and is solved with the minimum principle. The resulting control law is a bang-bang control, which switches once or more times from one of its extreme values to another. This switching control is shown to be effective for chaos control, even if a small control input is applied. The proposed control strategy is illustrated with the Lorenz system.
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