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Finite-horizon inverse optimal control for discrete-time nonlinear systems

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Molloy, Timothy L.
Ford, Jason J.
Perez, Tristan

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In this note, we consider the problem of computing the parameters (or weights) of an optimal control objective function given optimal closed-loop state and control trajectories. We establish a method of inverse optimal control that exploits the discrete-time minimum principle. Under a testable matrix rank condition, our proposed method is guaranteed to recover the unknown objective-function parameters of finite-horizon discrete-time nonlinear optimal control problems.

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Automatica

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