Abstract
This paper is focused on the problem of the finite-time H ∞ inverse optimal control for affine nonlinear systems. Based on the finite-time control Lyapunov function, we derive a sufficient condition for the existence of time-invariant, continuous, finite-time stabilizing and inverse optimal state feedback control law, and propose a universal formula for constructing the finite-time H ∞ inverse optimal control law. We investigate the relationship between the finite-time stabilization and the finite-time H ∞ inverse optimal control. Finally, some examples are given to illustrate the effectiveness of the presented results.
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