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In this paper, an approach for constructing optimal feedback laws is for regulation of a class of nonlinear system. The inverse optimal control approach was applied which circumvents the task of solving a Hamilton-Jacobi equation and results in a controller optimal with respect to a meaningful cost functional. The inverse optimality approach requires the knowledge of a control Lyapunov function and a stabilizing control law of a particular form. For the over-voltage nonlinear mathematical models appeared in power system, using the method of integrator backstepping was constructed. A characterization of nonlinear stability margins achieved with the inverse optimal control law was given in the paper.