Optimal absolute stabilization of unknown Lurie systems based on experimental data and a priori information

In the paper, synthesis of optimal absolute stabilizing control for unknown Lurie systems is developed, by using experimental and prior data. The technique roots a minimax approach with maximization of integral performance index over an intersection of two matrix ellipsoids determining by experimental and prior data. Mathematical simulations of nonlinear oscillator illustrate advantages the obtained control law over the robust control based on prior data.