Central suboptimal H∞ control design for nonlinear polynomial systems

This paper presents the central finite-dimensional H_infin regulator for nonlinear polynomial systems, that is suboptimal for a given threshold gamma with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the paper reduces the original H_infin control problem to the corresponding optimal H₂ control problem, using the technique proposed in. The paper yields the central suboptimal H_infin regulator for nonlinear polynomial systems in a closed finite-dimensional form, based on the optimal H₂ regulator obtained in. Numerical simulations are conducted to verify performance of the designed central suboptimal regulator for nonlinear polynomial systems against the central suboptimal H_infin regulator available for the corresponding linearized system.