Enlarging region of attraction in input-output linearization method

This paper proposes a new approach to enlarge region of attraction (RA) of polynomial nonlinear systems using an optimization strategy. In this method, an input-output linearization approach is applied to the system. Then a generalized eigenvalue problem (GEVP) is formulated based on system constraints and the desired output performance. The solution to this GEVP leads to a controller which makes the output performance desirable and at the same time the estimated region of attraction is maximized. Some illustrative examples and simulations are presented to verify the proposed strategy.