Nonlinear Static Output Feedback Design for Polynomial Systems With Non-Symmetric Input Saturation Bounds

We apply dissipativity theory to the design of nonlinear static output feedback controllers for polynomial systems whose input signals are subject to possibly non-symmetric saturation bounds. In a new approach that extends recent results in literature, a two-step procedure based on sum-of-squares programming is employed for solving this problem, which had not been addressed thus far in literature. A numerical example demonstrates the applicability of the strategy.