Design of a nonlinear H∞ state feedback controller for bilinear systems with nonlinear weight

This paper gives the design method of a nonlinear H_∞ state feedback controller for bilinear systems with nonlinear weights. Generally, in order to derive a nonlinear H_∞ controller, we have to solve the Hamilton Jacobi inequality, but it is very difficult to solve. In this paper, it is shown that the Hamilton Jacobi inequality is reduced to the algebraic Riccati inequality, under some constraints on nonlinear weights. Finally, one of the admissible nonlinear weights are derived