Generally, it is difficult to design a controller for bilinear systems. In this paper, we consider the nonlinear
H∞ control problem, and derive a nonlinear
H∞ state feedback controller. In order to design a nonlinear
H∞ controller, we have to solve, so called, the Hamilton Jacobi Equality or Inequality (HJE). But HJE, which is partial differential inequality (equation), is very difficult to solve. In this paper, we derive the condition to reduce the HJE to the algebraic Riccati Inequality.
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