Abstract
It is well known that nonlinear H∞ control problem is solvable if there exists a positive definite function which satisfies a certain Hamilton-Jacobi inequality. However, the routine method to obtain an analytic solution of Hamilton-Jacobi inequality is still unestablished. In this paper, we propose a method to obtain a solution of the Hamilton-Jacobi inequality by applying 'Exact Linearization via Feedback' for a nonlinear system. Then the solution of the Hamilton-Jacobi inequality is obtained as a quadratic form of a coordinate transformation with positive definite solution of a certain Riccati inequality.
