Feedback Control of Analytic Nonlinear Systems by Extended Linearization

For mufti-input, mufti-output, analytic, nonlinear systems, a design method based on the family of linearizations of the system, parameterized by the family of constant operating points, is considered. Using the Cauchy–Kowalewski Theorem it is shown that nonlinear state feedback control laws and output/observer feedback control laws exist such that the eigenvalues of the family of closed-loop linearizations have specified, analytically-scheduled values with respect to the family of closed-loop operating points.