Minimum H∞ norm estimation of interval systems by an eigenvalue perturbation method

The norm represents the disturbance attenuation performance of a control system. An eigenvalue perturbation method of differential equations is proposed to calculate the minimum norm of the control system with structured uncertainty, here interval matrices are used to represent the uncertainty in the plant matrix of the system. The method is based on the correspondence between the minimum induced norm and the first order eigenvalue of the associated Hamiltonian two-point boundary value problem.