Robust H∞ control of Hamiltonian system with uncertainty

This paper investigates the robust H problem for a class of generalized forced Hamiltonian systems with uncertainties. The robust L
2
-gain was proved for the Hamiltonian with a sufficient condition for stable control of multimachine power systerrs expressed as a matrix algebraic inequality. A similar sufficient condition was then extended to the robust H contrd of Hamiltonian systerrs to construct the state feedback H control law. A numerical example is given to verify the val idity of the proposed control scheme, which shows the effectiveness and promising application of the method.