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 systems expressed as a matrix algebraic inequality. A similar sufficient condition was then extended to the robust H ∞ control of Hamiltonian systems to construct the state feedback H ∞ control law. A numerical example is given to verify the validity of the proposed control scheme, which shows the effectiveness and promising application of the method.