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The robust H∞ problem for a class of generalised forced Hamiltonian systems with uncertainty is investigated. A design approach for the robust H∞ controller is presented and the L2-gain from the disturbance input to the regulation output signal is shown to be able to be reduced to any given level provided that a derived algebraic inequality has a solution. The proposed method is used to create a Hamiltonian-like model with uncertainty which is able to describe power system dynamics on a full scale. Consequently a decentralised nonlinear robust H∞ control law can be produced for a multi-machine power system using the Hamiltonian function. Simulations performed on a six-machine system verify that the proposed excitation control can cope with large disturbances and can enhance the transient stability of the power system more effectively than other types of controllers.
Control Theory and Applications, IEE Proceedings - (Volume:152 , Issue: 2 )
Date of Publication: 4 March 2005