Feedback linearization H∞ control and its application to excitation systems

This work presents a new design method based on differential geometry and the nonlinear H
∞
approach which has verified that the H
∞
control for the feedback linearization system is equivalent to a nonlinear H
∞
control for the primitive nonlinear control system in the sense of differential game theory. In addition, this kind of design method is used for nonlinear robust optimal excitation control of a mult-machine system The controller constructed is implemented via purely local measurement. Moreover, it is independent of the parameters of power networks. Simulations are performed on a single infinite system, It has been demonstrated that the nonlinear H
∞
excitation controller is more effective than the other nonlinear excitation controller in dyrarnc performance improvement for variation of operational states and parameters in power systems