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This work presents a new design method based on differentialgeometry andthe nonlinear H∞approach which has verified thatthe H∞controlforthe feedback linearization system is equivalentto a nonlinear H∞control forthe primitive nonlinear controlsystem in the sense of differential game theory.In addition,this kind of design methodis usedfornonlinearrobust optimalexcitation controlofa multi machine system .The controllerconstructed isimplemented via purely local measurement. Moreover,itisindependent ofthe parameters of power networks. Simulations are performed on a single infinite system .It has been demonstrated thatthe nonlinear H∞excitation controlleris more effective than the other nonlinear excitation controllerin dynamic performance improvementfor variation of operationalstates and parametersin powersystems.
This work presents a new design method based on differential geometry and the nonlinear H∞approach which has verified that the H∞controlforthe feedback linearization system is equivalent to a nonlinear H∞control forthe primitive nonlinear controlsystem in the sense of differential game theory. design method used for purely local measurement. Moreover, it is independent of the parameters of power networks. Simulations are performed on a single infinite system. It has been been demonstrated that the nonlinear H∞excitation controlleris more effective than the other nonlinear excitation controllerin dynamic performance improvement for variation of operationalstates and parameters in powersystems.