The present research project encompasses Robust stability and performance analysis of power systems and it has six definite parts : - ? The unification of the structural configuration dealing with stability of the closed - loop feedback systems. ? Stability studies of capacitive loading of synchronous generator of a thermal power station. ? Regulator excitation dynamics of a synchronous generator. ? The design of stabilizers and the determination of the largest radius of the hyper-sphere in the parameter space. ? The determination of the controller stability of a close-loop system by investigating and examining encirclement of the –1+ j0 point by the locus of G (jw) C (jw). D’ partition method for stability studies with the range of K have been discussed. ? The analysis and design of a family of voltage controllers based on numerical convex optimization.