Dynamic multilevel optimization for a class of non-linear systems
Magdi S. Mahmoud · International Journal of Control · 1979
A three-level hierarchical computation structure is potentially developed to optimize the quadratic performance of a class of non-linear dynamic systems. This class includes interesting problems encountered in power systems operation. The powerful attribute of the technique developed lios in the efficient incorporation of the co-state coordination methodology and a suitable decomposition scheme. It also affords for both the simplification of the lower level computational task and the manipulation of the system's non-linearities. A systematic convergence proof is given in order to substantiate the asymptotic behaviour of the optimisation procedure. As a part of the work, quantitative comparisons of the computational properties and the ensuing results of the simulation studies of the developed technique with other hierarchical methods greatly enhance its relative superiority.