Hierarchical optimal control and stability of large-scale systems

Abstract

There are three purts in this paper: (1) a state regulating problem is solved for a very-large-scale system (VLSS). The optimal-control laws are formulated with multiechelon-dynamical-hierarchical structure. A set of matrix equations which rises in formulating optimal-control laws is shown to be solvable in an alternative way; (2) the stability of such formulated multiechelon-hierarchical structure is analysed; (3) the number of levels of hierarchy needed in a multiechclon structure is calculated as also the order of dynamic-state regulator required.