On stabilization of large-scale control systems using variable structure systems theory

A new approach to control design for large-scale systems using variable structure systems (VSS) theory is presented. Multilevel control concepts arc used to decompose a large control problem into a two-level algorithm such that each subsystem is stabilized with local discontinuous controllers and higher level corrective control is designed to take into account the effect of interactions among the subsystems. Two numerical examples are discussed as illustrations.