Decentralized stabilization using descriptor systems

A novel method for decentralized stabilization of a large-scale system in general form is presented. An appropriate descriptor system is defined for a large-scale system, such that the new system is in input decentralized form. Sufficient conditions for stability of the closed-loop system are introduced. By appropriately assigning the eigenstructure of each isolated subsystem, these conditions are satisfied. This is accomplished by using the method suggested by R.J. Patton and G.P. Liu (1994), such that the effects of the interconnections between the subsystems are minimized via the combination of genetic algorithms and gradient based optimization.