Interconnected systems: Continuous case

Abstract

In this Chapter, new decentralized and hierarchical control schemes for large-scale interconnected, uncertain dynamical systems have been presented. From the derived analysis and simulation results, the developed approaches have the following main features:

• (i) The control structures are very easy to compute since all calculations are realized at the subsystem level. Moreover, they can be implemented using available hardware assembly.

• (ii) The decentralized control approach, under certain hypothesis, results in a stable overall uncertain system despite the complete absence of liaison between the local control stations.

• (iii) With the hierarchical control scheme, one can guarantee the boundedness behaviour of the global system even in the presence of structural perturbations that may occur either in the interconnections between the subsystems and/or in the data transmission network between the two levels of the structure.

• (iv) The obtained results prevent or at least reduce the transfer of pertinent information between the subsystems. This is a great advantage specially for large-scale systems characterized by their geographically scattered nature, such as power systems, telephone networks, ..., etc.