Distributed control design for spatially interconnected systems

From HotDec

Distributed control design for spatially interconnected systems

D'Andrea, R.; Dullerud, G.E.

IEEE Transactions on Automatic Control, Volume: 48 , Issue: 9 , Sept. 2003
Pages:1478 - 1495 Download (full-text)

Abstract

This paper deals with analysis, synthesis, and implementation of distributed controllers, designed for spatially interconnected systems. We develop a state space framework for posing problems of this type, and focus on systems whose model is spatially discrete. In this paper, analysis and synthesis results are developed for this class of systems using the l/sub 2/-induced norm as the performance criterion. The results are stated in terms of linear matrix inequalities and are thus readily amenable to computation. A special implementation of the resulting controllers is presented, which is particularly attractive for distributed operation of the controller. Several examples are provided to further illustrate the application of the results.

Index Terms: distributed control interconnected systems linear matrix inequalities state-space methods H/sub /spl infin// distributed controllers interconnected systems linear matrix inequalities spatially interconnected systems state space framework