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In this work, a contribution to the contractibility of decentralized control laws, in the context
of the Inclusion Principle, is offered. By means of this principle, an overlapping system can be expanded
to another bigger one where the subsystems are considered as disjoint. Under a control criterion, local
controllers are designed for each subsystem. After this expansion-design process, the decentralized
control laws need to be contracted and implemented in the original system. However, the contractibility
conditions are not satisfied by arbitrary local gain matrices. In this paper, an explicit structure for the local
gain matrices ensuring contractibility is presented; moreover, the possibility of using different control
criteria in accordance with these structures is discussed.
CitationRossell, Josep M.; Palacios-Quiñonero, F.; Luo, N. A contribution to the contractibility problem for overlapping controllers. A: IFAC Symposium on Large Scale Systems Theory and Applications. "12th Symposium on Large Scale Systems Theory and Applications". 2010, p. 1365-1371.
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