Title :
On an operator-pencil approach to distributed control of heterogeneous systems
Author :
Mishra, Anshuman ; Dullerud, Geir E.
Author_Institution :
Dept. of Mech. Sci. & Eng., Univ. of Illinois, Urbana, IL, USA
Abstract :
In this paper we consider spatially distributed heterogeneous discrete-time systems which are interconnected over an infinite lattice. An operator-pencil approach is employed to develop analysis conditions, which are less conservative than those previously available. Synthesis conditions are also obtained and are in the form of operator inequalities. In general these are infinite dimensional but in the case of eventually invariant systems these reduce to a semidefinite program.
Keywords :
control system synthesis; discrete time systems; distributed control; interconnected systems; mathematical programming; multidimensional systems; distributed control; infinite lattice interconnection; invariant system; operator inequalities; operator-pencil approach; semidefinite program; spatially distributed heterogeneous discrete-time systems; synthesis conditions; Equations; Hilbert space; Lattices; Linear matrix inequalities; Stability criteria; Symmetric matrices;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161209
