H/sup /spl infin// collocated control of structural systems: an analytical bound approach

The paper examines the H/sup /spl infin// norm analysis and output feedback control synthesis problems for structural systems with collocated sensors and actuators. Using a particular solution of the bounded real lemma for an open loop collocated structural system we obtain an explicit expression to compute an upper bound on the H/sup /spl infin// norm of such systems. Then, for the corresponding output feedback H/sup /spl infin// control synthesis problem we obtain an explicit parametrization of the output feedback control gains that achieve the proposed H/sup /spl infin// norm bound. These results have obvious computational advantages for large scale systems where standard H/sup /spl infin// analysis and control design methods are computationally intractable. Computational examples demonstrate the advantages of the proposed results.