H∞ collocated control of structural systems:: An analytical bound approach

The H-infinity norm analysis and output feedback control synthesis problems for structural systems with collocated sensors and actuators are examined. By 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-infinity norm of such systems. Then, for the corresponding output feedback H-infinity control synthesis problem we obtain an explicit parameterization of the output feedback control gains that achieve a desired H-infinity norm bound. These results have obvious computational advantages for large-scale systems where standard H-infinity analysis and control design methods are computationally intractable. Computational examples demonstrate the advantages of them proposed results.