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

The paper examines the H-infinity 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-infinity norm of such systems. Then, for the corresponding output feedback H-infinity control synthesis problem we obtain an explicit parametrization of the output feedback control gains that achieve the proposed 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 the proposed results.