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

Abslrmi-The paper examines the H" 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" norm of such systems. Then, for the corresponding output feedback H" control synthesis problem we obtain an explicit parametrization of the output feedback control gains that achieve the proposed H" norm hound. These results have obvious computational advantages for large scale systems where standard H" analysis and control design methods are computationally intractable. Computational examples demonstrate the advantages of the proposed results.