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A coupled robust control/optimization approach for active-passive hybrid piezoelectric networks

Active-passive hybrid piezoelectric networks (APPN) have been shown to be very effective in structural control. However, the issue of system robustness of such configurations has yet to be investigated. To ensure that the APPN concept still performs well under uncertainties, a coupled robust control (µ synthesis)/optimization approach is proposed to determine the active and passive parameters simultaneously with the consideration of system uncertainties. An analysis is performed to gain insight into both passive and active-passive hybrid systems. Through µ synthesis, it is also illustrated that the APPN approach can tolerate a much higher level of uncertainty than a purely active system.