Abstract
This article presents the designs of output-based adaptive and numerical-substructure-based controllers for the testing of a base-isolated substructured system. The linear numerical-substructure-based controllers, which are developed using state-space and transfer-function methods and a higher-order actuator model, are introduced in order to address new substructured eigenvalue techniques in relation to testing stability and accuracy. An output-based framework for the synthesis of new adaptive substructuring controllers and for the associated stability proof is discussed, based upon an ad hoc reference model concept. Implementation studies favourably verify the proposed control and analysis strategies, showing that the adaptive controller effectively compensates for time-varying and unwanted parameters within the actuator systems, and using the substructured eigenvalue can explicitly predict the testing performance in advance. In addition, the results also indicate that a feedforward controller incorporating closed-loop control schemes could be disadvantageous if the numerical substructure contains the dynamic parameters, which possibly may yield slow substructured eigenvalues.
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