For Special Issue on Benchmark Structural Control Comparison of the Journal of Earthquake Engineering and Structural Dynamics PROBABILISTIC CONTROL FOR THE ACTIVE MASS DRIVER BENCHMARK STRUCTURAL MODEL

A probability-based robust control design methodology is presented that is applied to the \benchmark system," which is a highdelity model of an active-mass-driver laboratory structure. For the controller design, the objective is to maximize the probability that the uncertain structure/controller system achieves satisfactory performance when subject to uncertain excitation. The controller's robust performance is computed for a set of possible models by weighting the conditional performance probability for a particular model with the probability of that model, then integrating over the set of possible models. This is accomplished in an e cient manner using an asymptotic approximation. The probable performance is then maximized over the class of constant-gain acceleration-feedback controllers to nd the optimal controller. This control design method is applied to a reduced-order model of the benchmark system to obtain four controllers, two that are designed on