Multiobjective optimal structural control of the Notre Dame building model benchmark

Reduced-order, multiobjective optimal controllers are developed for the Notre Dame structural control building model benchmark. Standard H2/LQG optimal control excels at noise and disturbance rejection, but may have difficulty with actuator saturation and plant uncertainty. The benchmark problem is adapted to a multiobjective optimal control framework, using l1 and H∞ constraints to improve controller performance, especially attempting to reduce peak responses, avoid saturation, and improve robustness to unmodelled dynamics. The tradeoffs between H2 performance, output peak magnitudes, and robust stability are examined. Several optimal controllers and their performance on the benchmark are given.