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 H 2 /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 l 1 and H ∞ constraints to improve controller performance, especially attempting to reduce peak responses, avoid saturation, and improve robustness to unmodelled dynamics. The tradeoffs between H 2 performance, output peak magnitudes, and robust stability are examined. Several optimal controllers and their performance on the benchmark are given.