Optimal Disturbance Accommodation with Limited Model Information
For control systems with limited model information, this work provides a theoretical performance guarantee via the competitive ratio, though it is incremental as it extends prior work to dynamic controllers.
The paper adapts limited model information control strategies to design optimal dynamic disturbance accommodation controllers, achieving a competitive ratio that quantifies performance relative to full-information optimal control.
The design of optimal dynamic disturbance accommodation controller with limited model information is considered. We adapt the family of limited model information control design strategies, defined earlier by the authors, to handle dynamic controllers. This family of limited model information design strategies construct subcontrollers distributively by accessing only local plant model information. The closed-loop performance of the dynamic controllers that they can produce are studied using a performance metric called the competitive ratio which is the worst case ratio of the cost a control design strategy to the cost of the optimal control design with full model information.