Robust Economic Linear Optimal Control

Economic Linear Optimal Control (ELOC) has recently been established as a strategy to design linear feedback controllers with economic objectives (i.e., minimize operating cost). In this work, the ELOC method is extended to address processes with model uncertainty. In particular, a robust formulation of the ELOC problem will be presented. In addition to optimizing with respect economic objectives the resulting controller will be guaranteed stable for all realizations of the uncertain parameters. The Sum Of Squares (SOS) methodology in conjunction with semi-definite programming is employed to arrive at a computationally tractable (but not overly conservative) solutions to the proposed robust ELOC problem.