An LMI-based approach for semivalues constraints in coalitional feedback control

Abstract

In coalitional approaches, communication links are dynamically enabled/disabled by the control scheme to reduce the cooperation burden without compromising the system performance. This problem setup can be interpreted as a cooperative game where solution concepts provide a measure of the impact of links on system behavior. Here, we present how constraints on the set of semivalues can be introduced via linear matrix inequalities (LMIs) to impose design requirements. To this end, an LMI-based iterative method is presented. Finally, an academic example is simulated to illustrate the feasibility of the proposed approach.