Infinite horizon quadratic sparsity-promoting optimal control for distributed systems

This paper considers sparse feedback gains design of distributed systems. We design the sparse pattern of feedback gains by incorporating sparsity-promoting penalty functions into the infinite horizon quadratic optimal control problem. The added penalty functions approximates the counting of the communicating links. We reformulate this combination optimization problem as a sequence of weighted l
2
problems, then formulate semidefinite programme and therefore its solution can be computed efficiently.