Demir, OkanÖzbay, Hitay2021-03-042021-03-0420200142-3312http://hdl.handle.net/11693/75738This study proposes a method for the static output feedback (SOF) stabilization of discrete time linear time invariant (LTI) systems by using a low number of sensors. The problem is investigated in two parts. First, the optimal sensor placement is formulated as a quadratic mixed integer problem that minimizes the required input energy to steer the output to a desired value. Then, the SOF stabilization, which is one of the most fundamental problems in the control research, is investigated. The SOF gain is calculated as a projected solution of the Hamilton-Jacobi-Bellman (HJB) equation for discrete time LTI system. The proposed method is compared with several examples from the literature.EnglishStatic output feedbackOptimal sensor placementApproximate dynamic programmingcArticle10.1177/0142331220943071