This 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.

In order to identify the dominant flexible modes of a flexible structure with an input/output delay, a numerical method is proposed. The method uses a frequency domain approach (frequency response data) to estimate the resonating frequencies and damping coefficients of the flexible modes, as well as the amount of the time delay. A sequential NLLS (Non-Linear Least Squares) curve fitting procedure is adopted. It is illustrated that such a Newtonian optimization method has the capability of finding the parameters of a reduced order transfer function by minimizing a cost function involving nonlinearities such as exponential and fractional terms. © 2014 EUCA

Özetçe-Bu bildiride Covid-19 salgınının nüfusta yayılımı SEIQR matematiksel modeli ile formüle edilmiştir. Kesikli zamanlı yayılım modeli ile salgının bulaş hızı ve hasta tespit oranı kestirilmektedir. Kısıtlı optimal kontrol problemi olarak ifade edilen kestirim modeli Pontryagin minimum prensibi ile çözülmüştür. Yayılım ve kestirim modeli gerçek verilerin üzerinde test edilmiş, performans sonuçları sunulmuştur. Önerilen yöntemin başarılı bir şekilde salgın parametrelerinin kestirimini yaptığı gösterilmiştir.