Optimal scheduling of detection and tracking parameters for a phased array radar

We consider the optimal scheduling of detection and tracking parameters in phased array radars to minimize the radar energy required for track maintenance in a cluttered environment. We develop a mathematical model of target detection induced by a search process in phased array radars. We use an analytic approximation of the modified Riccati equation of the PDA filter. Based on the search process and the tracking models, we formulate the optimal scheduling problem into a nonlinear optimal control problem. We solve the constrained nonlinear optimization problem to obtain a solution of the optimal control problem.