An optimal point-wise control method for parabolic distributed parameter systems

An optimal point-wise control method for parabolic distributed parameter systems is proposed to solve the problem of determining both the locations of point-wise controllers and the control which should be exerted on each controller. For a given number of point-wise controllers, the optimal point-wise control form is given by solving a quadratic cost control problem, and the controller locations and the control are determined by minimizing the quadratic control cost performance index. The result indicates the method proposed is effective at solving the optimal point-wise control problem for parabolic distributed parameter systems.