Patient motion during treatment is one of the future challenges in the field of external beam radiotherapy. In this paper, we address this problem by considering a time–dependent Boltzmann transport model for dose calculation and by deriving closed-loop control laws for the treatment planning problem. We formulate an optimal control problem for the desired dose using boundary and distributed co...

This paper is concerned with a mean-field linear quadratic (LQ, for short) optimal control problem with deterministic coefficients. It is shown that convexity of the cost functional is necessary for the finiteness of the mean-field LQ problem, whereas uniform convexity of the cost functional is sufficient for the open-loop solvability of the problem. By considering a family of uniformly convex ...

This article addresses the problem of learning optimal control policy for a nonlinear stochastic dynamical. is subject to “curse dimensionality” associated with dynamic programming method. proposes novel decoupled data-based (D2C) algorithm that this using decoupled, “open-loop–closed-loop,” approach. First, an open-loop deterministic trajectory optimization solved black-box simulation model dy...

This paper is has addressed the Single Flexible Link Robot. The dynamical model is derived using Euler-Lagrange equation and then a proper controller is designed to suppress a  vibration based-on Input-Shaping (IS) method. But, IS control method is an open loop strategy. Due to the weakness of open loop control systems, a closed loop IS control system is proposed. The achieved closed loop c...

in this paper, distributed parameter process systems behavior is studied in frequency domain. based on the dominant gain concept that is developed for such studies, a method is presented to control distributed parameter process systems. by using dominant gain concept, the location of open loop zeros, resulted from the time delay parameter in the process model, were changed from the right half p...

Despite the recent advances in robust control theory, the robust performance problem formulated in the mixed H2/Hm framework largely remains an open problem. In this approach, one seeks a controller that minimizes the Hz norm of a closed-loop map over all admissible controllers while satisfying an H , constraint on another closed-loop map. Unlike the optimal H Z problem or the y-level sub-optim...