[PDF] Top 20 A numerical scheme for constrained optimal control problems

... MSc and Ph.D. from the Universityof Babolsar, all in . She is currently an Assistant Professor with University of Sistan and Baluchestan, Zahedan, Iran. Her researchinterests include fractional calculus, , ... See full document

... In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and ... See full document

... a numerical scheme based on the adjustment of hat basis functions to solve the optimal control problem of the linear differential systems with inequality ...such problems to those that ... See full document

... difference scheme for a given ...many problems where complex features of the dynamics make the PDE theory for the associated HJB equation hard to tackle, as is true for problems in the current ... See full document

... for numerical solution of optimal control problems is ...A numerical example is used to check the accuracy of the method and to compare parallel performance of these two ... See full document

... [26] M. C. Zhao, H. B. Guan and P. Y. Yin,“A stable mixed finite element scheme for the second order elliptic problems,” IAENG International Journal of Applied Mathematics, vol. 46, no. 4, pp. 545-549, ... See full document

... these problems the minima, if they exist are stationary points (points where gradient vector of the objective function ...for constrained optimization problems, but they are not easily accessible due ... See full document

... important optimal control problems is how to drive the corresponding trajectory of the equation from an initial state to a given target set in the shortest time, through applying constrained ... See full document

... distributed control and observation, and to use finite difference schemes to approximate the state equation, while the most of the results can be extended for the case of lowest order finite element method, for a ... See full document

... the optimal control policy u(t) in the time interval [ t , t ] 0 f such that performance index is minimized or maximized ...of problems numerically ...the optimal control problem is ... See full document

... In phase 1, one artificial variable is added for each ≥ and = constraints. The original problem is then replaced with the sum of these artificial variables. Since artificial variables should not become part of an ... See full document

... bang-bang optimal control ...the optimal control problems, and in Section 5 we report our numerical result along with showing the accuracy of the proposed ... See full document

... In most research, the disturbance change referred to as the regulator problem has been studied [4], [5]. However, in some cases such as the reactor liquid level in chemical process [6], the Hubble telescope pointing ... See full document

... the optimal control problem solution. Control and state variables can be also eval- uated from a ∗ approximately. By considering the recurrence characteristics of the orthogonal functions, the more ... See full document

... But, if my own experience is any guide, the sacrifice is really not great because if the peculiar viewpoint taken is truly experimentally equivalent to the usual in the realm of the known there is always a range of ... See full document

... □ Notice that L : = L J ( ) ˆ 2 represents the smallest value of L such that (4.5) is satisfied. We remark that the discussion that follows is valid for L ≥ L J ( ) ˆ 2 as in Lemma 4.5. However, as we discuss below, the ... See full document

... several numerical methods to approximate the solutions of such problems since most fractional and functional differential equations have no exact solu- tions, see ... See full document

... the optimal control ...the optimal control problems, a closed form analytical solution is seldom obtained, but the indirect methods can produce ...the control, this leads to ... See full document

... [r] ... See full document

... Affine control systems defined on finite-dimensional Lie groups form an important class of nonholonomic system and provide a mathematically rich setting for studying kinematic control systems [1], [2], [3], ... See full document