Numerical Solution of a Class of Nonlinear Optimal Control Problems Using Linearization and Discretization

• 作者: Emran Tohidi Mohammad Hadi Noori Skandari
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: LINEAR and NONLINEAR Optimal CONTROL LINEAR Combination Property of INTERVALS LINEAR Programming DISCRETIZATION Dynamical CONTROL Systems
• 年，卷（期）: 2011,（5）
• 页码范围: 646-652
• 页数: 7页
• 分类号: O1

摘要

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 linear functional, in three phases. In the first phase, using linear combination property of intervals, changes nonlinear system to an equivalent linear system, in the second phase, using discretization method, the attained problem is converted to a linear programming problem, and in the third phase, the latter problem will be solved by linear programming methods. In addition, efficiency of our approach is confirmed by some numerical examples.