报告题目：Optimal control computation for nonlinear fractional time-delay systems with state inequality constraints
时 间：2021年12月4日（星期六）下午3：00
地 点：腾讯会议，会议ID：854 394 853
主 办：数学与统计学院、福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）、 福建师范大学数学研究中心
参加对象：感兴趣的老师和学生
报告摘要：In this talk, we develop a numerical method for solving a class of delay fractional optimal control problems involving nonlinear time-delay systems and subject to state inequality constraints. The fractional derivatives in this class of problems are described in the sense of Caputo, and they can be of different orders. First, we propose a numerical integration scheme for the fractional time-delay system and prove that the convergence rate of the numerical solution to the exact one is of 2nd-order based on Taylor expansion and linear interpolation. This gives rise to a discrete-time optimal control problem. Then, we derive the gradient formulas of the cost and constraint functions with respect to the decision variables and present a gradient computation procedure. On this basis, a gradient-based optimization algorithm is developed to solve the resulting discrete-time optimal control problem. Finally, several example problems are solved to demonstrate the effectiveness of the developed solution approach.
报告人简介：刘重阳 山东工商学院数学与信息科学学院教授、硕士生导师。2010年07月毕业于大连理工大学，获理学博士学位。曾经多次学术访问澳大利亚Curtin University、香港理工大学等。近年来，一直从事最优控制、非线性优化和工程优化与控制等方面的研究。在《Automatica》、《SIAM Journal on Control and Optimization》、《Journal of Optimization Theory and Applications》、《Systems & Control Letters》等学术期刊上发表学术论文60余篇，其中SCI检索50余篇。在国际著名出版社Springer出版英文专著1部。主持国家自然科学基金项目3项，山东省自然科学基金项目2 项。研究成果获山东省高校优秀研究成果奖一等奖、三等奖各1 项、烟台市自然科学二等奖1项。