学术报告
报告题目: A Hybrid Time-Scaling Transformation for Time-Delay Optimal Control Problems
报告时间：2015年11月17日（周二）上午10:30—11:30
报告地点：创新园大厦 A1101
报告人：余长君 （Curtin University 博士）
报告校内联系人：王磊 联系电话：18698622859
报告摘要: We consider a class of nonlinear time-delay optimal control problems with canonical equality and inequality constraints. We propose a new computational approach, which combines the control parameterization technique with a hybrid time-scaling strategy, for solving this class of optimal control problems. The proposed approach involves approximating the control variables by piecewise constant functions, whose heights and switching times are decision variables to be optimized. Then, the resulting problem with varying switching times is transformed, via a new hybrid time-scaling strategy, into an equivalent problem with fixed switching times, which is much preferred for numerical computation. Our new time-scaling strategy is hybrid in the sense that it is related to two coupled time-delay systems—one defined on the original time scale, in which the switching times are variable, the other defined on the new time scale, in which the switching times are fixed. This is different from the conventional time-scaling transformation widely used in the literature, which is not applicable to systems with time-delays. To demonstrate the effectiveness of the proposed approach, we solve four numerical examples. The results show that the costs obtained by our new approach are lower, when compared with those obtained by existing optimal control methods.
余长君博士简介：近年来主要从事非线性最优化与最优控制理论、算法及其在信息和工程中的应用的研究. 自 2010 年至今, 在 Signal Processing, Journal of Global Optimization, Journal of Optimization Theory and Application, Optimization Letters 等国际权威/重要期刊发表论文十余篇, 其中被 SCI 检索 21 篇, EI 检索 1 篇, 参编英文著作章节 1 部. 担任 Automatica 等顶级期刊的审稿人. 此外, 本人的研究工作还得到了同行的广泛关注. 根据最新的 Scholar Google论文引用数据, 本人所发表论文单篇最高引用次数为 37 次, 最高 5 篇平均引用次数为 22 次, h-index 为 7, i10-index 为 7. 在2013 年发表于 Optimization Letters 的论文: An exact penalty function method for nonlinear mixed discrete programming problems. 入选 2014 年 ESI 高被引论文. 2015 年入选上海市青年东方学者计划.
大连理工大学数学科学学院
2015年11月16日
