题 目：Optimal state-delay control in nonlinear dynamic systems
报 告 人：刘重阳 教授
报告时间：2022年11月18日 10：00-11：30
报告地点：线上腾讯会议212 283 821
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，马来西亚Sunway University兼职教授、博士生导师。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70余篇，其中SCI检索60余篇，ESI高被引论文2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4项，其中面上项目2项，青年项目、天元项目各1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。目前担任国际SCI杂志《Complexity》和《Numerical Algebra, Control and Optimization》的学术编辑。
报告内容：
In this talk, we consider a class of nonlinear systems in which the control function is a time-varying state-delay. The optimal control problem is to optimize the time-varying delay and a set of time-invariant system parameters subject to lower and upper bounds. To solve this problem, we first parameterize the delay in terms of piecewise-quadratic basis functions, thus yielding a finite-dimensional approximate problem with continuous-time inequality constraints induced by the delay bounds. We then exploit the quadratic structure of the delay to convert these continuous-time constraints into a finite set of canonical point constraints. We also develop an efficient numerical method for computing the gradients of the system cost function. This method, which involves integrating an auxiliary impulsive system with time-varying advance backwards in time, can be combined with any existing gradient-based optimization algorithm to generate approximate solutions for the optimal control problem.
