Optimal Periodic Control Processes

最佳周期控制过程

• 批准号: 8413475
• 负责人: Jason Speyer
• 金额: $ 12.6万
• 依托单位: University of Texas at Austin
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-01-15 至 1988-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8413475&HistoricalAwards=false
• 关键词: Optimal; Periodic; Control; Processes

The goal of this research is to generlize and clarify a number of recent results on periodic optimal control theory. In particular, a number of theoretical and computational issues will be investigated: to show that the sufficiency condition, if weakened in a minimal way, is also necessary; to show how a neighboring optimum periodic regulator can be constructed and, for a special class of systems, generalized to obtain global stability to a limit cycle; to study the relationship of this periodic regulator with that of the linear-quadratic regulator and its associated symmetric algebraic Riccati equation; to indicate how the periodic constraints, bounded state and/or control constraints, can be included in the periodic optimal control formulation; to determine the effects on robustness of uncertain dynamical systems by using periodic feedback gains; and to extend the necessary and sufficient conditions to quasi-periodic optimal control problems with slowly varying parameters. It is expected that these results could have significant impact on such diverse areas as chemical process control and flight mechanics.

本研究的目的是概括和澄清一些 周期最优控制理论的最新研究成果 特别是 将研究一些理论和计算问题： 证明充分条件，如果以最小的方式削弱， 也是必要的，以显示如何相邻的最佳周期调节器 可以被构造，并且对于一类特殊的系统，可以被推广到 得到了极限环的全局稳定性;研究了 该周期调节器与线性二次型调节器的周期调节器， 其相关的对称代数Riccati方程;指出如何 周期性约束、有界状态和/或控制约束可以 包括在周期性最优控制公式中;确定 不确定动态系统鲁棒性的影响 定期反馈增益;并扩展必要和充分的 慢变时滞拟周期最优控制问题的条件 改变参数。 预计这些结果可能会 对化学过程控制等不同领域产生重大影响 飞行力学