Tight Bounds on Polynomials and Its Application to Dynamic Optimization Problems
成果类型：
Article
署名作者：
Vila, Eduardo M. G.; Kerrigan, Eric C.; Bruce, Paul
署名单位：
Imperial College London; Imperial College London
刊物名称：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN/ISSBN：
0018-9286
DOI：
10.1109/TAC.2026.3678437
发表日期：
2026
关键词：
摘要：
This article presents a pseudospectral method for dynamic optimization problems (DOPs) that allows for tight polynomial bounds to be achieved via flexible subintervals. The proposed method not only rigorously enforces inequality constraints, but also allows for a lower cost in comparison with nonflexible discretizations. Two examples are provided to demonstrate the feasibility of the proposed method to solve optimal control problems. Solutions to the example problems exhibited up to a tenfold reduction in relative cost.