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Tight Bounds on Polynomials and Its Application to Dynamic Optimization Problems
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DOI：10.1109/tac.2026.3678437.png)
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Abstract
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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.
Keywords:
Constrained control
optimal control
optimal estimation
predictive control
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7
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1.3W
Citations:
6.7W
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