Optimistic value-based optimal control problems with uncertain discrete-time noncausal systems

Xin Chen, Yifu Song, Yu Shao, Jian Wang, Liu He and Yuefen Chen

Applied Mathematics and Computation, 2024, vol. 460, issue C

Abstract: Uncertain discrete-time noncausal systems are uncertain singular systems that are supposed to be regular along. This study examines optimal control problems (OCPs) using the optimistic value criterion in the context of uncertain discrete-time noncausal systems. Recurrence equations for tackling these OCPs are provided in terms of uncertainty theory. These equations have effectively addressed OCPs involving uncertain noncausal systems with linear, quadratic, and cubic controls, resulting in analytical expressions for their optimal solutions. For illustration, an example is offered to highlight the usefulness of our results.

Keywords: Uncertainty theory; Uncertain optimal control; Optimistic value; Singular system; Recurrence equations (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:460:y:2024:i:c:s0096300323004708

DOI: 10.1016/j.amc.2023.128301

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