Optimistic value-based optimal control problems with uncertain discrete-time noncausal systems. (English) Zbl 07748310
Summary: 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.
MSC:
| 93E20 | Optimal stochastic control |
| 93C55 | Discrete-time control/observation systems |
| 49L20 | Dynamic programming in optimal control and differential games |
| 49N05 | Linear optimal control problems |
| 93C05 | Linear systems in control theory |
Keywords:
uncertainty theory; uncertain optimal control; optimistic value; singular system; recurrence equationsReferences:
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