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

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.