Regulation of Stochastic Systems with Wide-Band Transfer Functions

The design of a regulator for a system with random discontinuities in its linear perturbation model is considered. The perturbation model is assumed to have a wide-band transfer function, rather than a more conventional low-pass transfer function. The resulting design equations are more complicated than are their counterparts derived under the low-pass hypothesis. Approximations are discussed which can be used to reduce the computational burden in some cases. The analytical procedures are illustrated in an example which considers the synthesis of a steam temperature regulator for a solar-powered central receiver.