Design of gain scheduling control system with required tolerance.

Abstract

Gain scheduling is comparable to feedforward compensation and is highly sensitive to modeling errors. In this paper, the errors are represented by variations in the uncertain physical parameter θ under changes in process dynamics. For a state of the process specified by the auxiliary variable α, the variational region in the θ-space can be mapped into the space of transfer function parameter p. An orthotope Rp is defined in the p-space as the region of required tolerance through such mapping. On the other hand, the inherent region of system tolerance Sp is the set of p at which the proposed schedule rule can satisfy the admissible system performance. An iterative design algorithm was developed to find a schedule rule so that Sp includes Rp for a selected set of α. Application of robust gain scheduling to a reactor system with catalyst decay was studied to illustrate the effectiveness of the proposed design method.