Lifting techniques for sampled-data controller reductions for closed-loop transfer function consideration

Abstract

The problem of controller order reduction aimed at preserving the closed-loop performance of a sampled-dataclosed-loopsystems investigated. Fast sampling of the system at a multiple of the sampling frequency followed by lifting allows capturing of the system's inter-sample behavior (albeit with small error) and yields a time-invariant single-rates system; this then permits standards order reduction ideas to be applied. Special weighting functions aimed at preserving the closed-loop transfer function are obtained and weighted balanced truncation is used to reduce the controller. Show more