A convex set of robust D—stabilizing controllers using Cauchy's argument principle. Issue 25 (2022)

• Record Type: Journal Article
• Authors: Schuchert, Philippe; Karimi, Alireza
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 25(2022)
• Page Start: 49
• Page End: 54
• Publication Date: 2022
• Subjects: Controller constraints and structure -- Convex optimization -- Robust controller synthesis -- Data-based control; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.09.322
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: A new approach is presented to obtain a convex set of robust D — stabilizing fixed structure controllers, relying on Cauchy's argument principle. A convex set of D — stabilizing controllers around an initial D — stabilizing controller for a multi-model set is represented by an infinite set of Linear Matrix Inequalities (LMIs). By appropriate sampling of the D — stability boundary, a Semi-Definite Programming (SDP) is proposed that can be integrated in other synthesis approaches to ensure D — stability along other design specifications. To showcase utility of the proposed approach, two different examples are given: a boost converter with multi-model uncertainty and a laser-beam system modeled by an identified finite impulse response.