A Unified Framework for the H∞ Mixed-Sensitivity Design of Fixed Structure Controllers through Putinar Positivstellensatz

Autor: Valentino Razza, Abdul Salam
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Machines, Vol 9, Iss 8, p 176 (2021)
Druh dokumentu: article
ISSN: 2075-1702
DOI: 10.3390/machines9080176
Popis: In this paper, we present a novel technique to design fixed structure controllers, for both continuous-time and discrete-time systems, through an H∞ mixed sensitivity approach. We first define the feasible controller parameter set, which is the set of the controller parameters that guarantee robust stability of the closed-loop system and the achievement of the nominal performance requirements. Then, thanks to Putinar positivstellensatz, we compute a convex relaxation of the original feasible controller parameter set and we formulate the original H∞ controller design problem as the non-emptiness test of a set defined by sum-of-squares polynomials. Two numerical simulations and one experimental example show the effectiveness of the proposed approach.
Databáze: Directory of Open Access Journals