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Discrete-Time Static H-infinity Loop Shaping Control for LPV Systems

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Author(s):
Pereira, Renan L. ; Kienitz, Karl H. ; Guaracy, Fernando H. D. ; IEEE
Total Authors: 4
Document type: Journal article
Source: 2017 25TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED); v. N/A, p. 6-pg., 2017-01-01.
Abstract

In this paper a discrete-time static H-infinity loop shaping control method for linear parameter-varying (LPV) systems is presented. The formulation aims to find a static parameter dependent stabilizing controller which yields guaranteed performance. Using quadratic H-infinity performance, a set of sufficient conditions is provided in a two-step LMI (Linear Matrix Inequality) approach. The first step consists in an extension of the left coprime factorization for discrete-time LPV systems, in which a particular H-2 filtering problem is solved. In the second step, sufficient conditions for the solution of the static H-infinity loop shaping control problem are provided. Besides considering parameter dependency, these conditions also include nonparametric uncertainties, resulting in more robust closed-loop systems. The effectiveness of the method is illustrated with a numerical example. (AU)

FAPESP's process: 11/17610-0 - Monitoring and control of dynamic systems subject to faults
Grantee:Roberto Kawakami Harrop Galvão
Support Opportunities: Research Projects - Thematic Grants