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Type: Artigo de periódico
Title: LMI Relaxations for Reduced-Order Robust H-infinity Control of Continuous-Time Uncertain Linear Systems
Author: Agulhari, CM
Oliveira, RCLF
Peres, PLD
Abstract: This technical note is concerned with the problem of reduced order robust H-infinity dynamic output feedback control design for uncertain continuous-time linear systems. The uncertain time-invariant parameters belong to a polytopic domain and affect all the system matrices. The search for a reduced-order controller is converted in a problem of static output feedback control design for an augmented system. To solve the problem, a two-stage linear matrix inequality (LMI) procedure is proposed. At the first step, a stabilizing state feedback scheduled controller with polynomial or rational dependence on the parameters is determined. This parameter-dependent state feedback controller is used at the second stage, which synthesizes the robust (parameter-independent) output feedback H-infinity dynamic controller. A homogeneous polynomially parameter-dependent Lyapunov function of arbitrary degree is used to assess closed-loop stability with a prescribed H-infinity attenuation level. As illustrated by numerical examples, the proposed method provides better results than other LMI based conditions from the literature.
Subject: Continuous-time systems
dynamic output feedback
H-infinity control
linear matrix inequality (LMI) relaxations
polynomial Lyapunov functions
reduced order controllers
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Identifier DOI: 10.1109/TAC.2011.2174693
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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