LoboVault Home
 

H∞ Gain Scheduling for Discrete-Time Systems with Control Delays and Time-Varying Parameters: a BMI Approach

LoboVault

Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20200

H∞ Gain Scheduling for Discrete-Time Systems with Control Delays and Time-Varying Parameters: a BMI Approach

Show full item record

Title: H∞ Gain Scheduling for Discrete-Time Systems with Control Delays and Time-Varying Parameters: a BMI Approach
Author: Abdallah, Chaouki T.; Borges, Renato A.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.
Subject(s): Lyapunov matrix equations
discrete time systems
time-varying systems
Abstract: In this paper, the problem of gain scheduling for time-varying systems with time delays is investigated. By using a memory at the feedback loop, a discrete gain scheduled controller which minimizes an upper bound to the ,Hscrinfin performance of the closed loop system is determined. The design conditions, expressed in terms of bilinear matrix inequalities, are obtained from the Finsler's Lemma combined with the Lyapunov theory. The extra variables introduced by the Finsler's Lemma represent an alternative way in the search of better system behavior. The time-varying uncertainties are modeled using polytopic domains. The controller is obtained by the solution of an optimization problem formulated only in terms of the vertices of the polytope. No grids in the parametric space are used. Numerical examples illustrate the efficiency of the proposed approach.
Date: 2008-06-11
Publisher: IEEE
Citation: 2008 American Control Conference, 3088-3093
Description: Digital Object Identifier: 10.1109/ACC.2008.4586967
URI: http://hdl.handle.net/1928/20200
ISBN: 978-1-4244-2078-0

Files in this item

Files Size Format View
Abdallah et al ... meters- a BMI Approach.pdf 161.0Kb PDF View/Open

This item appears in the following Collection(s)

Show full item record

UNM Libraries

Search LoboVault


Advanced Search

Browse

My Account