Article ID Journal Published Year Pages File Type
5003971 ISA Transactions 2016 12 Pages PDF
Abstract
In this paper, the H∞ performance and control problems for linear systems with interval state or input delays and disturbances are investigated. In order to exploit more information on the delay range, the quadruple -integral terms and quadratic forms of triple integrals are introduced into the Lyapunov-Krasovskii functional (LKF). Particularly, an improved integral inequality is developed for estimation of the cross terms in triple-integral type, which displays significant improvement over the Wirtinger inequality. As a result, a less conservative H∞ performance criterion is derived without requiring many slack variables. Based on the criterion, the H∞ controller design approaches are obtained. Besides the numerical examples, the applications to the practical systems are also provided to illustrate the effectiveness of the proposed approaches.
Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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