Robust finite-time energy-to-peak control for systems with discrete and distributed delays

被引：0

作者：

Zheng L.-W. ^{[1
]}

机构：

[1] School of Sciences, Northeastern University, Shenyang

来源：

Dongbei Daxue Xuebao/Journal of Northeastern University | 2016年 / 37卷 / 11期

关键词：

Cone complementarity linearization algorithm; Distributed delay; Energy-to-peak performance; Finite-time boundedness; Linear matrix inequalities;

D O I：

10.3969/j.issn.1005-3026.2016.11.004

中图分类号：

学科分类号：

摘要：

The robust finite-time control problem under the constraint of energy-to-peak performance index was investigated for linear systems with delays. Norm-bounded uncertainties was included in the coefficient matrices of systems and discrete and distributed delays were included in the states. A Lyapunov functional involving a parameter was introduced. Its exponential growth was checked for bounding the states and outputs. Then, sufficient conditions were derived guaranteeing that the closed-loop systems are finite-time bounded and satisfy prescribed energy-to-peak performance index for all admissible uncertainties. What's more, the control law was obtained simultaneously. These conditions were formulated in terms of linear matrix inequalities with an eigenvalue constraint. Through transforming the constraint to nonlinear matrix inequalities, a cone complementarity linearization algorithm was designed to solve such matrix inequalities. An example was presented to show the effectiveness of the proposed method. © 2016, Editorial Department of Journal of Northeastern University. All right reserved.

引用

页码：1536 / 1540

页数：4

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