Some results on disturbance attenuation for Hamiltonian systems via direct discrete-time design

被引：2

作者：

Yaclin, Yaprak ^{[1
]}

Goren-Sumer, Leyla ^{[1
]}

Astolfi, Alessandro ^{[2
]}

机构：

[1] Istanbul Tech Univ, Dept Control Engn, TR-80626 Istanbul, Turkey

[2] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect, Control & Power Res Grp, London, England

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 13期

关键词：

Hamiltonian systems; nonlinear systems; disturbance attenuation; H-infinity optimal control; robust control; H-INFINITY-CONTROL; PASSIVITY-BASED CONTROL; INPUT-OUTPUT; STABILIZATION; INTERCONNECTION; FEEDBACK;

D O I：

10.1002/rnc.3175

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The disturbance attenuation and robust disturbance attenuation problems for Hamiltonian systems in the discrete-time setting are considered and some new results are presented. The new results are derived utilizing the recently presented dissipativity equality obtained by adding the dissipation rate function to the classical dissipativity inequality. A selection of the dissipation rate function yields new results. These results include a condition on the dissipation structure of the system to achieve the desired disturbance attenuation level and gives direct construction of optimal control laws for any desired disturbance attenuation level. The results remove the need to solve Hamilton-Jacobi-Isaacs inequalities. Copyright (C) 2014 John Wiley & Sons, Ltd.

引用

页码：1927 / 1940

页数：14

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