Gain-Scheduled Nash Games with H∞ Constraint for Stochastic LPV Systems

被引：3

作者：

Mukaidani, Hiroaki ^{[1
]}

Unno, Masaru ^{[2
]}

Xu, Hua ^{[3
]}

Dragan, Vasile ^{[4
]}

机构：

[1] Hiroshima Univ, 1-7-1 Kagamiyama, Higashihiroshima 7398521, Japan

[2] NTT Finance Corp, Minato Ku, 1-2-1 Seavans N 19th Floor, Tokyo 1056791, Japan

[3] Univ Tsukuba, Bunkyo Ku, 3-29-1 Otsuka, Tokyo 1120012, Japan

[4] Romanian Acad, Inst Math, POB 1-764, RO-014700 Bucharest, Romania

来源：

IFAC PAPERSONLINE | 2017年 / 50卷 / 01期

关键词：

Stochastic systems; LPV systems; Nash games; H-infinity constraint; H-2/H-INFINITY CONTROL;

D O I：

10.1016/j.ifacol.2017.08.294

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, gain-scheduled Nash games with H-infinity constraint for stochastic linear parameter varying (LPV) systems is investigated. First, as preliminaries, the modified stochastic bounded real lemma and linear quadratic control (LQC) for the LPV systems are studied. The results are then applied to solve the gain-scheduled Nash games with H-infinity constraint for stochastic LPV systems. It is shown that the Nash equilibrium with H-infinity constraint can be obtained by solving the cross-coupled matrix inequalities (CCMIs). A numerical algorithm for solving the CCMIs is developed, and it is applied to solve a numerical example. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：1478 / 1483

页数：6

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