Finite-Time H2/H∞ Control for Linear Ito Stochastic Systems with (x, u, v)Dependent Noise

被引：5

作者：

Yan, Zhiguo ^{[1
,2
,3
]}

Zhong, Shiyu ^{[1
]}

Liu, Xingping ^{[1
]}

机构：

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Elect Engn & Automat, Jinan 250353, Shandong, Peoples R China

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China

[3] Qilu Univ Technol, Shandong Acad Sci, Minist Educ China, Key Lab Pulp & Paper Sci & Technol, Jinan 250353, Shandong, Peoples R China

来源：

COMPLEXITY | 2018年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

H-INFINITY CONTROL; JUMP SYSTEMS; STABILITY; STATE; STABILIZATION;

D O I：

10.1155/2018/1936021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the problem of the H-2/H-infinity control based on finite-time boundedness for linear stochastic systems. The motivation for investigating this problem comes from one observation that the H-2/H-infinity control does not involve systems' transient performance. To express this problem clearly, a concept called finite-time H-2/H-infinity control is introduced. Moreover, state feedback and observer-based finite-time H-2/H-infinity controllers are designed, which guarantee finite-time boundedness, H-2 performance index, and H-2/H-infinity performance index of the closed-loop systems. Furthermore, an optimization algorithm on the finite-time H-2/H-infinity control is presented to obtain the minimum values of the H(2 )index and H-infinity index. Finally, we use an example to show the validity of the obtained results.

引用

页数：13

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