A geometric approach to H∞ control of nonlinear Markovian jump systems

被引：7

作者：

Lin, Zhongwei ^{[1
]}

Liu, Jizhen ^{[1
]}

Zhang, Weihai ^{[2
]}

Niu, Yuguang ^{[1
]}

机构：

[1] North China Elect Power Univ, Sch Control & Comp Engn, State Key Lab Alternate Elect Power Syst Renewabl, Beijing 102206, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Informat & Elect Engn, Qingdao 266510, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2014年 / 87卷 / 09期

基金：

中国国家自然科学基金;

关键词：

H-infinity control; nonlinear system; Markovian jump system; stabilisation; STABILIZATION; DISSIPATIVITY; FEEDBACK;

D O I：

10.1080/00207179.2014.891292

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper first discusses the H-infinity control problem for a class of general nonlinear Markovian jump systems from the viewpoint of geometric control theory. Following with the updating of the Markovian jump mode, the appropriate diffeomorphism can be adopted to transform the system into special structures, which establishes the basis for the geometric control of nonlinear Markovian jump systems. Through discussing the strongly minimum-phase property or the strongly gamma-dissipativity of the zero-output dynamics, the H-infinity control can be designed directly without solving the traditional coupled Hamilton-Jacobi inequalities. A numerical example is presented to illustrate the effectiveness of our results.

引用

页码：1833 / 1845

页数：13

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