Robust H∞ control for Markovian jump nonlinear systems

被引：10

作者：

Aliyu, M.D.S. ^{[1
]}

Boukas, E.K. ^{[2
]}

机构：

[1] Systems Engineering Department, King Fahd Univ. Petrol. and Minerals

[2] Mechanical Engineering Department, Ecl. Polytech. de Montréal, Montréal, Qué. H3C 3A7, P.O. Box 6079, stn. 'Center-ville'

来源：

IMA Journal of Mathematical Control and Information | 2000年 / 17卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

E. K. B. was supported by the Natural Sciences and Engineering Research Council of Canada under grants OGP0036444;

D O I：

10.1093/imamci/17.3.295

中图分类号：

学科分类号：

摘要：

This paper deals with the robust H∞ control problem of uncertain nonlinear stochastic systems with Markovian jump parameters. We assume that the uncertainties are structured such that suitable bounding functions can be found. A robust controller is then designed that will guarantee disturbance attenuation and asymptotic stability for all admissible uncertainties and L2-bounded disturbances. The solution to the problem is characterized in terms of a set of smooth-positive semidefinite functions satisfying certain Hamilton-Jacobi-Isaac (HJI) inequalities with some appropriate scaling functions. Both the case of matched and unmatched uncertainties are considered.

引用

页码：295 / 308

页数：13

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