Stochastic H∞ Control for Discrete-Time Singular Systems with State and Disturbance Dependent Noise

Autor: Yong Zhao, Xiushan Jiang, Weihai Zhang
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2017 (2017)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2017/4173852
Popis: This paper is concerned with the stochastic H∞ state feedback control problem for a class of discrete-time singular systems with state and disturbance dependent noise. Two stochastic bounded real lemmas (SBRLs) are proposed via strict linear matrix inequalities (LMIs). Based on the obtained SBRLs, a state feedback H∞ controller is presented, which not only guarantees the resulting closed-loop system to be mean square admissible but also satisfies a prescribed H∞ performance level. A numerical example is finally given to illustrate the effectiveness of the proposed theoretical results.
Databáze: Directory of Open Access Journals