Robust Quadratic Stabilizability and H∞ Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay
Joint Authors
Jiang, Xiushan
Tian, Xuemin
Zhang, Weihai
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper mainly discusses the robust quadratic stability and stabilization of linear discrete-time stochastic systems with state delay and uncertain parameters.
By means of the linear matrix inequality (LMI) method, a sufficient condition is, respectively, obtained for the stability and stabilizability of the considered system.
Moreover, we design the robust H∞ state feedback controllers such that the system with admissible uncertainties is not only quadratically internally stable but also robust H∞ controllable.
A sufficient condition for the existence of the desired robust H∞ controller is obtained.
Finally, an example with simulations is given to verify the effectiveness of our theoretical results.
American Psychological Association (APA)
Jiang, Xiushan& Tian, Xuemin& Zhang, Weihai. 2016. Robust Quadratic Stabilizability and H∞ Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112609
Modern Language Association (MLA)
Jiang, Xiushan…[et al.]. Robust Quadratic Stabilizability and H∞ Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1112609
American Medical Association (AMA)
Jiang, Xiushan& Tian, Xuemin& Zhang, Weihai. Robust Quadratic Stabilizability and H∞ Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1112609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112609