Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/113844
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Resilient and robust finite-time H∞ control for uncertain discrete-time jump nonlinear systems |
Other Titles: | Resilient and robust finite-time H-infinity control for uncertain discrete-time jump nonlinear systems |
Author: | Zhang, Y. Shi, Y. Shi, P. |
Citation: | Applied Mathematical Modelling: simulation and computation for engineering and environmental systems, 2017; 49:612-629 |
Publisher: | Elsevier |
Issue Date: | 2017 |
ISSN: | 0307-904X 1872-8480 |
Statement of Responsibility: | Yingqi Zhang, Yan Shi, Peng Shi |
Abstract: | This paper studies the robust and resilient finite-time H∞ control problem for uncertain discrete-time nonlinear systems with Markovian jump parameters. With the help of linear matrix inequalities and stochastic analysis techniques, the criteria concerning stochastic finite-time boundedness and stochastic H∞ finite-time boundedness are initially established for the nonlinear stochastic model. We then turn to stochastic finite-time controller analysis and design to guarantee that the stochastic model is stochastically H∞ finite-time bounded by employing matrix decomposition method. Applying resilient control schemes, the resilient and robust finite-time controllers are further designed to ensure stochastic H∞ finite-time boundedness of the derived stochastic nonlinear systems. Moreover, the results concerning stochastic finite-time stability and stochastic finite-time boundedness are addressed. All derived criteria are expressed in terms of linear matrix inequalities, which can be solved by utilizing the available convex optimal method. Finally, the validity of obtained methods is illustrated by numerical examples. |
Keywords: | Markovian jump systems; nonlinear systems; stochastic finite-time boundedness; resilient finite-time H∞ control; robust control |
Description: | Available online 1 March 2017 |
Rights: | © 2017 Elsevier Inc. All rights reserved. |
DOI: | 10.1016/j.apm.2017.02.046 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 61174058 61573112 11571322 U1509217 |
Published version: | http://dx.doi.org/10.1016/j.apm.2017.02.046 |
Appears in Collections: | Aurora harvest 3 Electrical and Electronic Engineering publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.