![](/images/graphics-bg.png)
State-Feedback H∞ Control for LPV System Using T-S Fuzzy Linearization Approach
Joint Authors
Liu, Jizhen
Hu, Yang
Lin, Zhongwei
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-30
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper discusses the linear parameter varying (LPV) gain scheduling control problem based on the Takagi-Sugeno (T-S) fuzzy linearization approach.
Firstly, the affine nonlinear parameter varying (ANPV) description of a class of nonlinear dynamic processes is defined; that is, at any scheduling parameter, the corresponding system is affine nonlinear as usual.
For such a class of ANPV systems, a kind of developed T-S fuzzy modeling procedure is proposed to deal with the nonlinearity, instead of the traditional Jacobian linearization approach.
More concretely, the evaluation system for the approximation ability of the novelly developed T-S fuzzy modeling procedure is established.
Consequently, the LPV T-S fuzzy system is obtained which can approximate the ANPV system with required accuracy.
Secondly, the notion of piecewise parameter-dependent Lyapunov function is introduced, and then the stabilization problem and the state-feedback H∞ control problem of the LPV T-S fuzzy system are studied.
The sufficient conditions are given in linear matrix inequalities (LMIs) form.
Finally, a numerical example is provided to demonstrate the availability of the above approaches.
The simulation results show the high approximation accuracy of the LPV T-S fuzzy system to the ANPV system and the effectiveness of the LPV T-S fuzzy gain scheduling control.
American Psychological Association (APA)
Liu, Jizhen& Hu, Yang& Lin, Zhongwei. 2013. State-Feedback H∞ Control for LPV System Using T-S Fuzzy Linearization Approach. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-1008592
Modern Language Association (MLA)
Liu, Jizhen…[et al.]. State-Feedback H∞ Control for LPV System Using T-S Fuzzy Linearization Approach. Mathematical Problems in Engineering No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-1008592
American Medical Association (AMA)
Liu, Jizhen& Hu, Yang& Lin, Zhongwei. State-Feedback H∞ Control for LPV System Using T-S Fuzzy Linearization Approach. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-1008592
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008592