LAPSE:2023.6087
Published Article
LAPSE:2023.6087
Fuzzy Static Output Control of T−S Fuzzy Stochastic Systems via Line Integral Lyapunov Function
February 23, 2023
Considering some unmeasurable states, a fuzzy static output control problem of nonlinear stochastic systems is discussed in this paper. Based on a modelling approach, a Takagi−Sugeno (T−S) fuzzy system, constructed by a family of stochastic differential equations and membership functions, is applied to represent nonlinear stochastic systems. Parallel distributed compensation (PDC) technology is used to construct the static output controller. A line-integral Lyapunov function (LILF) is used to derive some sufficient conditions for guaranteeing the asymptotical stability in the mean square. From the LILF, a potential conservatism produced by the derivative of the membership function is eliminated to increase the relaxation of sufficient conditions. Furthermore, those conditions are transferred into linear matrix inequality (LMI) form via projection lemma. According to the convex optimization algorithm, the feasible solutions are directly obtained to establish the static output fuzzy controller. Finally, a numerical example is applied to demonstrate the effectiveness and usefulness of the proposed design method.
Record ID
Keywords
line-integral Lyapunov function, projection lemma, static output control, stochastic system, T–S fuzzy systems
Subject
Suggested Citation
Ku CC, Yeh YC, Lin YH, Hsieh YY. Fuzzy Static Output Control of T−S Fuzzy Stochastic Systems via Line Integral Lyapunov Function. (2023). LAPSE:2023.6087
Author Affiliations
Ku CC: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan [ORCID]
Yeh YC: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan
Lin YH: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan
Hsieh YY: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan
Yeh YC: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan
Lin YH: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan
Hsieh YY: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan
Journal Name
Processes
Volume
9
Issue
4
First Page
697
Year
2021
Publication Date
2021-04-15
Published Version
ISSN
2227-9717
Version Comments
Original Submission
Other Meta
PII: pr9040697, Publication Type: Journal Article
Record Map
Published Article
LAPSE:2023.6087
This Record
External Link
doi:10.3390/pr9040697
Publisher Version
Download
Meta
Record Statistics
Record Views
49
Version History
[v1] (Original Submission)
Feb 23, 2023
Verified by curator on
Feb 23, 2023
This Version Number
v1
Citations
Most Recent
This Version
URL Here
https://psecommunity.org/LAPSE:2023.6087
Original Submitter
Auto Uploader for LAPSE
Links to Related Works