LAPSE:2023.6087
Published Article
LAPSE:2023.6087
Fuzzy Static Output Control of T−S Fuzzy Stochastic Systems via Line Integral Lyapunov Function
Cheung-Chieh Ku, Yun-Chen Yeh, Yann-Hong Lin, Yu-Yen Hsieh
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.
Keywords
line-integral Lyapunov function, projection lemma, static output control, stochastic system, T–S fuzzy systems
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
Journal Name
Processes
Volume
9
Issue
4
First Page
697
Year
2021
Publication Date
2021-04-15
Published Version
ISSN
2227-9717
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PII: pr9040697, Publication Type: Journal Article
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doi:10.3390/pr9040697
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