Reachability Analysis-Based Interval Estimation for Discrete-Time Takagi-Sugeno Fuzzy Systems
- Authors
- Guo, Shenghui; Ren, Weijie; Ahn, Choon Ki; Wen, Chenglin; Lam, Hak-Keung
- Issue Date
- Jun-2022
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Discrete-time systems; interval estimation; parameterized linear matrix inequality (LMI); reachability analysis; robust observer; Takagi-Sugeno fuzzy systems
- Citation
- IEEE TRANSACTIONS ON FUZZY SYSTEMS, v.30, no.6, pp.1981 - 1992
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON FUZZY SYSTEMS
- Volume
- 30
- Number
- 6
- Start Page
- 1981
- End Page
- 1992
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/143010
- DOI
- 10.1109/TFUZZ.2021.3072681
- ISSN
- 1063-6706
- Abstract
- Considering disturbances, noise, and sensor faults, this article investigates interval estimation for discrete-time Takagi-Sugeno fuzzy systems. To obtain precise estimation results and attenuate disturbances and noise in the system simultaneously, we integrate robust observers based on the H-infinity technique and reachability analysis. Two novel observer gain computation methods are proposed for different purposes. The time-invariant method relaxes the original design conditions by transforming the parameterized linear matrix inequality (LMI) into a series of LMIs to increase computational speed, while the time-varying method employs the parameterized LMI directly and conducts calculation online. Furthermore, reachable set representations for error dynamics are formulated by making use of both time-invariant observer gain and time-varying observer gain. An inverted pendulum system simulation and a comparative numerical simulation are studied to illustrate the effectiveness and superiority of the developed methods.
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