JACIII Vol.25 No.3 pp. 317-325
doi: 10.20965/jaciii.2021.p0317


A Control Approach Based on Observers of State and Uncertainty for a Class of Takagi–Sugeno Fuzzy Models

Jun Zhao* and Hugang Han**

*School of Automation Engineering, Northeast Dianli Univeristy
169 Changchun Road, Jilin, Jilin, China

**Faculty of Information and Management Systems, Prefectural University of Hiroshima
1-1-71 Ujina-Higashi, Minami-ku, Hiroshima, Hiroshima 724-8558, Japan

December 20, 2019
February 22, 2021
May 20, 2021
state observer, uncertainty observer, Nussbaum-type function, Takagi–Sugeno (T–S) Fuzzy Model

Although the Takagi–Sugeno fuzzy model is effective for representing the dynamics of a plant to be controlled, two main questions arise when using it just as other models: 1) how to deal with the gap, which is referred to as uncertainty in this study, between the model and the concerned plant, and how to estimate the state information when it cannot be obtained directly, especially with the existence of uncertainty; 2) how to design a controller that guarantees a stable control system where only the estimated state is available and an uncertainty exists. While the existing studies cannot effectively observe the state and the resulting control systems can only be managed to be uniformly stable, this study first presents a state observer capable of precisely estimating the state regardless of the existence of uncertainty. Then, based on the state observer, an uncertainty observer is derived, which can track the trajectory of uncertainty whenever it occurs in a real system. Finally, a controller based on both observers is presented, which guarantees the asymptotic stability of the resulting control system.

Cite this article as:
Jun Zhao and Hugang Han, “A Control Approach Based on Observers of State and Uncertainty for a Class of Takagi–Sugeno Fuzzy Models,” J. Adv. Comput. Intell. Intell. Inform., Vol.25, No.3, pp. 317-325, 2021.
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Last updated on Jun. 22, 2021