In this paper, a state variance constrained design method is developed to deal with the observer-based fuzzy control problem for continuous Takagi-Sugeno (T-S) fuzzy stochastic models. The stability problem considered in this paper is a standard feasibility problem with several Linear Matrix Inequalities (LMIs), which can be solved numerically using the interior-point method. The purpose of this paper aims at finding observer-based fuzzy controllers such that the closed-loop system is asymptotically stable and the state variance performance constraints are satisfied. Finally, a numerical example is included to demonstrate the effectiveness of the proposed controller design method.
Chang, Wen-Jer; Yeh, Balasingam; and Meng, Yu-Teh
"STATE VARIANCE CONSTRAINED FUZZY CONTROL VIA OBSERVER-BASED FUZZY CONTROLLERS,"
Journal of Marine Science and Technology: Vol. 14:
1, Article 5.
Available at: https://jmstt.ntou.edu.tw/journal/vol14/iss1/5