Variance constrained fuzzy control for observer-based T-S fuzzy models with minimizing auxiliary performance index

Article type: Research Article

Authors: Chang, Wen-Jer | Yeh, Yi-Lin | Chang, Wei

Affiliations: Department of Marine Engineering, National Taiwan Ocean University, Keelung 202, Taiwan

Note: [] Corresponding author. Tel.: +886 2 24622192 Ext. 7110; Fax: +886 2 24633765; E-mail: wjchang@mail.ntou.edu.tw

Abstract: Research on variance constrained control design problems for stochastic systems has received rather extensive attention in recent years. In this paper, this problem is solved by using the fuzzy control with observed-state feedback gains for continuous Takagi-Sugeno (T-S) fuzzy stochastic systems. The proposed control purpose aims at finding observed-state feedback fuzzy controllers such that the closed-loop system is asymptotically stable and the control input energy is minimized subject to the state variance performance constraints. Extending the practical fuzzy control theory incorporating the concept of state estimation, a variance constrained control methodology is developed for the continuous T-S fuzzy stochastic systems. Finally, a numerical is presented to illustrate the application of the present approach.

Keywords: Nonlinear stochastic systems, Takagi-Sugeno fuzzy model, control input energy, state variance constraints, linear matrix inequality

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 1, pp. 59-69, 2006