Study on stability of stochastic switched fuzzy systems based on novel integrated controllers

The controller design of switched systems considering stochastic and fuzzy cases is studied. This system based on novel integrated controllers are proposed to deal with the system states, and disturbances, simultaneously. The proposed switching law can be treated as this system studied in this paper. Using the special multi-Lyapunov function method in switched systems, the design results are given in the form of linear matrix inequality, so that the studied system can maintain asymptotic stability under disturbances. Moreover, the simulation comparison experiment is carried out. From the results, it can be seen that the designed controller makes each performance of the system better than the comparison controller.