New Results on Sliding-Mode Control for Takagi–Sugeno Fuzzy Multiagent Systems

Abstract

This paper investigates the sliding-mode control (SMC) problem of Takagi–Sugeno (T–S) fuzzy multiagent systems (MASs). A cooperative fuzzy-based dynamical sliding-mode (SM) controller is designed and the overall closed-loop T–S fuzzy MAS is constructed. A new model transformation method for T–S fuzzy MASs is presented to transform the fuzzy weighting matrix into a set of fuzzy weighting scalars. By applying the method of linear matrix inequality, a general stability analysis approach for T–S fuzzy MASs is proposed. Moreover, the energy-cost constraint problem is studied by using the linear quadratic regulator method. Finally, numerical examples are provided to illustrate the effectiveness of the proposed theoretical approaches and the improved performance compared to existing results.