earticle

영어

The robust 𝐻∞ control design for bilinear systems with multi inputs is presented in this paper. First, the bilinear system is represented as a dynamic Takagi-Sugeno (TS) fuzzy system by using sector nonlinearity approach. The dynamic TS fuzzy system is a convex combination of local linear systems. The local robust 𝐻∞ controller is designed for each local linear system. The controller synthesis for the local linear systems is then formulated in the bilinear matrix inequalities (BMIs) problem. After that, the BMIs problem is reduced to an equivalent parameter of linear matrix inequalities (LMIs) problem which has a feasible solution. The robust 𝐻∞ controller for bilinear systems as a convex combination of the local robust 𝐻∞ controllers is obtained by using defuzzyfication. The existence condition of the robust 𝐻∞ controller for the bilinear systems is also presented. The simulation results are given to clarify the proposed method for the robust 𝐻∞ control design of the bilinear systems.