Stability control of bilinear systems with input constraint based on Takagi-Sugeno fuzzy rules

For a class of fuzzy bilinear systems (FBS) based on fuzzy Takagi-Sugeno (T-S) rules, the problem of system stability analysis and controller design with input constraint is presented. By constructing Lyapunov function, sufficient conditions for system feedback stabilization are given, and the idea of cone complementarity linearization method is introduced in the process of feedback controller gain solving. The controller's solution is transformed into a linear matrix inequality (LMI) constraints minimization problem which can be solved by Matlab. Finally, utilizing an continuous stirring tank reactor system with input constraint to demonstrate the validity and effectiveness of the the design procedure.