Research ArticleRobust fuzzy output feedback controller for affine nonlinear systems via T-S fuzzy bilinear model: CSTR benchmark

- H∞ fuzzy controller is designed for affine NL systems via T-S fuzzy bilinear model.
- The PDC technique is utilized to design a fuzzy output feedback controller.
- Stability conditions of T-S fuzzy model are formulated in terms of Lyapunov via LMI.
- The desired controller gains can be obtained by solving a set of LMI.
- CSTR benchmark is used to illustrate the applicability of the proposed method.

In this paper, a robust H∞ fuzzy output feedback controller is designed for a class of affine nonlinear systems with disturbance via Takagi-Sugeno (T-S) fuzzy bilinear model. The parallel distributed compensation (PDC) technique is utilized to design a fuzzy controller. The stability conditions of the overall closed loop T-S fuzzy bilinear model are formulated in terms of Lyapunov function via linear matrix inequality (LMI). The control law is robustified by H∞ sense to attenuate external disturbance. Moreover, the desired controller gains can be obtained by solving a set of LMI. A continuous stirred tank reactor (CSTR), which is a benchmark problem in nonlinear process control, is discussed in detail to verify the effectiveness of the proposed approach with a comparative study.