State-feedback stabilisation for fuzzy bilinear uncertain system with disturbance via fuzzy control approach

Abstract

This article presents a fuzzy control scheme for a class of Takagi–Sugeno (T–S) fuzzy uncertain bilinear system with disturbance (FUBSD). First, the T–S FUBSD is established and based on the parallel distributed compensation method, the overall robust H _∞ fuzzy controller is proposed to globally stabilise the T–S FUBSD. Then, some sufficient conditions are derived to guarantee the robust stabilisability of the overall fuzzy control system via linear matrix inequalities. Finally, a numerical example is utilised to demonstrate the validity and effectiveness of the proposed control scheme.

Keywords:

• fuzzy control
• linear matrix inequality
• robust H _∞ control
• T–S fuzzy model

Acknowledgements

This work was supported by the National Science Council of Taiwan, ROC, under Grant NSC-98-2221-E-027-120- and NSC-99-2221-E-027-101-.