State-feedback stabilisation for fuzzy bilinear uncertain system with disturbance via fuzzy control approach
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-infinity 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.
fuzzy control linear matrix inequality robust h-infinity control t-s fuzzy model