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

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  • Shun-Hung Tsai
  • Wen-Hui Chen
  • Ming-Ying Hsiao

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.

Suggested Citation

  • Shun-Hung Tsai & Wen-Hui Chen & Ming-Ying Hsiao, 2012. "State-feedback stabilisation for fuzzy bilinear uncertain system with disturbance via fuzzy control approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(8), pages 1386-1395.
    • Handle: RePEc:taf:tsysxx:v:43:y:2012:i:8:p:1386-1395
    DOI: 10.1080/00207721.2011.565379
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