Composite fuzzy control of nonlinear singularly perturbed systems

Tzuu Hseng S. Li, Kuo Jung Lin

研究成果: Article同行評審

48 引文 斯高帕斯(Scopus)

摘要

This paper presents the composite fuzzy control to stabilize the nonlinear singularly perturbed (NSP) systems with guaranteed H control performance. We use the Takagi-Sugeno (T-S) fuzzy model to construct the singularly perturbed fuzzy (SPF) systems. The corresponding fuzzy slow and fast subsystems of the original SPF system are also obtained. At first, a set of common positive-define matrices and the controller gains are determined by the Lyapunov stability theorem and linear matrix inequality (LMI) approach. Then, a sufficient condition is derived for the robust stabilization of NSP systems. The composite fuzzy control will stabilize the original NSP systems for all ε ε (0, ε*) and the allowable perturbation bound ε* can be determined via some algebra inequalities. A practice example is adopted to demonstrate the feasibility and effectiveness of the proposed control scheme.

原文English
頁(從 - 到)176-187
頁數12
期刊IEEE Transactions on Fuzzy Systems
15
發行號2
DOIs
出版狀態Published - 2007 4月

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 計算機理論與數學
  • 人工智慧
  • 應用數學

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