Composite fuzzy control of nonlinear singularly perturbed systems

Tzuu Hseng S. Li, Kuo Jung Lin

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)176-187
Number of pages12
JournalIEEE Transactions on Fuzzy Systems
Issue number2
Publication statusPublished - 2007 Apr

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence
  • Applied Mathematics

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