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Observer-based Controller Design for A T-S Fuzzy System with Unknown Premise Variables

  • Wen-Bo XieEmail author
  • He Li
  • Zhen-Hua Wang
  • Jian Zhang
Regular Papers Control Theory and Applications
  • 19 Downloads

Abstract

For the stabilization problem of T-S fuzzy system, a new observer-based controller design approach is proposed when premise variables are not accessible. With a fuzzy observer, the estimated states error system is described as two parts: unknown premise variable caused terms and observer error terms. Consider the property that the norm of the unknown premise variable caused terms are under a Lipschitz condition constraint of observer error, an observer and controller errors augmented system is obtained. Then based on the Lyapunov function method, a series of linear matrix inequality conditions are proposed to asymptotically stabilize the system, the observer gain matrices are used to overcome the uncertainties caused by UPVs. Finally a simulation example is used to illustrate the effectiveness of the proposed method, comparisons with traditional method shows the conservatism reduction effects.

Keywords

Controller observer T-S fuzzy system unknown premise variables 

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Copyright information

© ICROS, KIEE and Springer 2019

Authors and Affiliations

  1. 1.School of AutomationHarbin University of Science and TechnologyHarbinP. R. China
  2. 2.School of AstronauticsHarbin Institute of Technology150001P. R. China
  3. 3.College of Power and Energy EngineeringHarbin Engineering UniversityHarbinP. R. China

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