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Designing Systematic Stable Fuzzy Logic Controllers by Fuzzy Lyapunov Synthesis

  • María Concepción Ibarra
  • Oscar Castillo
  • Jose Soria
Part of the Studies in Computational Intelligence book series (SCI, volume 451)

Abstract

Fuzzy logic handles information imprecision using intermediate expressions to define assessments. Fuzzy Systems are intelligent models whose main application has been in Control Engineering applications. Stability is one of the most important issues of control systems. This determines the system to respond in an acceptable way. This work is based on the fuzzy Lyapunov synthesis in the design of fuzzy controllers, to verify the system’s stability. The stability will be studied on Mamdani and Sugeno fuzzy systems .The case study presented is a system of a cylindrical tank of water, where we aim to maintain a certain level of water, which is regulated through the controls applied to the water outlet valve of the tank. The method is also tested using an inverted pendulum, which is an unstable system, which can fall at any time unless an appropriate force is applied control.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • María Concepción Ibarra
    • 1
  • Oscar Castillo
    • 1
  • Jose Soria
    • 1
  1. 1.Tijuana Institute of TechnologyTijuanaMéxico

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