Linear matrix inequality conditions of nonlinear systems by genetic algorithm-based H adaptive fuzzy sliding mode controller

P. C. Chen, C. W. Chen, W. L. Chiang

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

In this paper, the stability analysis of a genetic algorithm-based (GA-based) H adaptive fuzzy sliding model controller (AFSMC) for a nonlinear system is discussed. First, a nonlinear plant is well-approximated and described with a reference model and a fuzzy model, both involving fuzzy logic control (FLC) rules. Then, FLC rules and the consequent parameter are decided on via a genetic algorithm. After this, we guarantee a new H tracking performance inequality for the control system. The H tracking problem is characterized to solve an eigenvalue problem. Next, an AFSMC is proposed to stabilize the system so as to achieve good H control performance. Lyapunov's direct method can be used to ensure the stability of the nonlinear system. It is shown that the stability analysis can reduce nonlinear systems into a linear matrix inequality problem. Finally, a numerical simulation is provided to demonstrate the control methodology.

Original languageEnglish
Pages (from-to)163-173
Number of pages11
JournalJVC/Journal of Vibration and Control
Volume17
Issue number2
DOIs
StatePublished - Feb 2011

Keywords

  • Adaptive fuzzy sliding mode control
  • H infinity
  • Lyapunov direct method

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