Generalized H2 Controller Synthesis of Fuzzy Dynamic Systems Based on Piecewise Lyapunov Functions

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Original languageEnglish
Pages (from-to)1843-1850
Journal / PublicationIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number12
Publication statusPublished - Dec 2002


This brief presents a generalized H2 controller synthesis method for the Takagi-Sugeno (T-S) fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct a controller for fuzzy dynamic systems in such a way that a piecewise-continuous Lyapunov function can be used to establish the global stability with generalized H2 performance of the resulting closed-loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of linear matrix inequalities. An example is given to illustrate the application of the proposed method.

Research Area(s)

  • Controller synthesis, Fuzzy systems, H2 control, Linear matrix inequality (LMI), Piecewise Lyapunov functions