Abstract
This paper considers $$H_{\infty }$$H? filtering of discrete-time uncertain switched nonlinear systems with time-varying delay via Takagi---Sugeno fuzzy model which is used to approximate each nonlinear subsystem. Fuzzy piecewise Lyapunov---Krasovskii functionals and average dwell time approaches are utilized for the exponential stability analysis and $$H_{\infty }$$H? filter design. A new sufficient condition is obtained to guarantee the exponential stability with a prescribed $$H_{\infty }$$H? performance index for the filtering error system. Filter parameter matrices can be obtained by solving sets of linear matrix inequalities. An example of an uncertain single-link robot arm is given to demonstrate the effectiveness of the proposed method.
Published Version
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