Piecewise robust H∞ filtering for fuzzy systems with time-varying uncertainty

Based on a piecewise quadratic Lyapunov function, this paper investigates the piecewise robust H_infin filtering design problem for fuzzy systems subject to time-varying uncertainties. It is shown that via suitable matrix linearization transformations and changes of variables, the design problem can be converted into a convex programming problem in term of linear matrix inequalities. Finally, a simulation example is presented to illustrate the application and performance of the proposed approach