Polynomial fuzzy models for nonlinear control: a Taylor series approach
IEEE Transactions on Fuzzy Systems
Modelling ellipsoidal uncertainty by multidimensional fuzzy sets
Expert Systems with Applications: An International Journal
Robust PI controller design with respect to fuzzy sensitivity margins
Applied Soft Computing
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This paper discusses fuzzy specifications for robust controller design, as a way to define different specification levels for different plants in a family and allow the control of performance degradation. Controller synthesis will be understood as mapping a fuzzy plant onto a desired fuzzy set of closed-loop specifications. In this context, a fuzzy plant is considered as a possibility distribution on a given plant space. In particular, pole placement in linear plants with fuzzy parametric uncertainty is discussed, although the basic idea is general and could be applied to other settings. In the case under consideration, the controller coefficients are the solution of a fuzzy linear system of equations with a particular semantics. Modal interval arithmetic is used to solve the system for each alpha-cut. The intersection of the solutions, if not empty, constitutes the solution to the robust control problem