Fuzzy regulators and fuzzy observers: a linear matrix inequality approach

This paper presents LMI (linear matrix inequality) based designs of fuzzy control systems based on new relaxed stability conditions. LMI based design procedures for fuzzy regulators and fuzzy observers are constructed using the parallel distributed compensation and the relaxed stability conditions. The design procedures realize effective and practical designs by utilizing other LMIs with respect to decay rate and constraints on control input and output. A design example for a nonlinear system demonstrates the utility of the LMI based design procedures.