Mixed H₂/H_∞ control using a fuzzy singularly perturbed model with multiple perturbation parameters for gust load alleviation

This paper presents a mixed H₂/H_∞ control using fuzzy singularly perturbed model (FSPM) with multiple perturbation parameters. Since FSPM with multiple perturbation parameters is an extension of models with a single perturbation parameter, the theoretical results are applicable to a larger class of systems described by multiple time scale nonlinear models, such as flying aircraft and flexible space robots. The parameter-independent solution of the mixed H₂/H_∞ controller was obtained in the form of linear matrix inequalities (LMIs). The application of this approach to gust load alleviation of a flying vehicle verifies its effectiveness and flexibility.