Fuzzy stable inversion-based output tracking for nonlinear non-minimum phase system and application to FAHVs

In this paper, a novel fuzzy stable inversion-based output tracking control for multi-input multi-output (MIMO) nonlinear non-minimum phase system is investigated. By applying input/output linearization, the nonlinear system is transformed into a standard form. By applying T-S fuzzy based non-causal inversion approach, more reliable ideal internal dynamics (IID) of the nonlinear system are obtained. The output tracking problem is transformed into a state tracking one, then the T-S fuzzy model technology, which can get a more practical description than simple linearization, is utilized to approach the complex nonlinearity of the internal dynamics. A fuzzy controller design method is proposed for the constructed T-S fuzzy model. The proposed method can improve the control performance of the stable inversion based method, and can be easily solved by standard numerical algorithms. Moreover, the proposed control scheme is applied to solve the output tracking problem of flexible air-breathing hypersonic vehicles (FAHVs).