Indirect Adaptive Interval Type-2 Fuzzy Sliding Mode Controller Design for Flexible Air-breathing Hypersonic Vehicles

Abstract An indirect adaptive interval type-2 fuzzy sliding mode controller (AIT2-FSMC) for flexible air-breathing hypersonic vehicle (FAHV) longitudinal model is presented in this paper. The proposed controller is designed by combining an adaptive Mamdani linguistic based interval type-2 fuzzy logic system (IT2-FLS) with sliding mode control technique. For the sake of the FAHV longitudinal model stably controlled under parametric and structural uncertainties which mainly come from varying aerodynamic interferences, flexible modes in airframe mutual couplings and fuel consumptions in practical conditions, we decouple the model through feedback linearization and design the main controller by sliding mode control technique to achieve the system convergence. Moreover, three adaptive interval type-2 fuzzy logic systems, which uses difference combinations of velocity and altitude tracking errors, pitch angle and slip slide angle as the inputs of antecedent sets, are designed to estimate nonlinear time varying functions and inverse matrix with bounded uncertainties. The adaptive law of the IT2-FSMC is derived through Lyapunov synthesis approach to guarantee the system asymptotic stability. Several comparisons under different levels of complex parametric and structural uncertainties have been done. The simulation results validate the performance of the proposed controller with robustness and effectiveness.

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