Abstract

AbstractAircraft are considered to be sub‐stable within the flight envelope. This paper presents a chaotic analysis and two kinds of corresponding control methods of aircraft longitudinal flight dynamics. First, the chaotic behavior of the open loop longitudinal flight system is confirmed by the Poincaré section and the Lyapunov exponent. Studies have found that the flight envelope can be divided into a stable area and a sub‐stable area. The probability of instability caused by chaos exists in the sub‐stable area. The definition of the chaotic boundary is also given. Second, based on the chaotic analysis results and considering three different combinations of aircraft mass and elevator deflection, a linear feedback control (LFC) method is implemented to stabilize the chaotic boundary and enlarge the stable area. Third, taking system uncertainties into consideration, an adaptive backstepping sliding mode control (AB‐SMC) method is applied to the trajectory tracking problem of aircraft longitudinal motion, which is based on classic SMC, backstepping and dynamic surface methods. The numerical simulations are given, which can demonstrate the applicability of the proposed control methods.

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