The problem of tracking control for a longitudinal air-breathing hypersonic vehicle model with flexible effects and intricate couplings between the engine dynamics and flight dynamics is investigated in this paper. In order to overcome the analytical intractability of this model, a simplified model is constructed during the feedback controller design. High-order dynamic sliding mode control is proposed to force the velocity and altitude of the flexible air-breathing hypersonic vehicle (FAHV) to the desired reference commands in finite time. In addition, the adaptive control method is employed to identify bounded uncertainties for eliminating the requirement of boundaries needed in the robust controller design and to guarantee the property of finite time stability without information of upper bound of uncertainties. Finally, simulations are presented to illustrate the effectiveness of the control strategies.
ADAPTIVE HOSM CONTROL FOR A FLEXIBLE HYPERSONIC VEHICLE
1719As a result of slender geometries and light structures of this generic vehicle, significant flexible effects cannot be neglected in the controller design [7], because these modes may be harmful to system stability. In order to ensure safety and reliability, controller design for AHVs must guarantee stability of the flight system and provide a satisfying control performance [8]. Recently, an airbreathing hypersonic vehicle (FAHV) model with flexible dynamics was developed in [9,10]. On the basis of this kind of FAHV models, several studies on flight control design and simulation have been published in recent years. Because of the enormous complexity of the nonlinear dynamics, linearized model has been widely employed as the basis for flight control design. In [11], nonlinear longitudinal dynamics of a FAHV was directly linearized at a specified trim condition, and a linear quadratic regulator (LQR) was presented for a region in the neighborhood of the operating point. On the other hand, many efforts have been devoted to nonlinear control design for FAHVs. Sequential loop closure controller design [12][13][14] was based on the decomposition of FAHV equations into functional subsystems. The method followed combined robust adaptive dynamic inversion with back-stepping arguments to obtain control architecture. Approximate feedback linearization was applied in [15,16], to transform the FAHV model into a MIMO model, and an LQR strategy with integral augmentation based on dynamic inversion method was adopted to provide excellent tracking performance. In [17,18], a robust nonlinear tracking controller was constructed by using a minimax LQR control approach for the FAHV model developed by David and Serrani [19]. And the minimax optimal control design method was an extension of the LQR method to a class of uncertain systems. This controller design method provided robust stability and performance for the FAHV systems under varying flight conditions.In practice, the atmospheric properties and aerodynamic characteristics in the flight envelop of FAHVs are difficult...