Abstract

This paper presents a robust adaptive nonlinear dynamic inversion control approach for the longitudinal dynamics of an air-breathing hypersonic vehicle. The proposed approach adopts a fast adaptation law using high-gain learning rate, while a low-pass filter is synthesized with the modified adaptive scheme to filter out the high-frequency content of the estimates. This modified high-gain adaptive scheme achieves a good transient process and a nice robust property with respect to parameter uncertainties, without exciting high-frequency oscillations. Based on input-output linearization, the nonlinear hypersonic dynamics are transformed into equivalent linear systems. Therefore, the pole placement technique is applied to design the baseline nonlinear dynamic inversion controller. Finally, the simulation results of the modified adaptive nonlinear dynamic inversion control law demonstrate the proposed control approach provides robust tracking of reference trajectories.

Highlights

  • Since the winged-cone hypersonic vehicle model [1] was presented by NASA Langley Research Center, the airbreathing hypersonic vehicles (AHVs) have attracted much interest around the world

  • Wang and Stengel [5] gave the condition of applying nonlinear dynamic inversion (NDI) for a generic AHV

  • The main contributions of this study are: (a) with an additional canard, the relative degree of the system is well defined without dynamic extension; (b) the pole placement technique is synthesized with the NDI to design the feedback gains of the equivalent linear system; (c) the modified adaptive scheme is adopted to improve the performance of the AHV

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Summary

Introduction

Since the winged-cone hypersonic vehicle model [1] was presented by NASA Langley Research Center, the airbreathing hypersonic vehicles (AHVs) have attracted much interest around the world. A robust control system is important to the AHVs. The feedback linearization method has been widely used in AHVs. Wang and Stengel [5] gave the condition of applying nonlinear dynamic inversion (NDI) for a generic AHV. Fiorentini et al [9] applied the canard deflection to control the outer-loop and utilized the elevator deflection to control the inner-loop, resulting in low-order subsystems Based on these low-order subsystems, a robust adaptive dynamic inversion approach was implemented to achieve robust tracking performance. The main contributions of this study are: (a) with an additional canard, the relative degree of the system is well defined without dynamic extension; (b) the pole placement technique is synthesized with the NDI to design the feedback gains of the equivalent linear system; (c) the modified adaptive scheme is adopted to improve the performance of the AHV.

Model description
Control design
NDI control for the velocity subsystem
NDI control for the altitude and pitch subsystems
C C C C c e 10 19 M L e c 11 18 M L
Pole placement technique
Simulation analysis
Findings
Conclusion
Full Text
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