Vibration Control for Flexible Air-Breathing Hypersonic Vehicles with Input Quantification

Abstract

This paper studies vibration control of flexible air-breathing hypersonic vehicles (FAHVs) with quantized input signal. Based on the Lyapunov's direct method, according to the stability of the quantized parameters, boundary feedback control is designed to ensure the ultimately uniformly bounded stable of the closed-loop system. Compared with existing results, we propose a quantizer, based on hysteresis-uniform quantizer and hysteresis-logarithmic quantizer. It can reduce the communication burden, reduce quantification errors, avoid system chattering, and ensure that the system has good performance. In addition, the hyperbolic tangent function is introduced into the quantification input process. Finally, the simulation results demonstrate the effectiveness of the scheme.