高超声速飞行器异步切换的鲁棒H∞控制

针对高超声速飞行器子系统与控制器异步切换问题，提出了一种鲁棒H_∞控制策略.构造了依赖于控制器切换信号的Lyapunov函数，可以有效抵消由异步切换带来的控制器设计困难，结合平均驻留时间方法和Lyapunov函数方法，分析了系统的全局一致渐近稳定性和H_∞性能指标，设计了异步切换的鲁棒H_∞控制器.仿真结果表明，该方法实现高超声速飞行器在异步切换过程中对指令的精确跟踪，控制量在异步切换时刻无跳跃现象，同时对扰动具有较强的抑制作用.

Robust H∞ control for hypersonic vehicles under asynchronous switching

A new robust H_∞ control design method was presented for hypersonic vehicles under asynchronous switching between the controllers and subsystems. A Lyapunov function dependent on switching signal of controllers was constructed, which could effectively counteract the intractable problem of controller design under asynchronous switching. Moreover, employing the average dwell time technique and Lyapunov function method, the globally uniformly asymptotically stable with the H_∞ performance index was investigated, and the robust H_∞ controllers were designed. Simulation results show that the robust H_∞ control system of hypersonic vehicles provides satisfactory command tracking and avoids the state jumping under asynchronous switching with a high containment procedure for the turbulence.