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.