中文摘要：

针对线性系统有限时间稳定并满足一定性能指标的控制器设计问题,结合有限时间有界与有限时间输入输出镇定方法,给出了满足性能约束的充分条件和状态反馈控制器的设计方法。而后将此方法应用于航天器控制力矩陀螺外框电机控制设计中,其目的是在理论上严格保证系统的某些状态有界,同时利用事先给定的有限时间区间满足系统的动态品质需求。仿真结果表明：加入控制器的闭环系统能快速跟踪参考信号,同时电流值亦能满足预先在不同时段给定的界。

英文摘要：

This paper addresses the finite-time stabilization problem for linear systems.Motivated by the finite-time boundedness and input-output stability theory,a sufficient condition for the system performance requirements is presented,which in turn yields a state-feedback controller design method.Furthermore,the proposed method was applied to control an outer motor of a control moment gyroscope（CMG）.The objective is to realize the boundedness of substates,as well as the dynamic performance requirements.The simulation results demonstrate that the closed-loop system can track the reference signal quickly,while the current value satisfies the pre-given boundary.