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反馈系统的设计会受到闭环系统特性的制约 .本文给出了反馈控制系统接近虚轴或虚轴上的稳定零点对跟踪误差的时间域积分约束 .这一时间域积分约束是任何一个线性时不变系统为保证其闭环系统的稳定性 ,其跟踪误差必须满足的 .接近虚轴或虚轴上的稳定零的存在表明跟踪误差与调节时间之间存在某种折中 .对固定的调节时间 ,本文给出了在虚轴上存在零点情形下 ,其跟踪误差的无穷范数下界的一个有效估计 .此估计表明 ,零点的绝对值越小 ,其无穷范数的下界越大 .这些约束由一个例子加以解释 .
The design of the feedback system is restricted by the characteristics of the closed-loop system.In this paper, the time-domain integral constraints of the stable zero point and the tracking error of the feedback control system near the imaginary axis or the imaginary axis are given. The integration constraint in this time domain is any linear time- Variable system in order to ensure the stability of its closed-loop system, the tracking error must be met.Proximal to the virtual axis or the presence of a stable zero on the imaginary axis indicates that there is some trade-off between tracking error and adjustment time.For a fixed adjustment time, In this paper, we give an effective estimation of the lower bound of the infinite norm of tracking error when the zero point exists on the imaginary axis. The estimation shows that the smaller the absolute value of zero, the larger the lower bound of its infinite norm. Examples to explain.