Finite-Delay Input Reconstruction for Left-Invertible Discrete-Time Systems with Zero Nonzero Zeros
Finite-Delay Input Reconstruction for Left-Invertible Discrete-Time Systems with Zero Nonzero Zeros
复制标题
具有零非零零点的左可逆离散时间系统的有限延迟输入重构
DOI：
--
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
D. Bernstein
中科院分区：
文献类型：
--
作者：
Sneha Sanjeevini;D. Bernstein
本文考虑了在初始条件未知的情况下，传递函数具有全列正态秩的离散时间系统的有限延迟输入重构问题。主要结果表明，如果传递函数具有有限脉冲响应 (FIR) 延迟左逆，则输入重构是可能的。还表明，当且仅当系统具有零个非零零时，存在具有最小可能延迟的 FIR 延迟左逆。这些结果提供了对于离散时间线性时不变系统可以进行具有未知初始条件的有限延迟输入重建的条件。
This paper considers the problem of finite-delay input reconstruction for discrete-time systems whose transfer functions have full column normal rank in the case where the initial condition is unknown. The main result states that, if the transfer function has a finite-impulse-response (FIR) delayed left inverse, then input reconstruction is possible. It is also shown that an FIR delayed left inverse with minimum possible delay exists if and only if the system has zero nonzero zeros. These results provide conditions under which finite-delay input reconstruction with unknown initial conditions is possible for discrete-time linear time-invariant systems.