ABSTRACT

In this paper, we design a new nonequidistant sampling pattern such that the property of controllability and observability of the linear continuous time systems is preserved during the procedure of the sample and zero-order hold operation. The idea behind the strategy comes from Kronecker's theorem and it is proven that new construction is more effective by requiring less number of sampling times which guarantees controllability and observability of sampled-data system in two dimensional space. Moreover, we provide one application in the concept of controllability of the pendulum in two dimensional space and obtain corresponding digital controls which make the corresponding sampled-data system controllable. Finally, the research is extended to different type of sampling patterns which are compared with the constructed sampling pattern separately.

摘要

在本文中，我们设计了一种新的非等距采样模式，以便在采样和零阶保持操作的过程中保留线性连续时间系统的可控性和可观测性。该策略背后的思想来自 Kronecker 定理，并且证明新结构通过需要更少的采样次数而更有效，这保证了二维空间中采样数据系统的可控性和可观察性。此外，我们在二维空间中摆的可控性概念中提供了一个应用，并获得了相应的数字控制，使相应的采样数据系统可控。最后，