On construction of sampling patterns for preserving observability/controllability of linear sampled-data systems

Date

2020-07-01

Author

Hamidoğlu, Ali
Mahmudov, Elmkhan

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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.

Subject Keywords

Control and Systems Engineering, Computer Science Applications

URI

https://hdl.handle.net/11511/64585

Journal

INTERNATIONAL JOURNAL OF CONTROL

DOI

https://doi.org/10.1080/00207179.2020.1787523

Collections

Department of Mathematics, Article

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Citation Formats

A. Hamidoğlu and E. Mahmudov, “On construction of sampling patterns for preserving observability/controllability of linear sampled-data systems,” INTERNATIONAL JOURNAL OF CONTROL, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64585.