Questions of controllability and observability for nonuniformly sampled discrete systems

TL;DR

This paper investigates how the controllability and observability of nonuniformly sampled discrete systems can be characterized and improved by selecting appropriate sampling sequences, leveraging geometric structures for enhanced system analysis.

Contribution

It introduces a joint characterization method for controllability and observability in nonuniform sampling, emphasizing the role of sampling sequence selection to enhance system properties.

Findings

Sampling sequence choice affects controllability and observability.

Geometric structures can be exploited to improve system analysis.

Qualitative examples illustrate the method's effectiveness.

Abstract

A joint characterisation of the controllability and observability of a particular kind of discrete system has been developed. The key idea of the procedure can be reduced to a correct choice of the sampling sequence. This freedom, owing to the arbitrary choice of the sampling instants, is used to improve the sensitivity of system controllability and observability, by exploiting an adequate geometric structure. Some qualitative examples are presented for illustrative purposes.