Characterisation of observability and controllability for nonuniformly sampled discrete systems
Amparo F\'uster-Sabater, J.M. Guill\'en
TL;DR
This paper develops a method to analyze and improve the observability and controllability of nonuniformly sampled discrete systems by optimally choosing sampling instants to enhance system properties.
Contribution
It introduces a joint characterization approach that leverages the freedom in sampling instants to optimize system observability and controllability.
Findings
Sampling sequence choice affects system properties.
Optimal sampling improves observability and controllability.
Qualitative examples demonstrate the method's effectiveness.
Abstract
A joint characterisation of the observability and controllability 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 observability and controllability, by exploiting an adequate geometric structure. Some qualitative examples are presented for illustrative purposes.
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Taxonomy
TopicsTarget Tracking and Data Fusion in Sensor Networks · Advanced Control Systems Optimization · Control Systems and Identification