Abstract
For reliably analyzing the properties of strong observability and strong detectability of a system, continuous distance measures can be used. When calculating these measures, it is necessary to find the global minimum of a nonconvex target function. The main contribution of this article is an optimization algorithm that guarantees to find this global minimum in a fast and efficient way by exploiting the special structure of the optimization problem. Using this optimization algorithm, the distance measures can be reliably calculated. The numerical properties and the usefulness of the algorithm in practical applications are illustrated by means of a numerical example.
| Original language | English |
|---|---|
| Pages (from-to) | 478-485 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 68 |
| Issue number | 1 |
| Early online date | 11 Jan 2022 |
| DOIs | |
| Publication status | Published - 1 Jan 2023 |
Keywords
- Optimization algorithms
- Observability measures
- Linear systems
- Mechatronics
- Upper bound
- Controllability
- Eigenvalues and eigenfunctions
- Filtering theory
- Observability
- Optimization
- Standards
- optimization algorithms
- observability measures
- mechatronics
ASJC Scopus subject areas
- Electrical and Electronic Engineering
- Control and Systems Engineering
- Computer Science Applications