abstract

• In this study, we investigate the stabilization of general linear second-order non-minimum phase time-delay systems using PI controllers. Our primary objective is to determine optimal control gains, if any, such that the spectral abscissa of the system is shifted as far left as possible, ensuring enhanced stability. To achieve this, we employ a comprehensive geometrical analysis, providing a methodology to tune the control gains that yield the desired decay rate. The presented approach not only contributes theoretical insights but also facilitates practical implementation. The effectiveness of the proposed methodology is demonstrated through numerical examples. © 2024 IEEE.

authors

• Méndez Barrios César Fernando Francisco
• Torres-García D.

publication date

• 2024-01-01

published in

• 10th 2024 International Conference on Control, Decision and Information Technologies, CoDIT 2024  Proceedings

keywords

• frequency-domain; non-minimum phase; PI control; time-delay Delay control systems; Optimal control systems; Proportional control systems; Three term control systems; Two term control systems; Frequency domains; Non-minimum phase; Non-minimum phase systems; PI control; PI Controller; Primary objective; Second orders; Systems with time delay; Time-delay systems; Time-delays; Frequency domain analysis

Digital Object Identifier (DOI)

• 10.1109/CoDIT62066.2024.10708216

PubMed ID

start page

• 1358

end page

• 1363

volume

issue