International Journal of Control, Automation, and Systems 2023; 21(9): 2950-2956
https://doi.org/10.1007/s12555-021-0515-0
© The International Journal of Control, Automation, and Systems
This paper investigates the stabilization problem of linear delay systems with two unstable poles, by using a modified proportional-integral (PI) controller. A necessary and sufficient condition for stabilizability is obtained, and the relationship between the system parameters and the time delay size is established. Furthermore, a tighter upper bound of the delay margin for the linear system with two unstable poles is provided. Finally, the effectiveness of the results is demonstrated by a simulation study.
Keywords Delay margin, modified PI controller, stabilization, time delay, unstable system.
International Journal of Control, Automation, and Systems 2023; 21(9): 2950-2956
Published online September 1, 2023 https://doi.org/10.1007/s12555-021-0515-0
Copyright © The International Journal of Control, Automation, and Systems.
Peijun Ju*, Tongxing Li, Jing Lei, and Zhongjin Guo
Taishan University
This paper investigates the stabilization problem of linear delay systems with two unstable poles, by using a modified proportional-integral (PI) controller. A necessary and sufficient condition for stabilizability is obtained, and the relationship between the system parameters and the time delay size is established. Furthermore, a tighter upper bound of the delay margin for the linear system with two unstable poles is provided. Finally, the effectiveness of the results is demonstrated by a simulation study.
Keywords: Delay margin, modified PI controller, stabilization, time delay, unstable system.
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