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| Stabilization of an uncertain multiple-oscillator system |
| HuawenYe1,ChengkunLi1,XiantingQi1,JunLiu1 |
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| (1 School of Automation, Central South University, Changsha 410083, Hunan, China) |
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| 摘要: |
| For a multiple-oscillator system that is subject to the uncertain gains ranging within compact sets, this paper presents a constructive
stabilization design. Motivated by nested-saturation control methods, a nested controller that contains multiplicative
coefficients is directly designed, and these coefficients are then determined in the stability analysis. By skillfully making
transformations, elaborately constructing Lyapunov functions, and using an M-matrix principle, the stability analysis leads
to the explicit inequality condition that is expressed by directly using the system parameters. |
| 关键词: Stabilization · Uncertain multiple-oscillator systems · M-matrix principle |
| DOI：https://doi.org/10.1007/s11768-022-00104-z |
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| 基金项目: |
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| Stabilization of an uncertain multiple-oscillator system |
| Huawen Ye1,Chengkun Li1,Xianting Qi1,Jun Liu1 |
| (1 School of Automation, Central South University, Changsha 410083, Hunan, China) |
| Abstract: |
| For a multiple-oscillator system that is subject to the uncertain gains ranging within compact sets, this paper presents a constructive
stabilization design. Motivated by nested-saturation control methods, a nested controller that contains multiplicative
coefficients is directly designed, and these coefficients are then determined in the stability analysis. By skillfully making
transformations, elaborately constructing Lyapunov functions, and using an M-matrix principle, the stability analysis leads
to the explicit inequality condition that is expressed by directly using the system parameters. |
| Key words: Stabilization · Uncertain multiple-oscillator systems · M-matrix principle |
