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Stabilization of an uncertain multiple-oscillator system

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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.

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Authors and Affiliations

  1. School of Automation, Central South University, Changsha, 410083, Hunan, China

    Huawen Ye, Chengkun Li, Xianting Qi & Jun Liu

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  1. Huawen Ye
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  2. Chengkun Li
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  3. Xianting Qi
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  4. Jun Liu
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Correspondence to Huawen Ye.

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Ye, H., Li, C., Qi, X. et al. Stabilization of an uncertain multiple-oscillator system. Control Theory Technol. 20, 361–370 (2022). https://doi.org/10.1007/s11768-022-00104-z

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  • DOI: https://doi.org/10.1007/s11768-022-00104-z

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