Limit Cycles of Controlled Switched Systems: Existence, Stability, Sensitivity

3rd International Workshop on New Computational Methods for Inverse Problems

物理学;计算机科学

Fribourg, L.^1 ; Soulat, R.^1

LSV-ENS Cachan, CNRS, France^1

关键词: A-stable;    Boost DC-DC converter;    Control methods;    Inverse approach;    Limit-cycle;    Physical parameters;    Small perturbations;    Switched system;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/464/1/012007/pdf
DOI  :  10.1088/1742-6596/464/1/012007

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

We present a control method which makes the trajectories of a switched system converge to a stable limit cycle lying in a desired region of equilibrium. The method is illustrated on the boost DC-DC converter example. We also point out in this example the sensitivity of limit cycles to parameter variations by showing how the limit cycle evolves in presence of small perturbations of some system parameters. This suggests that limit cycles are good candidates for reliable estimations of the physical parameters of switched systems using an appropriate inverse approach.