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PI Controllers for an Elastic Two-Mass System. Optimization and Systems Theory

机译：弹性双质量系统的pI控制器。优化与系统理论

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摘要

A variety of practical engineering systems can be modeled as two-mass systems. Inindustry applications these are usually controlled by Proportional Integral controllers, the empiric tuning rule being 'higher gains-better performance' when a time integral performance criterium is optimized and a linear plant model used. Here we are shown how this rule obviously falls and that on the contrary a more accurate analysis gives limit values for the proportional and integral gains, that can be expressed as a function of the plant parameters. Moreover, it is shown that time integral performance criteria could be used in a PI controller tuning taking the nonlinearities into account. The resulting gains fit into the established bounds. Performance and robustness of the resulting controllers are demonstrated on a industrial interesting example.

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