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- W4226063619 abstract "In the paper a method improving the closed-loop SISO system with the CRONE controller robustness due to the plant parameter changes is proposed. Among the closed-loop system stability the constant shape of transients is preserved (the maximum overshoot and the damping). The CRONE idea is about reshaping a frequency characteristic of an open-loop system to approximate the ideal fractional- real or complex order integrator. Zeros and poles should lie on the semi-straight lines with a vertex at the origin and symmetrical to the real axis. The plant with uncertain parameters is characterized by a set of Nyquist uncertainty. Every uncertainty area is characterized by an angle defined by two tangent semi-strait lines. The smaller the uncertainty angles, the better the CRONE robustness results are achieved. In the paper it is shown that the constant negative unity pre-feedback of the plant diminishes the uncertainty area angles. Then one evaluates the lower envelope of a set of uncertainty areas. Then, the CRONE controller synthesis comes down to the design such a transmittance that in a closed frequency interval it approximates the Nyquist plot of an ideal fractional-order integrator with assumed fractional order. The investigations are supported by numerical examples.KeywordsFractional calculusCRONE control" @default.
- W4226063619 created "2022-05-05" @default.
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- W4226063619 date "2022-01-01" @default.
- W4226063619 modified "2023-09-27" @default.
- W4226063619 title "CRONE Controller Synthesis Improvement by an Additional Feedback" @default.
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- W4226063619 doi "https://doi.org/10.1007/978-3-031-04383-3_28" @default.
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