New optimal settings of PI and PID controllers for the first-order inertia and dead time plant

Łaskawski, M.; Wciślik, M.

doi:10.1109/epe.2017.7967340

Cited by 2 publications

(3 citation statements)

References 2 publications

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“…Note that the following deductions based on the regular variables are carried out. To simplify the analysis, the deductions with time scaling and dimensionless variables, as used in [41], are also given in Appendix B.…”

Section: Stability Regions Based On the Relative Delay Marginmentioning

confidence: 99%

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A New PID Controller Design with Constraints on Relative Delay Margin for First-Order Plus Dead-Time Systems

Xue

2019

Processes

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The maximum sensitivity function as the conventional robustness index is often used to test the robustness and cannot be used to tune the controller parameters directly. To reduce analytical difficulties in dealing with the maximum sensitivity function and improve the control performance of the proportional-integral-derivative controller, the relative delay margin as a good alternative is proposed to offer a simple robust analysis for the proportional-integral-derivative controller and the first-order plus dead-time systems. The relationship between the parameters of the proportional-integral-derivative controller and the new pair, e.g., the phase margin and the corresponding gain crossover frequency, is derived. Based on this work, the stability regions of the proportional-integral-derivative controller parameters, the proportional gain and the integral gain with a given derivative gain, are obtained in a simple way. The tuning of the proportional-integral-derivative controller with constraints on the relative delay margin is simplified into an optimal disturbance rejection problem and the tuning procedure is summarized. For convenience, the recommended parameters are also offered. Simulation results demonstrate that the proposed methodology has better tracking and disturbance rejection performance than other comparative design methodologies of the proportional-integral/proportional-integral-derivative controller. For example, the integrated absolute errors of the proposed proportional-integral-derivative controller for the tracking performance and disturbance rejection performance are less than 91.3% and 91.7% of the integrated absolute errors of other comparative controllers in Example 3, respectively. The proposed methodology shows great potential in industrial applications. Besides, the proposed method can be applied to the design of the proportional-integral-derivative controller with filtered derivative which is recommended for practical applications to weaken the adverse influence of the high-frequency measurement noise.

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Section: Stability Regions Based On the Relative Delay Marginmentioning

confidence: 99%

“…In this part, the deductions about the stability regions with time scaling and dimensionless variables, as used in [41], are given.…”

Section: K Dmentioning

confidence: 99%

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A New PID Controller Design with Constraints on Relative Delay Margin for First-Order Plus Dead-Time Systems

Xue

2019

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The tuning method of continuous controllers for controlled systems approximated by Nth-order inertial models with delay

Łaskawski

2018

2018 19th International Scientific Conference on Electric Power Engineering (EPE)

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New optimal settings of PI and PID controllers for the first-order inertia and dead time plant

Cited by 2 publications

References 2 publications

A New PID Controller Design with Constraints on Relative Delay Margin for First-Order Plus Dead-Time Systems

A New PID Controller Design with Constraints on Relative Delay Margin for First-Order Plus Dead-Time Systems

The tuning method of continuous controllers for controlled systems approximated by Nth-order inertial models with delay

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