A Simple Method of Tuning PI Controller for Integrator Dead/Time Processes

Gerov, Radmila; Jovanović, Zoran

doi:10.1109/sisy.2018.8524860

Cited by 3 publications

(6 citation statements)

References 9 publications

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“…where A and A d are the constant matrices assuming the dimensions 2x2, S k is the complex solution matrix (13) of the same dimensions, k is the ordinal number of the branch of the Lambert W function, [11]- [12], [15]- [16] and 00 01 ,. 00…”

Section: Fig 2 Conventional 1-dof Controller Control Systemmentioning

confidence: 99%

“…The gain parameters of the PD controller could be received, alongside the alreadymentioned way, based on the received gain of the PI controller for the IPTD processes [11]- [12]. In order to make an analogy between 1-DOF PD controller system for DIPTD processes and 1-DOF PI controller system for IPTD processes, let us assume that the control system shown in Fig.…”

Section: Fig 2 Conventional 1-dof Controller Control Systemmentioning

confidence: 99%

“…In that case, the characteristic equations of both systems are identical, which means that the received parameters of the PI controller for IPTD processes from [11] and [12] could be applied under the condition (23) for obtaining the PD controller for DIPTD processes which has the equal gain and time delay to the one at IPTD process.…”

Section: Fig 2 Conventional 1-dof Controller Control Systemmentioning

confidence: 99%

“…The generic form for finding the parameters of the PD controller functioning as desired poles [11] For the desired, so called, aggressive tuning [12], with the poles of the closed loop systems selected by using 1/ 2 0.5 0.5 . j…”

Section: Fig 2 Conventional 1-dof Controller Control Systemmentioning

confidence: 99%

“…In this paper, a PD controller for the DIPTD systems is designed according to the existing Proportional-integral (PI) controller for IPTD processes [11]- [12]. It is well known that the application of the PD controller with DIPTD processes, in case of disturbance, yields the off-set of the output signal.…”

Section: Introductionmentioning

confidence: 99%

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Tuning Pd and Pid Controllers via the Lambert W Function for Double Integrator Plus Dead Time Processes

Gerov

Jovanović

2019

FU Aut Cont Rob

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The paper explores the Proportional-derivative controller for a double integrator plus dead time processes, which is a challenging control problem, that is designed based on the existing Proportional-integrative controller for integrator plus dead time processes. The PD controller is extended with an integral action and an ideal PID controller is received. The parameters of both controllers are received by using the pole placement technique, whereby the transcendent characteristics equation of the closed loop system is solved by using the Lambert W function. The paper also examines the influence of the desired poles of the system with a closed feedback as well as the influence of the disturbance and the change of the DIPTD processes parameters onto the received control system performances. The results received by simulation, and the quantitative indicators, show that the proposed control system has better performances in comparison to the control systems obtained by other methods in literature.

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