A theoretical examination of closed-loop properties and tuning methods of single-loop PI controllers

Hwang, Shyh Hong; Chang, Hai‐Chou

doi:10.1016/0009-2509(87)80113-6

Cited by 30 publications

(13 citation statements)

References 17 publications

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“…THREE-POLE PLACEMENT TO SET A PID CONTROL LOOP WITH TIME DELAY The idea of dominant pole placement itself was introduced by Hwang and Chang [1]. They documented that the closed loop response is primarily dominated in most PID control systems by a trio of poles: a complex conjugate pair and a real pole.…”

Section: Ultimate Frequency Assessmentmentioning

confidence: 99%

“…Consider a stable time delay plant as in (2) and assume that by means of a PID controller setting such a pole placement of 1,2,3 p prescribed as in (1) has been achieved that none of the other poles substantially influence the control loop response. On this assumption of a perfect dominance of 1,2,3 p the disturbance rejection step response of the PID control loop on (2) may be preliminarily considered in the following threeterm reference form…”

Section: Selecting the Candidate Trio Of Dominant Polesmentioning

confidence: 99%

“…In order really to achieve a dominant positions of the poles to be placed the prescribed values of 1,2,3 p are to be selected with a careful respect to the specific dynamic properties of the plant controlled. As Åstrőm and Hägglund [3] revealed particularly the ultimate frequency k ω of the control loop has to be taken into account.…”

Section: Selecting the Candidate Trio Of Dominant Polesmentioning

confidence: 99%

“…Because of the number of threecontroller parameters, only the three-pole 1,2,3 p option can reasonably be prescribed in applying the pole assignment to tuning the PID controller for a time delay plant. Besides, in a considerable number of papers, the dominant pole placement in PID tuning has also been considered for a single pair of complex conjugate poles 1,2 p j α = − ± Ω , 0 α > , assigned to take up the rightmost position in the system spectrum and satisfying an additional requirement of the frequency response specification of control synthesis [7], [8]. The case of placing three prescribed poles, a complex conjugate pair 1,2 p and a real pole 3 p β = − , as dominant was solved by Hwang and Fang [4].…”

Section: Introductionmentioning

confidence: 99%

“…The dependence of the dominant pair of closed-loop poles on the controller parameters was first investigated by Hwang and Chang [1] by means of the Taylor series expansion about the critical gain. Instead of dominant, the term "leading poles" was used in that paper.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Dominant three pole placement in PID control loop with delay

Zı́tek

Fišer

Vyhlídal

2013

2013 9th Asian Control Conference (ASCC)

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In applying the pole assignment to tuning the PID controllers the usual presence of delay in the control loop brings about an infinite order character of the system dynamics, i.e. an infinite spectrum of poles. Therefore any pole placement can result in the desired tuning of the control loop only if the prescribed and placed poles really become the dominant poles of the control loop dynamics. With respect to three parameters of PID controller just three poles can be placed by the assignment and a dominance guarantee of their prescription is crucial in this way of tuning. A novel method of selecting a trio of numbers with an equal real part to make them the dominant poles of the control loop is dealt with in the paper with an additional minimizing the absolute error integral. An original assessment is introduced to check the dominance of the pole placement and an optimum of relative damping of the response is assessed to minimize the control error integral. The quality of the disturbance rejection response is taken as the decisive criterion in the presented design of the time delay plant control.Keywords -system dominant pole placement;PID controller tuning; ultimate frequency; absolute error integral criterion

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Section: Ultimate Frequency Assessmentmentioning

confidence: 99%

Section: Selecting the Candidate Trio Of Dominant Polesmentioning

confidence: 99%

Section: Selecting the Candidate Trio Of Dominant Polesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dominant three pole placement in PID control loop with delay

Zı́tek

Fišer

Vyhlídal

2013

2013 9th Asian Control Conference (ASCC)

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LMI‐Based Robust PID Controller Design for Voltage Control of Islanded Microgrid

Armin

Roy

Sarkar

et al. 2018

Asian Journal of Control

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This paper presents the design of a robust proportional integral derivative (PID) controller for the control of a single phase microgrid voltage. A microgrid consists of loads, distributed generation units and several power‐electronics interfaced LC filter and voltage source inverter. These loads are unknown and parameters are uncertain which produce unmodeled load dynamics. This unmodeled load dynamics reduces the voltage tracking performance of the microgrid. The proposed controller gives the robustness of the system with unmodeled load dynamics. Under different kinds of uncertainties, PID controller guarantees the stability and provides zero steady‐state error and fast transient response. The robustness and optimal performance of the controller is obtained by using linear matrix inequality approach. The performance of the controller under different uncertainties is studied. Results indicate the robustness and high voltage tracking performance of the microgrid system.

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Combined Sensitivity–Complementary Sensitivity Min–Max Approach for Load Disturbance–Setpoint Trade-off Design

Vilanova

Arrieta

2008

Lecture Notes in Electrical Engineering

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A theoretical examination of closed-loop properties and tuning methods of single-loop PI controllers

Cited by 30 publications

References 17 publications

Dominant three pole placement in PID control loop with delay

Dominant three pole placement in PID control loop with delay

LMI‐Based Robust PID Controller Design for Voltage Control of Islanded Microgrid

Combined Sensitivity–Complementary Sensitivity Min–Max Approach for Load Disturbance–Setpoint Trade-off Design

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