Frequency-domain design of pid controllers for stable and unstable systems with time delay

Shafiei, Z.; Shenton, A.T.

doi:10.1016/s0005-1098(97)00148-9

Cited by 91 publications

(43 citation statements)

References 8 publications

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“…Some of the most popular methods are the Ziegler-Nichols tuning methods, the Cohen-Coon rules, the Åström-Hägglund method, the refined ZieglerNichols method, the internal model control (IMC) design approach, gain and phase margins based design and other method based on integral performance criteria. More recently, many important results have been reported on the computation of all stabilizing P, PI and PID controllers [7][8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Computation of stabilizing PI-PD controllers

Tan

2009

Int. J. Control Autom. Syst.

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The PI-PD controller structure provides an excellent four-parameter controller for control of integrating, unstable and resonant processes to set point changes while the conventional PID controller has limitations in controlling such systems. In this paper, a graphical method for the computation of all stabilizing PI-PD controllers is given. The proposed method is based on plotting the stability boundary locus, which is a locus dependent on the parameters of the controller and frequency, in the parameter plane. The stability boundary loci are first obtained in the ( , ) d f K K and ( , ) p i K K planes and thenit is shown that all the stabilizing values of the parameters of a PI-PD controller can be found. Computation of stabilizing PI-PD controllers which achieve user specified gain and phase margins is also studied. The method is used to design robust PI-PD controllers for control systems with parametric uncertainties. A design procedure for interval control systems is proposed. Examples are given to show the benefit of the method presented.

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Section: Introductionmentioning

confidence: 99%

Computation of stabilizing PI-PD controllers

Tan

2009

Int. J. Control Autom. Syst.

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“…A parameter space approach using the singular frequency concept has been given in [14] for design of robust PID controllers. More direct graphical approaches based on frequency response plot have been given in [15,16]. On the other hand, controller design for the systems containing uncertainties has been studied in [17,18].…”

Section: Introductionmentioning

confidence: 99%

Stabilization using fractional-order PI and PID controllers

2007

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This paper presents a solution to the problem of stabilizing a given fractional dynamic system using fractional-order PI λ and PI λ D μ controllers. It is based on plotting the global stability region in the (k p , k i )-plane for the PI λ controller and in the (k p , k i , k d )-space for the PI λ D μ controller. Analytical expressions are derived for the purpose of describing the stability domain boundaries which are described by real root boundary, infinite root boundary and complex root boundary. Thus, the complete set of stabilizing parameters of the fractional-order controller is obtained. The algorithm has a simple and reliable result which is illustrated by several examples, and hence is practically useful in the analysis and design of fractional-order control systems.

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“…In Fig. 1 (d), the controller structure, referred to as the type II of the modified PID controller, is used to improve the regulating performance and the tracking performance [6,12,17].…”

Section: Introductionmentioning

confidence: 99%

“…A general n-th order rational transfer function without time delay [17]; 2. A stable first or second-order transfer function plus time delay [15]; 3.…”

Section: Introductionmentioning

confidence: 99%

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Pid And Pid‐Like Controller Design By Pole Assignment Within D‐Stable Regions

Wang

Schinkel

Schmitt-Hartmann

et al. 2002

Asian Journal of Control

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This paper presents a new PID and PID-like controller design method that permits the designer to control the desired dynamic performance of a closed-loop system by first specifying a set of desired D-stable regions in the complex plane and then running a numerical optimisation algorithm to find the controller parameters such that all the roots of the closed-loop system are within the specified regions. This method can be used for stable and unstable plants with high order degree, for plants with time delay, for controller with more than three design parameters, and for various controller configurations. It also allows a unified treatment of the controller design for both continuous and discrete systems. Examples and comparative simulation results are provided to illustrate its merit.

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Frequency-domain design of pid controllers for stable and unstable systems with time delay

Cited by 91 publications

References 8 publications

Computation of stabilizing PI-PD controllers

Computation of stabilizing PI-PD controllers

Stabilization using fractional-order PI and PID controllers

Pid And Pid‐Like Controller Design By Pole Assignment Within D‐Stable Regions

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