Analytical design of PID controller cascaded with a lead-lag filter for time-delay processes

Shamsuzzoha, M.; Lee, Seung–Hyun; Lee, Moonyong

doi:10.1007/s11814-009-0104-z

Cited by 13 publications

(6 citation statements)

References 11 publications

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“…Shamsuzzoha and Lee reported an optimal IMC filter to ensure improved disturbance rejection and also suggested a guideline to choose the value for λ (closed loop time constant). Similar work is also reported in Shamsuzzoha et al where the filter structure is lead–lag in nature with second‐order lag part. Literature survey reveals that majority of the woks are targeted towards selecting the suitable value of λ (i.e., the sole tuning parameter of IMC controller) along with appropriate filter designing.…”

Section: Introductionsupporting

confidence: 84%

“…Rivera et al factorized the dead time element of the first‐order plus dead time (FOPDT) model using first‐order Pade's relation, almost similar treatment can also be found in the literature . Based on the literature survey, it is found that most of the reported works utilize first‐order Pade's approximation; however, 1/2‐ and 2/2‐order Pade's approximations are also reported. Chen and Seborg utilized Taylor series for approximating dead time to realize PID controller.…”

Section: Introductionmentioning

confidence: 85%

See 1 more Smart Citation

Designing of internal model control proportional, integral, and derivative controller with second‐order filtering for lag‐ and delay‐dominating processes based on suitable dead time approximation

Nath

Dey

Mudi

2019

Asia-Pacific J Chem Eng

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In practice, majority of the industrial chemical processes contain considerable dead time and significant process lag. Depending on the value of dead time to time constant ratio, industrial processes can be classified as lag dominating and delay dominating in nature. Here, an attempt has been made to find out an improved dead time estimation technique from the available methodologies like Taylor series and Pade's approximation relations so that a more accurate process model can be obtained and, consequently, an enhanced model‐based internal model control based proportional, integral, and derivative (IMC‐PID) controller may be designed. In addition, to ensure an improved closed loop performance, a second‐order filter is incorporated in IMC‐PID structure where damping term of the filter is calculated from dead time to time constant ratio of the concerned process. Efficacy of the proposed scheme is verified through simulation study on first‐order plus dead time, second‐order plus dead time, higher order, and nonminimum phase processes in comparison with recently reported model‐based PID settings. In addition to simulation study, a real‐time experimental verification is also made on a level control loop under transient and steady state operating phases.

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Section: Introductionsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 85%

Designing of internal model control proportional, integral, and derivative controller with second‐order filtering for lag‐ and delay‐dominating processes based on suitable dead time approximation

Nath

Dey

Mudi

2019

Asia-Pacific J Chem Eng

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“…First-order delayed integrating process (FODIP) can be handled as SOPDT process as (24) The above process can be approximated as…”

Section: First-order Delayed Integrating Processmentioning

confidence: 99%

“…A PID controller in series with a lead-lag compensator has been proposed by Shamsuzzoha et al [24] and Vu and Lee [25] for different types of processes. Although such kind of controller gives significant improvement in load disturbance rejection, it is less common in real practice to use PID controller with a lead-lag compensator.…”

Section: Introductionmentioning

confidence: 99%

A unified approach for proportional-integral-derivative controller design for time delay processes

Shamsuzzoha

2014

Korean J. Chem. Eng.

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An analytical design method for PI/PID controller tuning is proposed for several types of processes with time delay. A single tuning formula gives enhanced disturbance rejection performance. The design method is based on the IMC approach, which has a single tuning parameter to adjust the performance and robustness of the controller. A simple tuning formula gives consistently better performance as compared to several well-known methods at the same degree of robustness for stable and integrating process. The performance of the unstable process has been compared with other recently published methods which also show significant improvement in the proposed method. Furthermore, the robustness of the controller is investigated by inserting a perturbation uncertainty in all parameters simultaneously, again showing comparable results with other methods. An analysis has been performed for the uncertainty margin in the different process parameters for the robust controller design. It gives the guidelines of the M s setting for the PI controller design based on the process parameters uncertainty. For the selection of the closed-loop time constant, (τ c ), a guideline is provided over a broad range of θ/τ ratios on the basis of the peak of maximum uncertainty (M s ). A comparison of the IAE has been conducted for the wide range of θ/τ ratio for the first order time delay process. The proposed method shows minimum IAE in compared to SIMC, while Lee et al. shows poor disturbance rejection in the lag dominant process. In the simulation study, the controllers were tuned to have the same degree of robustness by measuring the M s , to obtain a reasonable comparison.

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“…Predominantly these tunings are based on ultimate cycle identification, various performance index minimizations, gain, phase and jitter margin specifications, magnitude optimum method, pole placement technique or IMC-like tuning (so-called Lambda tuning), which are particularly well suited for non-dominant delay processes, except for the IMC-like tuning, [8], and the dominant pole placement, [9]. The former tuning is suitable for dominant delay processes assuming safe pole-zero cancellation in the open loop [10], in [11] this cancellation is modified to systems with large time delay and in [12] the IMC-like PID with a second-order lead-lag filter compensates for the dominant plant poles and zeros. In [13] the Lambda tuning method is modified for integrating systems by the polynomial approach.…”

Section: Introductionmentioning

confidence: 99%

Filtered PID Control Loop for Third Order Plants With Delay: Dominant Pole Placement Approach

Fišer

Zı́tek

2021

IEEE Access

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The paper deals with tuning the filtered PID controller applied to third order plants with delay. This model option is chosen as a representative case where the loop characteristic quasi-polynomial is of higher order than three. Applying the similarity theory for introducing dimensionless parameterization a comparative model of third order plant dynamics is obtained. Four dominant polesfrom the infinite spectrum of the control loopare assigned by means of tuning three controller gains and a filter time constant where a specific argument increment criterion proves their dominance. The pole prescription coordinates are parameterized via damping, root and natural frequency ratios optimized in the space of the introduced similarity numbers according to the IAE criterion with respect to robustness and filtering constraints. Particularly the natural frequency ratio is a new parameter introduced to tune robustly the PID together with its filter. For the constrained IAE optimization the response of disturbance rejection is used as a representative of control loop behavior. In the space of similarity numbers of the plant it is shown that a limited range of plants is suited to be controlled on the PID control principle and the boundaries of this range are outlined. Survey maps of optimum controller parameters are presented and a comparative study on benchmark application example is added.

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Analytical design of PID controller cascaded with a lead-lag filter for time-delay processes

Cited by 13 publications

References 11 publications

Designing of internal model control proportional, integral, and derivative controller with second‐order filtering for lag‐ and delay‐dominating processes based on suitable dead time approximation

Designing of internal model control proportional, integral, and derivative controller with second‐order filtering for lag‐ and delay‐dominating processes based on suitable dead time approximation

A unified approach for proportional-integral-derivative controller design for time delay processes

Filtered PID Control Loop for Third Order Plants With Delay: Dominant Pole Placement Approach

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