Digital PI-PD controller design for arbitrary order systems: Dominant pole placement approach

Dincel, Emre; Söylemez, Mehmet Turan

doi:10.1016/j.isatra.2018.04.009

Cited by 24 publications

(18 citation statements)

References 24 publications

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“…One can find recent literature in which new tuning methods, developed by Waller and Nygardas (WN) [13] and Chien, Chung, Chen, and Chuang (CCCC) [17] for inverse response systems, are compared to traditional methods; see for instance [60,61]. Additionally, one can find several works that compare the performance with one of the most traditional tuning methods developed by Ziegler and Nichols (ZN) [14] during the 1940s, see for instance [62][63][64] where %TO: percentage of transmitter output, %CO: percentage of controller output, UT: units of time. A central composite experimental design, as explained in the scaling section, was implemented in order to select a set of parameters of the process' transfer function to test the performance and robustness of the closed-loop, for each controller, over a wide range of values.…”

Section: Discussion On Performance Analysismentioning

confidence: 99%

PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

et al. 2020

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This work addresses a set of tuning rules for PID controllers based on Internal Model Control (IMC) for inverse-response second-order systems with dead time. The transfer function, and some time-response characteristics for such systems are first described. Then, the IMC-based methodology is developed by using an optimization objective function that mixes performance and robustness. A correlation that minimizes the objective function and that allows the user to compute the controller’s tuning parameter is found. The obtained expressions are mathematically simple, which facilitate their application in a ten-step systematic methodology. Finally, the proposed tuning method is compared to other well-known tuning rules that have been reported in literature, for a wide range of parameters of the process. The performance achieved with the proposed method is very good not only for disturbance rejection but for set-point tracking, when considering a wide-range of parameters of the process’ transfer function.

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Section: Discussion On Performance Analysismentioning

confidence: 99%

PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

et al. 2020

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“…In more general case, the first-order and second-order process models can cover wide range of processes, see Skogestad and Postlethwaite (2007) for more details. Moreover, most of the process plants are often represented by these low-order models, and it is widely used as it retains important dynamics of the processes; refer, for example, Dincel and Söylemez (2018), Grimholt and Skogestad (2018), Sánchez et al (2020) and Wu et al (2020). Therefore, this article considers the design scheme for such models.…”

Section: Problem Statementmentioning

confidence: 99%

Robustly stabilizing proportional integral controller for uncertain system under computational delay

Saxena

Hote

2020

Journal of Vibration and Control

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In a feedback control loop, when there exists a delay in processing the control signal (often called computational delay), it is difficult to stabilize the system, particularly when the system exhibits uncertainty. To solve this problem, we proposed a new robust proportional integral control strategy for a class of uncertain systems exhibiting parametric uncertainty. A two-stage scheme is proposed in which the first stage identifies the worst plant that has the highest chance of facing instability; and in the second stage, based on the worst plant, the tuning parameters of the proportional integral controller are determined using the stability boundary locus approach under the desired closed-loop specifications of gain and phase margins. The efficiency of the proposed scheme is verified for servo and regulatory control problems.

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“…After the design, the controller zeros can appear in the dominant region or even in the instability region in the conventional PIR controller; however, the proportional–integral proportional–retarded (PI-PR) controller structure (similar to proportional–integral proportional–derivative (PI-PD)) proposed in this paper ensures to place the controller zero arbitrarily. Thus, the CLS transient response is not affected much (De Keyser et al, 2016; Dincel and Söylemez, 2018; Onat, 2019; Peker and Kaya, 2017; Peram et al, 2018; Singh and Padhy, 2018).…”

Section: Introductionmentioning

confidence: 99%

Design of decentralized proportional–integral proportional–retarded controllers in discrete-time domain for two-input two-output processes

Mammadov

Dincel

Söylemez

2022

Transactions of the Institute of Measurement and Control

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In this paper, a decentralized proportional–integral proportional–retarded (PI-PR) controller design method is proposed for two-input two-output (TITO) systems in discrete-time domain. The well-known dominant pole assignment (DPA) approach is used as the basis of the proposed approach. The controller design starts with the decoupling of a given TITO system into two sub-systems and continues with the design of proportional–integral–retarded (PIR) controllers for each sub-system, respectively. The feasible discrete PIR controller parameter set is obtained through the Nyquist stability criterion by considering the desired closed-loop performance specifications. The obtained PIR controllers are then implemented using a PI-PR control structure to avoid poor performance of the closed-loop system (CLS) transient response, which can be caused by the controller zeros. Moreover, a case study is presented to show the performance of the PI-PR controller in a simulation environment. It is shown that the proposed control structure provides a satisfactory performance when compared with the other proportional–integral–derivative (PID) control methods from the literature.

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Digital PI-PD controller design for arbitrary order systems: Dominant pole placement approach

Cited by 24 publications

References 24 publications

PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

PID Tuning Method Based on IMC for Inverse-Response Second-Order Plus Dead Time Processes

Robustly stabilizing proportional integral controller for uncertain system under computational delay

Design of decentralized proportional–integral proportional–retarded controllers in discrete-time domain for two-input two-output processes

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