Simple Analytic Proportional-Integral-Derivative (PID) Controller Tuning Rules for Unstable Processes

Cho, Wonhui; Lee, Jietae; Edgar, Thomas F.

doi:10.1021/ie401018g

Cited by 50 publications

(16 citation statements)

References 16 publications

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“…It requires a set point filter of F R ( s ) = (λ s + 1)/(β s + 1) to reduce overshoot for step set-point changes. 29 The design parameter, λ is set to 3θ.…”

Section: Identification and Tuning Methodsmentioning

confidence: 99%

Full Closed-Loop Tests for the Relay Feedback Autotuning of Stable, Integrating, and Unstable Processes

et al. 2019

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The relay (on–off) controller can stabilize wide ranges of processes including open-loop stable, integrating, and unstable processes, producing sustained oscillations. For improved proportional-integral-derivative controller tunings, methods to find process models with mixed closed-loop tests of relay feedback and proportional-derivative (PD) controllers are proposed. For unknown processes with arbitrary initial states, relay feedback tests are first applied and, after cyclic steady states are obtained, PD controllers or other relay feedback tests with set point changes are followed. This full closed-loop operation is desirable for integrating and unstable processes and will be useful even for stable processes when processes are far from their desirable operating points. Refined methods to find exact frequency responses of processes from initial and final cyclic steady states are derived. Whole relay feedback responses need not be saved. Several integrals at the relay switching times are used without iterative tests or computations.

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“…It requires a set point filter of F R ( s ) = (λ s + 1)/(β s + 1) to reduce overshoot for step set-point changes. 29 The design parameter, λ is set to 3θ.…”

Section: Identification and Tuning Methodsmentioning

confidence: 99%

Full Closed-Loop Tests for the Relay Feedback Autotuning of Stable, Integrating, and Unstable Processes

et al. 2019

Self Cite

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“…Some of the developed methods mainly concerned only on the system performance, such minimizing integrated error criteria as developed by Murrill et al (1967) [11] or Rovira et al (1969) [12], or the more recent work by Awouda and Mamat (2010) [13]. There are also tuning methods concidered the unstable FOPDT process, ranging from relatively simple analytic tuning formula [14], to more complex techniques algorithm [15]. A drawback of those tuning rules is that such rules do not consider load disturbance, model uncertainty, and measurement noise, since tuning for high performance is always accompanied by low robustness.…”

Section: Robust Pid Control Designmentioning

confidence: 99%

Robust PID Control Design in CPS-based Batch Distillation Column

Ayu¹,

Rusmin²,

Hidayat³

2019

EECSI

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Interconnected system between computation and physical process (Cyber-Physical Systems) has been widely used in industrial processes. In CPS-based industrial process, sensors, controllers, and actuators are connected into a communication network. The communication network may introduce delay time uncertainties due to shared resources and load traffic in the network. Furthermore, the nonlinear timevarying characteristic of batch distillation column may causes another uncertainties to take into account in control system design. Parameter model and delay process uncertainty is introduced due to linearized system approximation that unmodeled high-frequency dynamics. The dynamic uncertainty on both I/O channel are also introduced to the system uncertainty. In this paper, robust PI and PID controller using AMIGO method with appropriate weighting function is designed to guarantee robust stability spesification of batch distillation column. The impact of system uncertainties to closed-loop system performances such as peak overshoot and integral error is investigated. MATLAB/Simulink simulation is used to validate the methods before its implementation in CPS-based batch distillation column. Based on simulation, the proposed robust PI/PID controller can guarantee robust stability of system compared to conventional PID controller. Furthermore, the robust PI/PID controller can improve closedloop system performances compared to conventional PID.

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“…Another relevant research line is the set of tuning rules that proposes a tradeoff between performance and robustness, or between servo and regulation modes [11,18]. There are also tuning rules specifically developed for unstable FOPTD processes, ranging from relatively simple analytic tuning formulae [19] to more complex techniques using evolutionary or heuristic algorithms [20,21]. Nevertheless, as mentioned before, a great majority of tuning rules is based on FOPTD models [7,22], and there are extensions to other structures, such as the second order plus dead time (SOPDT), the integrator plus dead time (IPDT), and the first order and integrator plus dead time (FOIDT).…”

Section: Literature Surveymentioning

confidence: 99%

Interactive Tuning Tool of Proportional-Integral Controllers for First Order Plus Time Delay Processes

et al. 2018

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Engineering education and, particularly, control engineering, has shown growth in research and development activities during last years. Currently, proportional–integral (PI) and proportional–integral–derivative (PID) controllers are the most commonly used in industrial process applications. Nonetheless, it is reported that many of them are badly tuned. From an educational perspective, it is crucial for the student to understand the importance of tuning a control loop correctly. This paper presents an interactive tool focused on the study of PI controllers. The tool provides a set of tuning rules for both open-loop stable and unstable first order plus time delay processes. The different tuning rules can be compared interactively by the user, allowing a critical analysis of basic concepts about stability, robustness, and performance in PI control loops. In addition to educational purposes, the tool has been developed, taking into account practical considerations, such as simulation with a controller discrete implementation, process input saturations, and windup effect. We evaluated students’ achievement in the final examination in the Automatic Control course of the Electronics Engineering degree. Students showed significant improvement in their understanding of PI controller design. A survey and a practical case study were performed to evaluate the effectiveness of the proposed tool.

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Simple Analytic Proportional-Integral-Derivative (PID) Controller Tuning Rules for Unstable Processes

Cited by 50 publications

References 16 publications

Full Closed-Loop Tests for the Relay Feedback Autotuning of Stable, Integrating, and Unstable Processes

Full Closed-Loop Tests for the Relay Feedback Autotuning of Stable, Integrating, and Unstable Processes

Robust PID Control Design in CPS-based Batch Distillation Column

Interactive Tuning Tool of Proportional-Integral Controllers for First Order Plus Time Delay Processes

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