Series PID Control With Higher-Order Derivatives for Processes Approximated by IPDT Models

Huba, Mikuláš; Vrančić, Damir; Bisták, Pavol

doi:10.1109/tase.2023.3296201

Cited by 9 publications

(31 citation statements)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The similar achievement is also envisaged under the effect of load disturbances [2]. To achieve such performance, a proper controller designed technique [3][4][5][6][7][8][9][10] in a suitable structure is required. Many authors [11][12][13] have proposed techniques to obtained the desired performance for NCSTR by considering the various dynamical models in single loop configuration.…”

Section: Introductionmentioning

confidence: 90%

Design of Parallel Cascade Controller for Nonlinear Continuous Stirred Tank Reactor

Siddiqui

2024

Preprint

View full text Add to dashboard Cite

This work presents an approach to control the temperature of a nonlinear continuous stirred tank reactor (NCSTR) through parallel cascade control structure (PCCS). For the first time, PCCS is used to control the temperature of NCSTR by (1) modelling the dynamic behavior of CSTR with a recirculating jacket heat transfer system into a third order unstable transfer function and (2) using the model matching technique to synthesize the controller parameters. The controller of the secondary loop of PCCS is designed to achieve enhanced regulatory performance whereas, the primary loop controller is designed for better setpoint tracking. The closed loop performance of the proposed method is evaluated by carrying out simulation on the differential equation of the NCSTR and comparing it with other structures such as series cascade control structure (CCS) and parallel control structure (PCS). The response shows that the proposed method provides satisfactory performance in both the environment nominal, perturbed and noisy conditions.

show abstract

Section: Introductionmentioning

confidence: 90%

Design of Parallel Cascade Controller for Nonlinear Continuous Stirred Tank Reactor

Siddiqui

2024

Preprint

View full text Add to dashboard Cite

show abstract

“…with a positive feedback from the limited controller output F R are considered in the study. This represents a special case of HO-ARC, which was considered in [17] for m ∈ Z + , m ∈ [0, 5]. The separate treatment of even and odd values of m in the constrained control case is based on the requirement to achieve conditions for absolute stability by factorizing the zeros of the controller transfer function derived using the multiple real dominant pole (MRDP) method (see, e.g., [18], which deals with the case m = 2, and [24], which presents a particular solution for m = 4).…”

Section: Definition 2 (Ho-ar Controller) the Pd Mmentioning

confidence: 99%

“…The implementation of the derivatives requires the inclusion of low-pass filters. In contrast to works that specify the necessary filter for each derivative [26], both HO-PID [25] and HO-AR [17] controllers use a much more efficient design of a single nth-order binomial filter…”

Section: Definition 2 (Ho-ar Controller) the Pd Mmentioning

confidence: 99%

“…the tuning of the PID m n and PD m n R controllers on the basis of MRDP has been considered in [17,25]. For a nominal tuning, in which the indices "p" can be omitted, the closed control loop with (7) and ( 9) yields…”

Section: Mrdp Design Of Ho-arcs For Ipdt Modelmentioning

confidence: 99%

“…Several recently published papers (see, e.g., [17,18]) have shown that the essential idea of these historical and still-existing in industry automatic reset controllers (ARCs) is the use of a positive feedback from the controller output (see Figure 1). The problem is that the implementation has been neglected for a long time.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Practice-Oriented Controller Design for an Inverse-Response Process: Heuristic Optimization versus Model-Based Approach

Bistak,

Huba,

Vrancic

2024

Applied Sciences

Self Cite

View full text Add to dashboard Cite

The proposed practice-oriented controller design (POCD) aims at stabilizing the system, reconstructing and compensating for disturbances while achieving fast and smooth step responses. This is achieved through a simple approach to process identification and controller tuning that takes into account control signal constraints and measurement noise. The proposed method utilizes POCD by eliminating the influence of the unstable zero dynamics of the inverse-response processes, which limits the achievable performance. It extends the previous work on PI and PID controllers to higher-order (HO) automatic reset controllers (ARCs) with low-pass filters. It is also extended according to POCD requirements while maintaining the simplified process model. The final result is an extremely simple design for a constrained controller that provides sufficiently smooth and robust responses to a wide family of HO-ARCs with odd derivatives, designed using integral plus dead time (IPDT) models and tuned by the multiple real dominant pole method (MRDP) and the circle criterion of absolute stability. The proposed design can be considered as a generalization of the Ziegler and Nichols step response method for inverse response processes and HO-ARCs.

show abstract

Practice-oriented controller design of a simple nonlinear system

Huba,

Bistak,

Ťapák

et al. 2024

IFAC-PapersOnLine

View full text Add to dashboard Cite

Series PID Control With Higher-Order Derivatives for Processes Approximated by IPDT Models

Cited by 9 publications

References 64 publications

Design of Parallel Cascade Controller for Nonlinear Continuous Stirred Tank Reactor

Design of Parallel Cascade Controller for Nonlinear Continuous Stirred Tank Reactor

Practice-Oriented Controller Design for an Inverse-Response Process: Heuristic Optimization versus Model-Based Approach

Practice-oriented controller design of a simple nonlinear system

Contact Info

Product

Resources

About