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Set point weighted pi/pid controllers

CHEMICAL ENGINEERING COMMUNICATIONS 2000年第1期179卷 1-13页

作者： Chidambaram, M Indian Inst Technol Dept Chem Engn Madras 600036 Tamil Nadu India

A systematic method is given for selection of the set point weighting parameter (b) in the pi/pid controller for stable first order plus time delay systems. The parameter b is selected to minimize the over shoot for a servo problem. The responses of the pid controllers, designed by Ziegler-Nichols method or by pole placement method, without and with the set point weighting are compared. The present method significantly reduces the overshoot.

关键词： pi/pid controllers set point weighting delay system Ziegler-Nichols method pole placement

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Stabilizing Sets of pi/pid controllers for Unstable Second Order Delay System

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International Journal of Automation and computing 2014年第2期11卷 210-222页

作者： Rihem Farkh Kaouther Laabidi Mekki Ksouri Laboratory for Analysis Conception and Control of SystemsLR-11-ES20Department of Electrical EngineeringNational Engineering School of TunisTunis El Manar University

In this paper, the problem of stabilizing an unstable second order delay system using classical proportional-integralderivative(pid) controller is considered. An extension of the Hermite-Biehler theorem, which is applicable to quasi-polynomials, is used to seek the set of complete stabilizing proportional-integral/proportional-integral-derivative(pi/pid) parameters. The range of admissible proportional gains is determined in closed form. For each proportional gain, the stabilizing set in the space of the integral and derivative gains is shown to be a triangle.

关键词： Hermite-Biehler theorem stability pi/pid controllers second order unstable delay system stability region.

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Optimal tuning rules for pi/pid controllers for inverse response processes

Optimal tuning rules for PI/PID controllers for inverse resp...

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5th IFAC Conference on Advances in Control and Optimization of Dynamical Systems (ACODS)

作者： Irshad, Mohammad Ali, Ahmad Indian Inst Technol Dept Elect Engn Patna 801106 Bihta India

In this work, optimal tuning rules for pi/pid controllers for stable and integrating first-order inverse response processes are reported. Integral performance criteria (ISTE, (ISTE)-E-2 and (ISTE)-E-3) have been minimized using Particle Swarm Optimization (PSO), an evolutionary optimization technique, to get optimal controller parameters. For integrating process model, set point filter is used for reducing large overshoot. For nominal conditions, simulation results show significant improvement in both servo and regulatory performances. The optimal controllers also give good robust control performances during model-mismatch conditions. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Optimal pi/pid controllers inverse response integral performance criteria servo

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Performance improvement of pi controllers through dynamic set-point weighting

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ISA TRANSACTIONS 2011年第2期50卷 220-230页

作者： Mudi, Rajani K. Dey, Chanchal Jadavpur Univ Dept Instrumentat & Elect Engg Sector 3 Kolkata 700098 W Bengal India Univ Calcutta Dept Appl Phys Kolkata 700009 India

Responses of high-order systems under Ziegler-Nichols tuned pi controllers (ZNpis) are characterized by excessive oscillation with a large overshoot. Although, a fixed set-point weighting based pi controller (FSWpi) may decrease the overshoot considerably, it fails to reduce the oscillation in the set-point response. Moreover, both FSWpi and ZNpi exhibit equally poor load regulation. Keeping in mind an overall improved performance, we propose an online dynamic set-point weighting technique for ZNpis. The dynamic set-point weighting factor (beta(d)) is heuristically derived from the instantaneous process trend. Performance of the proposed dynamic set-point weighting based pi controller (DSWpi) for various second-and third-order processes including a pH process shows a significant improvement during both the set-point and load disturbance responses over other methods. Stability and robustness of the proposed DSWpi are addressed. Effectiveness of the DSWpi is demonstrated through the real-time implementation on a practical DC position control system. (C) 2010 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： pi/pid controllers Ziegler-Nichols tuning Variable set-point weighting Dynamic set-point weighting

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An improved auto-tuning scheme for pi controllers

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ISA TRANSACTIONS 2008年第1期47卷 45-52页

作者： Mudi, Rajani K. Dey, Chanchal Lee, Tsu-Tian Univ Jadavpur Dept Instrumentat & Elect Engn Kolkata 700098 W Bengal India Univ Calcutta Dept Appl Phys Kolkata 700009 W Bengal India Natl Chiao Tung Univ Dept Elect & Control Engn Hsinchu 300 Taiwan

Ziegler-Nichols tuned pi and pid controllers are usually found to provide poor performances for high-order and nonlinear systems. In this study, an improved auto-tuning scheme is presented for Ziegler-Nichols tuned pi controllers (ZNpiCs). With a view to improving the transient response, the proportional and integral gains of the proposed controller are continuously modified based on the current process trend. The proposed controller is tested for a number of high-order linear and nonlinear dead-time processes under both set-point change and load disturbance. It exhibits significantly improved performance compared to ZNpiC, and Refined Ziegler-Nichols tuned pi controller (RZNpiC). Robustness of the proposed scheme is established by varying the controller parameters as well as the dead-time of the process under control. (c) 2007, ISA. Published by Elsevier Ltd. All rights reserved.

关键词： pi/pid controllers Ziegler-Nichols tuning auto-tuning load disturbance

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Simple method of calculatingset point weighting parameter for unstable systems with a zero

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COMPUTERS & CHEMICAL ENGINEERING 2004年第11期28卷 2433-2437页

作者： Sree, RP Chidambaram, M Indian Inst Technol Dept Chem Engn Madras 600036 Tamil Nadu India

A simple method is proposed for the calculation of the set point weighting parameter in pi/pid controllers for unstable systems with a zero. Unstable second order systems with a positive or negative zero are considered. The method consists of equating for the set point weighting parameter (beta). Simulation results are given for the improved performance for the systems with a positive or a negative zero with obne stable and one unstable pole. The performance of the set point weighted controller using the value of beta by the simple method is compared with that obtained by minimizing the ISE value by numerical optimization method. (C) 2004 Elsevier Ltd. All rights reserved.

关键词： set point weighting parameter unstable systems pi/pid controllers

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Advanced Tuning for Ziegler-Nichols Plants

Advanced Tuning for Ziegler-Nichols Plants

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20th World Congress of the International-Federation-of-Automatic-Control (IFAC)

作者： Diaz-Rodriguez, Ivan D. Han, Sangjin Keel, L. H. Bhattacharyya, S. P. Texas A&M Univ Dept Elect & Comp Engn College Stn TX 77840 USA Tennessee State Univ Dept Elect & Comp Engn Nashville TN 37209 USA

In this paper, we describe an advanced tuning approach for the design of pi (Proportional-Integral) and pid (Proportional-Integral-Derivative) controllers for the Ziegler-Nichols plants, that is First Oder Plus Time-Delay (FOPTD) continuous-time LTI (Linear Time Invariant) systems. The objective is to provide to the designer an efficient tool to design pi or pid controllers where it is possible to select simultaneous performance specifications of gain margin, phase margin, and gain crossover frequency from a set of achievable performance design curves for Ziegler-Nichols plants. To succeed in this, we first construct the stabilizing set of pi or pid controllers corresponding to the Ziegler-Nichols plant. Next, we generate an achievable performance set displayed as design curves in the gain and phase margin plane, indexed by gain crossover frequencies. Each point in this achievable performance plot represents a prescribed gain margin, phase margin, and crossover frequency, obtained by a pi or pid controller contained in the stabilizing set. Then, by selecting a point from the achievable performance set, a unique pi or pid controller achieving these simultaneous specifications is found from the intersection of an ellipse and straight line parametrized from constant magnitude and constant phase loci in the space of controller gains. We present illustrative examples to validate the proposed approach. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

关键词： Linear systems Time-Delay pi/pid controllers Stability limits Computer aided control system design

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