PI controller design for a class of distributed parameter systems

Aguilar‐Garnica, Efrén; García-Sandoval, J.P.; González‐Álvarez, V.

doi:10.1016/j.ces.2011.05.025

Cited by 8 publications

(7 citation statements)

References 25 publications

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“…The state of art of chemical reactors control presents for example Luyben in [3] and [4], control and monitoring of batch reactors also describes Caccavale et al in [5]. Generally, it can be stated that chemical reactors controllers use various control methods, such as PI controllers, adaptive control methods, robust approaches, predictive control and the like [6][7][8][9][10][11][12][13][14][15]. The model predictive control [16][17][18] belongs to the one of the most popular and successful approaches for semi-batch reactors control.…”

Section: Control Of the Systemmentioning

confidence: 99%

Comparison of predictive control using Self-Organizing Migrating Algorithm and MATLAB fmincon function

Macků

Samek

2018

MATEC Web Conf.

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The aim of this paper is to evaluate the usability of the self-organizing migrating algorithm (SOMA) in a nonlinear system predictive control area. The model predictive control is based on an objective function minimization. Two approaches to model predictive control applied on a nonlinear system are studied here. Firstly, the SOMA was used to minimize the objective function, secondly, the fmicon function included in the MATLAB optimization toolbox was used for the same. The nonlinear system simulated here is an exothermic semi-batch reactor mathematical model based on a real chemical exothermic process. Also the input data used here to simulate the process were obtained from the same real process. Results obtained by the simulation means were than evaluated using suitable criterion which was defined for that purpose and discussed.

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Section: Control Of the Systemmentioning

confidence: 99%

Comparison of predictive control using Self-Organizing Migrating Algorithm and MATLAB fmincon function

Macků

Samek

2018

MATEC Web Conf.

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“…A typical unstable heat conduction problem, a thin, homogeneous, and isotropic rod [14], is considered, as shown in Fig. 1 and equation (1).…”

Section: Problem Formulationmentioning

confidence: 99%

“…Concerning boundary control of DPS, two mechanisms are commonly used. The basic idea of the first mechanism is to use one or several finite‐order models to approximate the infinite‐order model , such that the controller can be designed based on the simpler models . However, such a truncated finite‐order model will lead to a control spillover problem due to the model‐plant mismatch .…”

Section: Introductionmentioning

confidence: 99%

“…In this study, a temperature profile control problem for unstable heat conduction systems using a boundary controller was studied. The unstable heat conduction system, modeled as partial differential equations (PDE), is a typical distributed parameter system (DPS), which represents a broad class of practical industrial systems . Many types of diffusion process, for example, electron flow and chemical diffusion , can be modeled as similar PDEs.…”

Section: Introductionmentioning

confidence: 99%

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A Novel Boundary Control Solution for Unstable Heat Conduction Systems Based on Active Disturbance Rejection Control

Zhao

Wang

2015

Asian Journal of Control

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In this study, a new boundary control scheme is proposed for a class of unstable heat conduction systems based on active disturbance rejection control and frequency domain analysis methods. The unstable heat conduction systems studied here corresponds to a thin rod with surface heat loss and internal heat generation. An active disturbance rejection boundary controller is designed to stabilize the unstable heat conduction systems. Using the frequency domain analysis method, the Nyquist stability criterion for distributed parameter systems, the relative stability indices (gain margin, phase margin, and exponential stability speed) can be obtained for performance evaluation, and a constructive parameter‐tuning method for controller is proposed. Finally, it is proved that an active disturbance rejection boundary controller can stabilize the unstable heat conduction systems with one unstable pole, and the simulation results demonstrate that the temperature profile of the whole rod has good convergence properties under both Dirichlet and Neumann boundary control.

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“…In the literature, the modeling and control of distributed parameter systems (DPS) have been addressed before [2][3][4]. Sometimes, partial differential equations (PDE) are transformed into a set of ordinary differential equations (ODE) using some kind of technique such as orthogonal collocation [5][6][7] or the method of characteristics [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

A Feedforward Controller to Regulate the Chemical Composition of Molten Steel in a Continuous Casting Tundish

Barrón¹,

Yolotzin²,

Hilerio³

2013

ICA

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A feedforward controller for the automatic regulation of chemical composition of molten steel in the tundish of a continuous casting machine is proposed in this work. The flow of molten steel inside the tundish is modeled as a distributed parameter system, and the resulting partial differential equation is transformed into a set of ordinary differential equations by means of the finite differences technique. From the above set and using a proper boundary condition, a feedforward control law is synthesized. No experimental tests are reported, however, the dynamic performance of the controller is illustrated by means of numerical simulations.

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PI controller design for a class of distributed parameter systems

Cited by 8 publications

References 25 publications

Comparison of predictive control using Self-Organizing Migrating Algorithm and MATLAB fmincon function

Comparison of predictive control using Self-Organizing Migrating Algorithm and MATLAB fmincon function

A Novel Boundary Control Solution for Unstable Heat Conduction Systems Based on Active Disturbance Rejection Control

A Feedforward Controller to Regulate the Chemical Composition of Molten Steel in a Continuous Casting Tundish

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