Design of PID controller for delayed systems using optimization technique under pole assignment constraints
PID controllers are widely used in industry. When properly configured, these controllers provide good quality of control for most industrial facilities. The relevance of the work is determined by the need to develop methods for synthesizing PID controllers implemented in the dialogue with the use of...
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| Format: | Article |
| Language: | Russian |
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Tomsk Polytechnic University
2019-05-01
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| Series: | Известия Томского политехнического университета: Инжиниринг георесурсов |
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| Online Access: | http://izvestiya.tpu.ru/archive/article/view/1478 |
| _version_ | 1797813228918538240 |
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| author | Oleg Vadutov |
| author_facet | Oleg Vadutov |
| author_sort | Oleg Vadutov |
| collection | DOAJ |
| description | PID controllers are widely used in industry. When properly configured, these controllers provide good quality of control for most industrial facilities. The relevance of the work is determined by the need to develop methods for synthesizing PID controllers implemented in the dialogue with the use of modern means of modeling and programming. The main aim of the study is to develop a method which allows performing interactively the PID controller synthesis for plants with time delay. The methods used in the study: D-decomposition method (modified by conditions of partial pole placement of the closed system at given points), integral criteria of the transient processes quality, optimization methods. The results: The author has stated the problem to optimizing PID controller parameters for control systems, in which the object contains a time delay. It is known that the systems with delay have an infinite number of poles and only three poles can be freely assigned using the PID controller. The problem feature is the way to set constraints on placement of the closed system poles. It is proposed to place two poles of the closed system in the fixed points; the remaining, free, poles are proposed to be located in the specified area of the left half-plane. The authors developed an iterative method for solving the problem. Each iteration consists of two stages. At the first stage the region of feasible solutions is built using generalized method of D-decomposition. At the second stage the problem of one-dimensional optimization is solved by the integral criterion of transient quality. The paper demonstrates the example of synthesizing the parameters of PID controller for a standard control object with delay. The example shows the effectiveness of the proposed method of synthesis. |
| first_indexed | 2024-03-13T07:50:12Z |
| format | Article |
| id | doaj.art-92be41b7b6914cd49421f556282294d9 |
| institution | Directory Open Access Journal |
| issn | 2500-1019 2413-1830 |
| language | Russian |
| last_indexed | 2024-03-13T07:50:12Z |
| publishDate | 2019-05-01 |
| publisher | Tomsk Polytechnic University |
| record_format | Article |
| series | Известия Томского политехнического университета: Инжиниринг георесурсов |
| spelling | doaj.art-92be41b7b6914cd49421f556282294d92023-06-02T21:07:42ZrusTomsk Polytechnic UniversityИзвестия Томского политехнического университета: Инжиниринг георесурсов2500-10192413-18302019-05-013255Design of PID controller for delayed systems using optimization technique under pole assignment constraintsOleg VadutovPID controllers are widely used in industry. When properly configured, these controllers provide good quality of control for most industrial facilities. The relevance of the work is determined by the need to develop methods for synthesizing PID controllers implemented in the dialogue with the use of modern means of modeling and programming. The main aim of the study is to develop a method which allows performing interactively the PID controller synthesis for plants with time delay. The methods used in the study: D-decomposition method (modified by conditions of partial pole placement of the closed system at given points), integral criteria of the transient processes quality, optimization methods. The results: The author has stated the problem to optimizing PID controller parameters for control systems, in which the object contains a time delay. It is known that the systems with delay have an infinite number of poles and only three poles can be freely assigned using the PID controller. The problem feature is the way to set constraints on placement of the closed system poles. It is proposed to place two poles of the closed system in the fixed points; the remaining, free, poles are proposed to be located in the specified area of the left half-plane. The authors developed an iterative method for solving the problem. Each iteration consists of two stages. At the first stage the region of feasible solutions is built using generalized method of D-decomposition. At the second stage the problem of one-dimensional optimization is solved by the integral criterion of transient quality. The paper demonstrates the example of synthesizing the parameters of PID controller for a standard control object with delay. The example shows the effectiveness of the proposed method of synthesis.http://izvestiya.tpu.ru/archive/article/view/1478PID controllerD-decomposition methodpole placementoptimizationtime-delay systems |
| spellingShingle | Oleg Vadutov Design of PID controller for delayed systems using optimization technique under pole assignment constraints Известия Томского политехнического университета: Инжиниринг георесурсов PID controller D-decomposition method pole placement optimization time-delay systems |
| title | Design of PID controller for delayed systems using optimization technique under pole assignment constraints |
| title_full | Design of PID controller for delayed systems using optimization technique under pole assignment constraints |
| title_fullStr | Design of PID controller for delayed systems using optimization technique under pole assignment constraints |
| title_full_unstemmed | Design of PID controller for delayed systems using optimization technique under pole assignment constraints |
| title_short | Design of PID controller for delayed systems using optimization technique under pole assignment constraints |
| title_sort | design of pid controller for delayed systems using optimization technique under pole assignment constraints |
| topic | PID controller D-decomposition method pole placement optimization time-delay systems |
| url | http://izvestiya.tpu.ru/archive/article/view/1478 |
| work_keys_str_mv | AT olegvadutov designofpidcontrollerfordelayedsystemsusingoptimizationtechniqueunderpoleassignmentconstraints |