Improved PID controller design for an unstable second order plus time delay non-minimum phase systems
Principally the fundamental limitations for achieving better control performance is caused due to the existence of positive zeros. This study proposes a method to stabilize the unstable non-minimum phase Second Order Plus Time Delay (SOPTD) process. It adopts the Taylor series expansion to produce t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720722000133 |
| _version_ | 1818228416735870976 |
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| author | Purushottam Patil Sanjith S. Anchan Chinta Sankar Rao |
| author_facet | Purushottam Patil Sanjith S. Anchan Chinta Sankar Rao |
| author_sort | Purushottam Patil |
| collection | DOAJ |
| description | Principally the fundamental limitations for achieving better control performance is caused due to the existence of positive zeros. This study proposes a method to stabilize the unstable non-minimum phase Second Order Plus Time Delay (SOPTD) process. It adopts the Taylor series expansion to produce the equal order of numerator and denominator for the closed loop transfer function. The coefficient of corresponding powers of s, s2and s3in numerators are equated to α, β, γ times of the denominator and solved for PID controller setting using multi-objective optimization problems. The stability of the controller is then analysed by minimizing the Integral Time weighted Absolute Error (ITAE) and maximum sensitivity function using MATLAB solvers. The observations from various simulation studies clearly suggests that the proposed method provides significant superior responses when compared with the methods reported. |
| first_indexed | 2024-12-12T10:02:22Z |
| format | Article |
| id | doaj.art-b458a0129f1641779c1317304d25e7cf |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-12-12T10:02:22Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-b458a0129f1641779c1317304d25e7cf2022-12-22T00:27:59ZengElsevierResults in Control and Optimization2666-72072022-06-017100117Improved PID controller design for an unstable second order plus time delay non-minimum phase systemsPurushottam Patil0Sanjith S. Anchan1Chinta Sankar Rao2Department of Chemical Engineering, National Institute of Technology Karnataka, Surathkal, IndiaDepartment of Chemical Engineering, National Institute of Technology Karnataka, Surathkal, IndiaCorresponding author.; Department of Chemical Engineering, National Institute of Technology Karnataka, Surathkal, IndiaPrincipally the fundamental limitations for achieving better control performance is caused due to the existence of positive zeros. This study proposes a method to stabilize the unstable non-minimum phase Second Order Plus Time Delay (SOPTD) process. It adopts the Taylor series expansion to produce the equal order of numerator and denominator for the closed loop transfer function. The coefficient of corresponding powers of s, s2and s3in numerators are equated to α, β, γ times of the denominator and solved for PID controller setting using multi-objective optimization problems. The stability of the controller is then analysed by minimizing the Integral Time weighted Absolute Error (ITAE) and maximum sensitivity function using MATLAB solvers. The observations from various simulation studies clearly suggests that the proposed method provides significant superior responses when compared with the methods reported.http://www.sciencedirect.com/science/article/pii/S2666720722000133Unstable systemsNon-minimum phase systemRobustnessPID controller |
| spellingShingle | Purushottam Patil Sanjith S. Anchan Chinta Sankar Rao Improved PID controller design for an unstable second order plus time delay non-minimum phase systems Results in Control and Optimization Unstable systems Non-minimum phase system Robustness PID controller |
| title | Improved PID controller design for an unstable second order plus time delay non-minimum phase systems |
| title_full | Improved PID controller design for an unstable second order plus time delay non-minimum phase systems |
| title_fullStr | Improved PID controller design for an unstable second order plus time delay non-minimum phase systems |
| title_full_unstemmed | Improved PID controller design for an unstable second order plus time delay non-minimum phase systems |
| title_short | Improved PID controller design for an unstable second order plus time delay non-minimum phase systems |
| title_sort | improved pid controller design for an unstable second order plus time delay non minimum phase systems |
| topic | Unstable systems Non-minimum phase system Robustness PID controller |
| url | http://www.sciencedirect.com/science/article/pii/S2666720722000133 |
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