Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization
Fractional-order calculus and derivative is extended from integral-order calculus and derivative. This paper investigates a nonlinear robust control problem using fractional order and operator theory. In order to improve the tracking performance and antidisturbance ability, operator- and fractional-...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/17/2800 |
| _version_ | 1797495762811092992 |
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| author | Guanqiang Dong Mingcong Deng |
| author_facet | Guanqiang Dong Mingcong Deng |
| author_sort | Guanqiang Dong |
| collection | DOAJ |
| description | Fractional-order calculus and derivative is extended from integral-order calculus and derivative. This paper investigates a nonlinear robust control problem using fractional order and operator theory. In order to improve the tracking performance and antidisturbance ability, operator- and fractional-order-based nonlinear robust control for the spiral counter-flow heat exchanger described by the parallel fractional-order model (PFOM) is proposed. The parallel fractional-order model for the spiral counter-flow heat exchanger was identified by particle swarm optimization (PSO) and the parameters of a fractional-order PID (FOPID) controller were optimized by the PSO. First, the parallel fractional-order mathematical model for a spiral counter-flow heat exchanger plant was identified by PSO. Second, a fractional-order PID controller and operator controller for the spiral heat exchanger were designed under the identified parallel fractional-order mathematical model. Third, the parameters of the operator and fractional-order PID were optimized by PSO. Then, tracking and antidisturbance performance of the control system were analyzed. Finally, comparisons of two control schemes were performed, and the effectiveness illustrated. |
| first_indexed | 2024-03-10T01:54:17Z |
| format | Article |
| id | doaj.art-b1a2b169e2ef416a99b4170b9e09f3d2 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T01:54:17Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-b1a2b169e2ef416a99b4170b9e09f3d22023-11-23T13:00:14ZengMDPI AGElectronics2079-92922022-09-011117280010.3390/electronics11172800Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm OptimizationGuanqiang Dong0Mingcong Deng1The Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, JapanThe Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, JapanFractional-order calculus and derivative is extended from integral-order calculus and derivative. This paper investigates a nonlinear robust control problem using fractional order and operator theory. In order to improve the tracking performance and antidisturbance ability, operator- and fractional-order-based nonlinear robust control for the spiral counter-flow heat exchanger described by the parallel fractional-order model (PFOM) is proposed. The parallel fractional-order model for the spiral counter-flow heat exchanger was identified by particle swarm optimization (PSO) and the parameters of a fractional-order PID (FOPID) controller were optimized by the PSO. First, the parallel fractional-order mathematical model for a spiral counter-flow heat exchanger plant was identified by PSO. Second, a fractional-order PID controller and operator controller for the spiral heat exchanger were designed under the identified parallel fractional-order mathematical model. Third, the parameters of the operator and fractional-order PID were optimized by PSO. Then, tracking and antidisturbance performance of the control system were analyzed. Finally, comparisons of two control schemes were performed, and the effectiveness illustrated.https://www.mdpi.com/2079-9292/11/17/2800system identificationparallel fractional modelfractional-order PID controlswarm particle optimizationright coprime factorization |
| spellingShingle | Guanqiang Dong Mingcong Deng Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization Electronics system identification parallel fractional model fractional-order PID control swarm particle optimization right coprime factorization |
| title | Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization |
| title_full | Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization |
| title_fullStr | Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization |
| title_full_unstemmed | Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization |
| title_short | Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization |
| title_sort | operator based fractional order nonlinear robust control for the spiral heat exchanger identified by particle swarm optimization |
| topic | system identification parallel fractional model fractional-order PID control swarm particle optimization right coprime factorization |
| url | https://www.mdpi.com/2079-9292/11/17/2800 |
| work_keys_str_mv | AT guanqiangdong operatorbasedfractionalordernonlinearrobustcontrolforthespiralheatexchangeridentifiedbyparticleswarmoptimization AT mingcongdeng operatorbasedfractionalordernonlinearrobustcontrolforthespiralheatexchangeridentifiedbyparticleswarmoptimization |