Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark
In this paper, a fractional order LQG benchmark is proposed for the control performance assessment of fractional order control systems. Similar to the conventional LQG benchmark, the fractional order LQG performance benchmark curve is determined by the numerical calculation method, which avoids the...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9123759/ |
| _version_ | 1818619697168384000 |
|---|---|
| author | Rongxuan Li Feng Wu Pingzhi Hou Hongbo Zou |
| author_facet | Rongxuan Li Feng Wu Pingzhi Hou Hongbo Zou |
| author_sort | Rongxuan Li |
| collection | DOAJ |
| description | In this paper, a fractional order LQG benchmark is proposed for the control performance assessment of fractional order control systems. Similar to the conventional LQG benchmark, the fractional order LQG performance benchmark curve is determined by the numerical calculation method, which avoids the calculation of the complex interaction matrix. The fractional order process model is discretized via fractional order calculus. Meanwhile, the fractional order integral is introduced into the conventional LQG cost function. Then solving the linear quadratic Gaussian problem under the fractional order model and fractional control, the optimal input and output variances are determined for different weighting factors and the performance curves can be achieved. The comparison between fractional order LQG and the conventional LQG shows the improvement of the proposed benchmark under the same condition. The proposed benchmark can provide a more direct and superior reference standard to evaluate the performance of fractional order control system. Finally, a case study of fractional order PID(FO-PID) controller in industrial heating furnace temperature control experiment with model matching and model mismatch conditions is used to verify the effectiveness of the proposed benchmark. |
| first_indexed | 2024-12-16T17:41:36Z |
| format | Article |
| id | doaj.art-a5cc86118ef549ada856f212330f9bb0 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T17:41:36Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-a5cc86118ef549ada856f212330f9bb02022-12-21T22:22:36ZengIEEEIEEE Access2169-35362020-01-01811665311666210.1109/ACCESS.2020.30047019123759Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG BenchmarkRongxuan Li0https://orcid.org/0000-0003-4166-8827Feng Wu1Pingzhi Hou2Hongbo Zou3https://orcid.org/0000-0001-5954-3040Belt and Road Information Research Institute, Hangzhou Dianzi University, Hangzhou, ChinaBelt and Road Information Research Institute, Hangzhou Dianzi University, Hangzhou, ChinaBelt and Road Information Research Institute, Hangzhou Dianzi University, Hangzhou, ChinaBelt and Road Information Research Institute, Hangzhou Dianzi University, Hangzhou, ChinaIn this paper, a fractional order LQG benchmark is proposed for the control performance assessment of fractional order control systems. Similar to the conventional LQG benchmark, the fractional order LQG performance benchmark curve is determined by the numerical calculation method, which avoids the calculation of the complex interaction matrix. The fractional order process model is discretized via fractional order calculus. Meanwhile, the fractional order integral is introduced into the conventional LQG cost function. Then solving the linear quadratic Gaussian problem under the fractional order model and fractional control, the optimal input and output variances are determined for different weighting factors and the performance curves can be achieved. The comparison between fractional order LQG and the conventional LQG shows the improvement of the proposed benchmark under the same condition. The proposed benchmark can provide a more direct and superior reference standard to evaluate the performance of fractional order control system. Finally, a case study of fractional order PID(FO-PID) controller in industrial heating furnace temperature control experiment with model matching and model mismatch conditions is used to verify the effectiveness of the proposed benchmark.https://ieeexplore.ieee.org/document/9123759/Fractional order systemfractional order linear quadratic Gaussian (FO-LQG)control performance assessmentFO-PID control |
| spellingShingle | Rongxuan Li Feng Wu Pingzhi Hou Hongbo Zou Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark IEEE Access Fractional order system fractional order linear quadratic Gaussian (FO-LQG) control performance assessment FO-PID control |
| title | Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark |
| title_full | Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark |
| title_fullStr | Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark |
| title_full_unstemmed | Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark |
| title_short | Performance Assessment of FO-PID Temperature Control System Using a Fractional Order LQG Benchmark |
| title_sort | performance assessment of fo pid temperature control system using a fractional order lqg benchmark |
| topic | Fractional order system fractional order linear quadratic Gaussian (FO-LQG) control performance assessment FO-PID control |
| url | https://ieeexplore.ieee.org/document/9123759/ |
| work_keys_str_mv | AT rongxuanli performanceassessmentoffopidtemperaturecontrolsystemusingafractionalorderlqgbenchmark AT fengwu performanceassessmentoffopidtemperaturecontrolsystemusingafractionalorderlqgbenchmark AT pingzhihou performanceassessmentoffopidtemperaturecontrolsystemusingafractionalorderlqgbenchmark AT hongbozou performanceassessmentoffopidtemperaturecontrolsystemusingafractionalorderlqgbenchmark |