{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T23:22:36Z","timestamp":1773098556673,"version":"3.50.1"},"reference-count":23,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2022,9,5]],"date-time":"2022-09-05T00:00:00Z","timestamp":1662336000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62073113"],"award-info":[{"award-number":["62073113"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Aiming at the problems of nonlinearity and inaccuracy in the model of the pneumatic control valve position in the industrial control process, a valve position control method based on a fractional-order PID controller is proposed. The working principle of the pneumatic control valve is analyzed, and its mathematical model is established. In order to improve the accuracy of the model, an improved biogeography-based optimization algorithm is proposed to tune the parameters of the fractional-order PID controller in view of the wide range and high complexity of the fractional-order PID controller. The initialization of the chaotic graph, the adjustment of the migration model, and the improvement of the migration operator and the mutation operator are introduced to improve the algorithm optimization ability, which is used for the model identification of the control valve control system. The simulation and experimental results clearly show that, compared with the integer-order PID controller, the designed fractional-order PID controller has faster response speed and control accuracy, which can better meet the requirements of pneumatic control valve position control.<\/jats:p>","DOI":"10.3390\/s22176706","type":"journal-article","created":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T04:18:32Z","timestamp":1662610712000},"page":"6706","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Design of FOPID Controller for Pneumatic Control Valve Based on Improved BBO Algorithm"],"prefix":"10.3390","volume":"22","author":[{"given":"Min","family":"Zhu","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"},{"name":"Engineering Technology Research Center of Industrial Automation, Hefei 230009, China"}]},{"given":"Zihao","family":"Xu","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"}]},{"given":"Zhaoyu","family":"Zang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"}]},{"given":"Xueping","family":"Dong","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"},{"name":"Engineering Technology Research Center of Industrial Automation, Hefei 230009, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2597","DOI":"10.1007\/s13369-018-3328-6","article-title":"A robust fractional order parallel control structure for flow control using a pneumatic control valve with nonlinear and uncertain dynamics","volume":"44","author":"Goyal","year":"2019","journal-title":"Arab. J. Sci. Eng."},{"key":"ref_2","first-page":"1","article-title":"Research progress on vibration characteristics of regulation valve","volume":"39","author":"Qian","year":"2020","journal-title":"J. Vib. Shock"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1070","DOI":"10.1109\/TLA.2018.8362139","article-title":"Nonlinear dynamic modeling of a pneumatic process control valve","volume":"16","author":"Schmitt","year":"2018","journal-title":"IEEE Lat. Am. Trans."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Yu, M., and Liu, W. (2022). Modeling and Analysis of a Composite Structure-Based Soft Pneumatic Actuators for Soft-Robotic Gripper. Sensors, 22.","DOI":"10.3390\/s22134851"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Li, Y., and Zhou, W. (2022). A Dynamic Modeling Method for the Bi-Directional Pneumatic Actuator Using Dynamic Equilibrium Equation. Sensors, 11.","DOI":"10.3390\/act11010007"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Youssef, S.M., and Soliman, M. (2022). Modeling of Soft Pneumatic Actuators with Different Orientation Angles Using Echo State Networks for Irregular Time Series Data. Sensors, 13.","DOI":"10.3390\/mi13020216"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1016\/j.conengprac.2012.04.012","article-title":"Sliding mode control with gain adaptation\u2014Application to an electropneumatic actuator","volume":"21","author":"Plestan","year":"2013","journal-title":"Control Eng. Pract."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1016\/j.jprocont.2006.01.003","article-title":"A hybrid formulation and design of model predictive control for systems under actuator saturation and backlash","volume":"16","author":"Zabiri","year":"2006","journal-title":"J. Process Control"},{"key":"ref_9","first-page":"1","article-title":"Active Disturbance Rejection Control of Valve-Controlled Cylinder Servo Systems Based on MATLAB-AMESim Cosimulation","volume":"2020","author":"Guo","year":"2020","journal-title":"Complexity"},{"key":"ref_10","first-page":"2597","article-title":"Application of Fuzzy Neural Network in Valve Opening Control","volume":"44","author":"Zhu","year":"2019","journal-title":"Instrum. Tech. Sens."},{"key":"ref_11","first-page":"7","article-title":"Analysis of constraint modification in model-based control valve stiction compensation","volume":"79","author":"Jeremiah","year":"2017","journal-title":"J. Teknol."},{"key":"ref_12","first-page":"87","article-title":"A Type of Control Method Based on Expert PID for Intelligent Valve Positioner","volume":"26","author":"Liu","year":"2019","journal-title":"Control Eng. China"},{"key":"ref_13","first-page":"482","article-title":"Study for the Application of Fractional Order PID Torque Control in Side-drive Coupled Tram","volume":"46","author":"Qi","year":"2020","journal-title":"Acta Autom. Sin."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1016\/j.isatra.2019.07.006","article-title":"Load mitigation of a class of 5-MW wind turbine with RBF neural network based fractional-order PID controller","volume":"96","author":"Asgharnia","year":"2020","journal-title":"ISA Trans."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"900","DOI":"10.1049\/iet-cta.2019.0361","article-title":"Variable coefficient fractional-order PID controller and its application to a SEPIC device","volume":"14","author":"Chen","year":"2020","journal-title":"IET Control Theory Appl."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"58933","DOI":"10.1109\/ACCESS.2020.2983059","article-title":"Design of an optimal fractional order PID for constant tension control system","volume":"8","author":"Meng","year":"2020","journal-title":"IEEE Access"},{"key":"ref_17","first-page":"653","article-title":"Using Fractional-order PID Controller for Control of Aerodynamic Missile","volume":"26","author":"Zhang","year":"2005","journal-title":"J. Astronaut."},{"key":"ref_18","first-page":"2198","article-title":"Fractional order PID controller design in frequency domain based on ideal Bode transfer function and its application","volume":"34","author":"Nie","year":"2019","journal-title":"Control Decis."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"416","DOI":"10.1007\/s40313-020-00683-9","article-title":"Modified salp swarm algorithm-optimized fractional-order adaptive fuzzy PID controller for frequency regulation of hybrid power system with electric vehicle","volume":"32","author":"Mohanty","year":"2021","journal-title":"J. Control Autom. Electr. Syst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"519","DOI":"10.2298\/HEMIND130717078B","article-title":"The fractional PID controllers tuned by genetic algorithms for expansion turbine in the cryogenic air separation process","volume":"68","author":"Batalov","year":"2014","journal-title":"Hem. Ind."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s11071-009-9649-y","article-title":"Particle swarm optimization with fractional-order velocity","volume":"61","author":"Pires","year":"2010","journal-title":"Nonlinear Dyn."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"702","DOI":"10.1109\/TEVC.2008.919004","article-title":"Biogeography-Based Optimization","volume":"6","author":"Simon","year":"2008","journal-title":"IEEE Trans. Evol. Comput."},{"key":"ref_23","unstructured":"Li, R.H., Meng, G.X., Feng, Z.J., and Li, Y.J. (2006). A sliding mode variable structure control approach for a pneumatic force servo system. 2006 6th World Congress on Intelligent Control and Automation, IEEE."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/17\/6706\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:23:43Z","timestamp":1760142223000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/22\/17\/6706"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,5]]},"references-count":23,"journal-issue":{"issue":"17","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["s22176706"],"URL":"https:\/\/doi.org\/10.3390\/s22176706","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,5]]}}}