Adaptive Proportional-Integral Control Design for a Class of Continuous Stirred Tank Reactors with Uncertain Parameters

Các tác giả

Email tác giả liên hệ:

ntsang@hcmute.edu.vn

DOI:

https://doi.org/10.54644/jte.2024.1570

Từ khóa:

Chemical reactor, Temperature regulation, Control theory, Lyapunov function, Non-isothermal reactor

Tóm tắt

Mathematical model of reaction systems contains experimental parameters such as reaction enthalpies, which may be inaccurate and, therefore, severely affect the computation as well as the implementation of feedback control laws. This paper aims to design an adaptive PI-like controller to regulate a chemical reaction system by means of the Lyapunov theory. More precisely, uncertain model parameters are updated online by solving a set of ordinary differential equations while the global asymptotic convergence of closed-loop system trajectories towards the desired equilibrium is ensured by using the proposed adaptive PI-like controller under the assumption of stability of isothermal conditions. The applicability of theoretical developments is illustrated with an irreversible first-order reaction system having multiple steady states and taking place in a non-isothermal continuous stirred tank reactor. Simulation results show that system trajectories initiated at different conditions are asymptotically stabilized at the desired values and the closed-loop system is robust against the uncertainty of heat exchange coefficient and dilution rate.

Tải xuống: 0

Dữ liệu tải xuống chưa có sẵn.

Tiểu sử của Tác giả

Thanh Sang Nguyen, Ho Chi Minh City University of Technology and Education, Vietnam

Nguyen Thanh Sang graduated the bachelor’s degree of chemical engineering in Ho Chi Minh City University of Technology in 2015. He, then, received the master’s degree and the Ph.D. degree, majoring in the process system engineering for chemical processes, in Universiti Malaya (UM), Kuala Lumpur, Malaysia, in 2018 and 2023, respectively.

From 2023 to present, he has worked as a lecturer and a researcher in the department of chemical engineering technology, the faculty of chemical and food technology, Ho Chi Minh City University of Technology and Education.

His research focuses on modeling of physicochemical processes, advanced process control methods for chemical processes such as chemical reactors, state observers and parameter estimators. The author can be contacted via his Email: ntsang@hcmute.edu.vn. ORCID:  https://orcid.org/0000-0001-9834-3658

Ngoc Ha Hoang, Duy Tan University, Da Nang, Vietnam

Hoang Ngoc Ha obtained his MS and PhD degrees in Automatic Control from Grenoble Institute of Technology and Claude Bernard University Lyon 1 in 2006 and 2009, respectively. From 2010 till 2017 he worked as a lecturer at the VNU-HCM University of Technology. From 2017 he has been a senior lecturer and researcher at Duy Tan University (Da Nang, Vietnam). He is currently an associate professor of Automatic Control. His research interests include potential-based modelling, thermodynamics, process systems engineering, nonlinear control, model reduction and intelligent estimation.    

The author can be contacted via his email: hoangngocha2@duytan.edu.vn, ngocha.h@gmail.com. ORCID:  https://orcid.org/0000-0002-0137-4747

Tài liệu tham khảo

W. L. Luyben, Process Modeling, Simulation, and Control for Chemical Engineers, second ed. (Chemical Engineering Series). McGraw-Hill Higher Education, 1990.

B. W. Bequette, Process dynamics: Modeling, analysis and simulation, first ed. (Prentice Hall International Series in The Physical and Chemical Engineering Studies). New Jersey: Prentice Hall PTR, Upper Saddle River, 1998.

A. Favache and D. Dochain, "Power-shaping control of reaction systems: The CSTR case," Automatica, vol. 46, no. 11, pp. 1877-1883, 2010. DOI: https://doi.org/10.1016/j.automatica.2010.07.011

N. H. Hoang, F. Couenne, Y. Le Gorrec, C. L. Chen, and B. E. Ydstie, "Passivity-based nonlinear control of CSTR via asymptotic observers," Annual Reviews in Control, vol. 37, no. 2, pp. 278-288, 2013. DOI: https://doi.org/10.1016/j.arcontrol.2013.09.007

K. J. Astrom, "Limitations on control system performance," European Journal of Control, vol. 6, pp. 2-20, 2006.

D. D. Bruns and J. E. Bailey, "Process operation near an unstable steady state using nonlinear feedback control," Chemical Engineering Science, vol. 30, pp. 755-762, 1975. DOI: https://doi.org/10.1016/0009-2509(75)85103-7

A. Uppal and W. H. Ray, "On the dynamic behavior of continuous stirred tank reactors," Chemical Engineering Science., vol. 29, pp. 967-985, 1974. DOI: https://doi.org/10.1016/0009-2509(74)80089-8

C. Van Heerden, "Autothermic processes. Properties and reactor design," Industrial & Engineering Chemistry Research, vol. 45, no. 6, pp. 1242-1247, 1953. DOI: https://doi.org/10.1021/ie50522a030

N. T. Sang, H. N. M. Ha, and M. A. Hussain, "Feedback passivation plus tracking-error-based multivariable control for a class of free-radical polymerisation reactors," International Journal of Control, vol. 92, no. 9, pp. 1970-1984, 2019. DOI: https://doi.org/10.1080/00207179.2017.1423393

N. H. Hoang, F. Couenne, C. Jallut, and Y. Le Gorrec, "Lyapunov-based control of non isothermal continuous stirred tank reactors using irreversible thermodynamics," Journal of Process Control, vol. 22, no. 2, pp. 412-422, 2012. DOI: https://doi.org/10.1016/j.jprocont.2011.12.007

N. H. Hoang, F. Couenne, C. Jallut, and Y. Le Gorrec, "Thermodynamics based stability analysis and its use for nonlinear stabilization of the CSTR," Computers & Chemical Engineering, vol. 58, pp. 156-177, 2013. DOI: https://doi.org/10.1016/j.compchemeng.2013.06.016

C. Panjapornpon, M. Soroush, and W. D. Seider, "Model-based controller design for unstable, non-minimum-phase, nonlinear processes," Industrial & Engineering Chemistry Research, vol. 45, pp. 2758-2768, 2006. DOI: https://doi.org/10.1021/ie050724p

S. I. Sandler, Chemical, biochemical, and engineering thermodynamics. John Wiley & Sons, 2017.

T. S. Nguyen, "A port-Hamiltonian Framework for control of chemical reaction systems with variant and invariant states," Ph.D., Chemical Engineering, Universiti Malaya, Faculty of Engineering, 2023.

N. H. Hoang, D. Rodrigues, and D. Bonvin, "Revisiting the concept of extents for chemical reaction systems using an enthalpy balance," Computers & Chemical Engineering, vol. 136, p. 106652, 2020. DOI: https://doi.org/10.1016/j.compchemeng.2019.106652

J. Alvarez, J. A. Ramirez, G. E. Perez, and A. Schaum, "Energy shaping plus damping injection control for a class of chemical reactors," Chemical Engineering Science, vol. 66, no. 23, pp. 6280-6286, 2011. DOI: https://doi.org/10.1016/j.ces.2011.09.002

H. K. Khalil, Nonlinear systems, third ed. Prentice Hall, 2002.

Tải xuống

Đã Xuất bản

2024-12-28

Cách trích dẫn

[1]
Thanh Sang Nguyen và Ngoc Ha Hoang, “Adaptive Proportional-Integral Control Design for a Class of Continuous Stirred Tank Reactors with Uncertain Parameters”, JTE, vol 19, số p.h Special Issue 05, tr 31–41, tháng 12 2024.

Số

T. 19 S. Special Issue 05 (2024)

Chuyên mục

Bài báo khoa học

Categories

Giấy phép

Bản quyền (c) 2024 Tạp chí Khoa học Giáo dục Kỹ Thuật

Giấy phép Creative Commons

Tác phẩm này được cấp phép theo Giấy phép quốc tế Creative Commons Attribution-NonCommercial 4.0 .

Bản quyền thuộc về JTE.

Crossref
Scopus
Google Scholar
Europe PMC