Abstract
This paper proposes a novel robust model-free adaptive interval type-2 fuzzy sliding mode control (MF-AIT2FSMC) for the proton exchange membrane fuel cell (PEMFC) system using nonlinear disturbance observer. The main control objective is to adjust the oxygen stoichiometry at its reference trajectory under load disturbances and parameter uncertainties, to avert the oxygen starvation problem and to obtain maximum net power. The referred MF-AIT2FSMC control strategy is composed of three parts: first, a nonlinear disturbance observer is proposed to estimate both oxygen and nitrogen partial pressures which are considered as unmeasurable variables. Second, a nonlinear disturbance observer-based intelligent proportional-integral (NDBO-iPI) control is derived, whereas the NDBO is used to estimate the unmodeled system dynamics via the knowledge of input and output signals. Third, adaptive interval type-2 fuzzy nonsingular fast terminal sliding mode control is inserted to NDBO-iPI control to compensate the NDBO estimation error, enhance the control performance and ensure the global controlled system stability. Furthermore, the entire controlled system stability is verified via the Lyapunov approach. Finally, the corresponding numerical simulation on the PEMFC system is obtained to demonstrate the effectiveness and efficiency of the proposed MF-AIT2FSMC technique by comparing with the NDBO-iPI and standard PID controller.
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References
Wang, C., Nehrir, M.H., Shaw, S.R.: Dynamic models and model validation for PEM fuel cells using electrical circuits. IEEE Trans. Energy Convers. 20(2), 442–451 (2005)
Abbaker, O.: Control of wind turbine for variable speed based on fuzzy-PID controller. J. Eng. Comput. Sci. JECS 18(1), 40–51 (2017)
Zhidong, Q., Sun, Q., Ge, W., He, Y.: Nonlinear modeling of PEMFC based on fractional order subspace identification. Asian J. Control (2019). https://doi.org/10.1002/asjc.2092
Chen, Q., Gao, L., Dougal, R.A., Quan, S.: Multiple model predictive control for a hybrid proton exchange membrane fuel cell system. J. Power Sources 191(2), 473–482 (2009)
Baroud, Z., Benmiloud, M., Benalia, A., Ocampo-Martinez, C.: Novel hybrid fuzzy-PID control scheme for air supply in PEM fuel-cell-based systems. Int. J. Hydrog. Energy 42(15), 10435–10447 (2017)
Motapon, S.N., Dessaint, L.A., Al-Haddad, K.: A comparative study of energy management schemes for a fuel-cell hybrid emergency power system of more-electric aircraft. IEEE Trans. Ind. Electron. 61(3), 1320–1334 (2014)
Cheng, S., Xu, L., Li, J., Fang, C., Hu, J., Ouyang, M.: Development of a PEM fuel cell city bus with a hierarchical control system. Energies 9(6), 417 (2016)
Garc´ıa, P., Torreglosa, J.P., Fernández, L.M., Jurado, F.: Viability study of a FC-battery-SC tramway controlled by equivalent consumption minimization strategy. Int. J. Hydrog. Energy 37(11), 9368–9382 (2012)
Ou, K., Wang, Y.X., Li, Z.Z., Shen, Y.D., Xuan, D.J.: Feedforward fuzzy-PID control for air flow regulation of PEM fuel cell system. Int. J. Hydrog. Energy 40(35), 11686–11695 (2015)
Ziogou, C., Papadopoulou, S., Georgiadis, M.C., Voutetakis, S.: On-line nonlinear model predictive control of a PEM fuel cell system. J. Process Control 23(4), 483–492 (2013)
Rodatz, P., Paganelli, G., Guzzella, L.: Optimizing air supply control of a PEM fuel cell system. In: Proceedings of the 2003 American Control Conference, Denver, CO, USA, 2003, pp. 2043–2048. IEEE
Rakhtala, S.M., Noei, A.R., Ghaderi, R., Usai, E.: Control of oxygen excess ratio in a PEM fuel cell system usinghigh-order sliding-mode controller and observer. Turk. J. Electr. Eng. Comput. Sci. 23(1), 255–278 (2015)
Aliasghary, M.: Control of PEM fuel cell systems using interval type-2 fuzzy PID approach. Fuel Cells 18(4), 449–456 (2018)
Ahmed, S., Wang, H.P., Tian, Y.: Model-free control using time delay estimation and fractional-order nonsingular fast terminal sliding mode for uncertain lower-limb exoskeleton. J. Vib. Control 22(24), 5273–5290 (2018)
Park, G., Gajic, Z.: A simple sliding mode controller of a fifth-order nonlinear pem fuel cell model. IEEE Trans. Energy Convers. 29(1), 65–71 (2014)
Laghrouche, S., Harmouche, M., Ahmed, F.S., Chitour, Y.: Control of PEMFC air-feed system using Lyapunovbased robust and adaptive higher order sliding mode control. IEEE Trans. Control Syst. Technol. 23(4), 1594–1601 (2015)
Li, C.H., Sun, Z.H., Wang, Y.L., Wu, X.D.: Fuzzy sliding mode control of air supply flow of a PEM fuel cell system. Unifying Electrical Engineering and Electronics Engineering, pp. 933–942. New York, Springer (2014)
Zakaria, B., Noureddine, G., Atallah, B., Carlos, O.: Algebraic observer-based output-feedback controller design for a PEM fuel cell air-supply subsystem. IET Renew. Power Gener. 12(14), 1714–1721 (2018)
Deng, H., Li, Q., Chen, W.: Research on HOSM observer for oxygen excess ratio estimation of PEMFC system. Proc. CSEE 37(17), 5058–5068 (2017)
Thawornkuno, C., Panjapornpon, C.: Estimation of water content in PEM fuel cell. Chiang Mai J. Sci. 35(1), 212–220 (2008)
Pukrushpan, J., Stefanopoulou, A., Peng, H.: Control of fuel cell breathing. IEEE Control Syst. 24(2), 30–46 (2004)
Vepa, R.: Adaptive state estimation of a PEM fuel cell. IEEE Trans. Energy Convers. 27(2), 457–467 (2012)
Baroud, Z., Gazzam, N., Benalia, A., Ocampo-Martinez, C.: Algebraic Observer Design for PEM Fuel Cell System. In: 2016 8th International Conference on Modelling Identification and Control (ICMIC), Algiers, Algeria 2016, pp. 966–970. IEEE
Chen, W., Yang, J., Guo, L., Li, S.: Disturbance-observer-based control and related methods-an overview. IEEE Trans. Ind. Electron. 63(2), 1083–1095 (2016)
Fliess, M., Join, C.: Model free control and intelligent PID controllers: Towards a possible trivialization of nonlinear control. IFAC Proc. 42, 10 (2009)
Fliess, M., Join, C.: Intelligent PID controllers. In: 16th Mediterrean conference on control and automation, Ajaccio, France 2008, pp. 326–331. IEEE
Chong, Y., Liu, J., Wang, S., Chen, X., Luo, Q., Wang, Y., Li, M., Han, Y.: Adaptive sliding mode control for a class of second-order output tracking systems with uncertain perturbations. In: 2019 Chinese Automation Congress (CAC), Hangzhou, China, China 2019, pp. 2411–2416. IEEE
Yan, J., Wang, H., Huang, S., Lan, Y.: Load disturbance observer-based complementary sliding mode control for pmsm of the mine traction electric locomotive. Int. J. Fuzzy Syst. 21(4), 1051–1058 (2019)
Haroun, A.G., Li, Y.Y.: A novel optimized hybrid fuzzy logic intelligent PID controller for an interconnected multi-area power system with physical constraints and boiler dynamics. ISA Trans. 71, 364–379 (2017)
Wang, H.P., Tian, Y., Ni, S., Christov, N.: Intelligent proportional trajectory tracking controllers: Using ultra-local model and time delay estimation techniques. In: 27th Chinese control and decision conference (CCDC), Qingdao, China 2015, pp. 430–435. IEEE
Li, S., Wang, H.P., Tian, Y., Aitouch, A., Klein, J.: Direct power control of DFIG wind turbine systems based on an intelligent proportional-integral sliding mode control. ISA Trans. 64, 431–439 (2016)
Haroun, A.G., Li, Y.Y.: Ant lion optimized hybrid intelligent PID-based sliding mode controller for frequency regulation of interconnected multi-area power systems. Trans. Inst. Measur. Control 42(9), 1594–1617 (2020)
Wang, H.P., Li, S., Tian, Y., Aitouche, A.: Intelligent proportional differential neural network control for unknown nonlinear system. Stud. Inf. Control 25(4), 445–452 (2016)
Han, S., Wang, H.P., Tian, Y.: Model-free based adaptive nonsingular fast terminal sliding mode control with time-delay estimation for a 12 DOF multi-functional lower limb exoskeleton. Adv. Eng. Softw. 119, 38–47 (2018)
Abbaker, A.O., Wang, H.P., Tian, Y.: Voltage control of solid oxide fuel cell power plant based on intelligent proportional integral-adaptive sliding mode control with anti-windup compensator. Trans. Inst. Measur. Control 42(1), 116–130 (2020)
Zhang, X., Wang, H.P., Tian, Y., Peyrodie, L., Wang, X.: Model-free based neural network control with time-delay estimation for lower extremity exoskeleton. Neurocomputing 272, 178–188 (2018)
Mustafa, G.I., Wang, H.P., Tian, Y.: Model-free adaptive fuzzy logic control for a half-car active suspension system. Stud. Inf. Control 28(1), 13–24 (2019)
Wang, H.P., Mustafa, G.I., Tian, Y.: Model-free fractional order sliding mode control for an active vehicle suspension system. Adv. Eng. Softw. 115(1), 452–461 (2018)
Abouaissa, H., Fliess, M., Join, C.: On ramp metering: towards a better understanding of ALINEA via model-free control. Int. J. Control 90(5), 1018–1026 (2017)
Al-Younes, Y., Drak, A., Noura, H., Rabhi, A., El-Hajjaji, A.: Model-free control of a quadrotor vehicle. In: 2014 International conference on unmanned aircraft systems (ICUAS), Orlando, FL, USA 2014, pp. 1126–1131. IEEE
Rathi, K.M., Prabha, R.N.: Interval type-2 fuzzy logic controller-based multi-level shunt active power line conditioner for harmonic mitigation. Int. J. Fuzzy Syst. 21, 104–114 (2019)
Zeghlache, S., Benslimane, T., Amardjia, N., Bouguerra, A.: Interval type-2 fuzzy sliding mode controller based on nonlinear observer for a 3-DOF helicopter with uncertainties. Int. J. Fuzzy Syst. 19, 1444–1463 (2017)
Tafti, B.E.F., Teshnehlab, M., Khanesar, M.A.: Recurrent interval type-2 fuzzy wavelet neural network with stable learning algorithm: application to model-based predictive control. Int. J. Fuzzy Syst. 22, 351–367 (2020)
Mo, H., Zhao, X., Wang, F.Y.: Application of interval type-2 fuzzy sets in unmanned vehicle visual guidance. Int. J. Fuzzy Syst. 21(6), 1661–1668 (2019)
Saif, A.W.A., Mudasar, M., Mysorewala, M., Elshafei, M.: Observer-based interval type-2 fuzzy logic control for nonlinear networked control systems with delays. Int. J. Fuzzy Syst. 22(2), 380–399 (2020)
Suh, K.W.: Modeling, analysis and control of fuel cell hybrid power systems. Ph.D thesis, Department of Mechanical Engineering, University of Michigan (2006)
Matraji, I., Laghrouche, S., Jemei, S., Wack, M.: Robust control of the PEM fuel cell air-feed system via sub-optimal second order sliding mode. Appl. Energy 104, 945–957 (2013)
Gruber, J.K., Bordons, C., Dorado, F.:: Nonlinear control of the air feed of a fuel cell. In: 2008 American Control Conference, Seattle, WA, USA 2008, pp. 1121–1126. IEEE
Tian, Y., Wang, H., Wu, Q., Hu, M., Christov, N.: Nonsingular fast terminal sliding mode based model-free control: application to glycemia regulation systems. Inf. Technol. Control 48(4), 602–617 (2019)
Acknowledgements
This work was partially supported by the National Natural Science Foundation of China (61773212) and by International Science and Technology Cooperation Program of China (2015DFA01710)
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Omer Abbaker, A.M., Wang, H. & Tian, Y. Robust Model-Free Adaptive Interval Type-2 Fuzzy Sliding Mode Control for PEMFC System Using Disturbance Observer. Int. J. Fuzzy Syst. 22, 2188–2203 (2020). https://doi.org/10.1007/s40815-020-00916-8
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DOI: https://doi.org/10.1007/s40815-020-00916-8