Fractional Order Fuzzy PID Control of Automotive PEM Fuel Cell Air Feed System Using Neural Network Optimization Algorithm

The air feeding system is one of the most important systems in the proton exchange membrane fuel cell (PEMFC) stack, which has a great impact on the stack performance. The main control objective is to design an optimal controller for the air feeding system to regulate oxygen excess at the required level to prevent oxygen starvation and obtain the maximum net power output from the PEMFC stack at different disturbance conditions. This paper proposes a fractional order fuzzy PID controller as an efficient controller for the PEMFC air feed system. The proposed controller was then employed to achieve maximum power point tracking for the PEMFC stack. The proposed controller was optimized using the neural network algorithm (NNA), which is a new metaheuristic optimization algorithm inspired by the structure and operations of the artificial neural networks (ANNs). This paper is the first application of the fractional order fuzzy PID controller to the PEMFC air feed system. The NNA algorithm was also applied for the first time for the optimization of the controllers tested in this paper. Simulation results showed the effectiveness of the proposed controller by improving the transient response providing a better set point tracking and disturbance rejection with better time domain performance indices. Sensitivity analyses were carried-out to test the robustness of the proposed controller under different uncertainty conditions. Simulation results showed that the proposed controller had good robustness against parameter uncertainty in the system.

[1]  R. Talj,et al.  Second order sliding mode control of the moto-compressor of a PEM fuel cell air feeding system, with experimental validation , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[2]  Muwaffaq I. Alomoush,et al.  Load frequency control and automatic generation control using fractional-order controllers , 2010 .

[3]  Ligang Wu,et al.  Nonlinear Control of Variable Speed Wind Turbines via Fuzzy Techniques , 2017, IEEE Access.

[4]  P. R. Pathapati,et al.  A new dynamic model for predicting transient phenomena in a PEM fuel cell system , 2005 .

[5]  Shantanu Das,et al.  A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices , 2012, Eng. Appl. Artif. Intell..

[6]  Andreas Jossen,et al.  A PSO-Optimized Fuzzy Logic Control-Based Charging Method for Individual Household Battery Storage Systems within a Community , 2018 .

[7]  Kyung Won Suh,et al.  Modeling, analysis and control of fuel cell hybrid power systems , 2006 .

[8]  Qi Li,et al.  Nonlinear controller design based on cascade adaptive sliding mode control for PEM fuel cell air supply systems , 2019, International Journal of Hydrogen Energy.

[9]  Yogesh V. Hote,et al.  Fractional order PID controller for load frequency control , 2014 .

[10]  Romeo Ortega,et al.  A controller tuning methodology for the air supply system of a PEM fuel-cell system with guaranteed stability properties , 2009, Int. J. Control.

[11]  Victor M. Sanchez,et al.  Real time control of air feed system in a PEM fuel cell by means of an adaptive neural-network , 2014 .

[12]  Seyed Abbas Taher,et al.  Fractional order PID controller design for LFC in electric power systems using imperialist competitive algorithm , 2014 .

[13]  I. Petráš Fractional Derivatives, Fractional Integrals, and Fractional Differential Equations in Matlab , 2011 .

[14]  Omar Rodríguez Álvarez,et al.  Fuzzy Logic Based MPPT Controller for a PV System , 2017 .

[15]  Vineet Kumar,et al.  Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator , 2014, Expert Syst. Appl..

[16]  K. Moore,et al.  Discretization schemes for fractional-order differentiators and integrators , 2002 .

[17]  J. Pukrushpan Modeling and control of fuel cell systems and fuel processors , 2003 .

[18]  Salah Laghrouche,et al.  Adaptive Second-Order Sliding Mode Observer-Based Fault Reconstruction for PEM Fuel Cell Air-Feed System , 2015, IEEE Transactions on Control Systems Technology.

[19]  Carlos Ocampo-Martinez,et al.  Design and implementation of LQR/LQG strategies for oxygen stoichiometry control in PEM fuel cells based systems , 2011 .

[20]  A.G. Stefanopoulou,et al.  Control of fuel cell breathing , 2004, IEEE Control Systems.

[21]  Yogendra Arya,et al.  BFOA-scaled fractional order fuzzy PID controller applied to AGC of multi-area multi-source electric power generating systems , 2017, Swarm Evol. Comput..

[22]  Hamed Beirami,et al.  Optimal PID plus fuzzy controller design for a PEM fuel cell air feed system using the self-adaptive differential evolution algorithm , 2015 .

[23]  Saptarshi Das,et al.  Fractional-order load-frequency control of interconnected power systems using chaotic multi-objective optimization , 2015, Appl. Soft Comput..

[24]  Ligang Wu,et al.  Disturbance-Observer-Based Control for Air Management of PEM Fuel Cell Systems via Sliding Mode Technique , 2019, IEEE Transactions on Control Systems Technology.

[25]  E H Law,et al.  Model-based control strategies in the dynamic interaction of air supply and fuel cell , 2004 .

[26]  Romeo Ortega,et al.  Experimental Validation of a PEM Fuel-Cell Reduced-Order Model and a Moto-Compressor Higher Order Sliding-Mode Control , 2010, IEEE Transactions on Industrial Electronics.

[27]  Carlos Bordons,et al.  Design and experimental validation of a constrained MPC for the air feed of a fuel cell , 2009 .

[28]  Anna G. Stefanopoulou,et al.  Modeling and control for PEM fuel cell stack system , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[29]  Vijay Kumar,et al.  Hybridized ABC-GA optimized fractional order fuzzy pre-compensated FOPID control design for 2-DOF robot manipulator , 2017 .

[30]  Anna G. Stefanopoulou,et al.  Control-Oriented Modeling and Analysis for Automotive Fuel Cell Systems , 2004 .

[31]  I. Podlubny Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[32]  F. Dorado,et al.  Nonlinear control of the air feed of a fuel cell , 2008, 2008 American Control Conference.

[33]  Anna G. Stefanopoulou,et al.  Current Management in a Hybrid Fuel Cell Power System: A Model-Predictive Control Approach , 2006, IEEE Transactions on Control Systems Technology.

[34]  Swagat Pati,et al.  Teaching-learning based optimization algorithm based fuzzy-PID controller for automatic generation control of multi-area power system , 2015, Appl. Soft Comput..

[35]  Saptarshi Das,et al.  Fractional Order Fuzzy Control of Hybrid Power System with Renewable Generation Using Chaotic PSO , 2016, ISA transactions.

[36]  Anupam Yadav,et al.  A dynamic metaheuristic optimization model inspired by biological nervous systems: Neural network algorithm , 2018, Appl. Soft Comput..

[37]  M. S. Abou Omar,et al.  Particle swarm optimization of fuzzy supervisory controller for nonlinear position control system , 2013, 2013 8th International Conference on Computer Engineering & Systems (ICCES).

[38]  Lalit Chandra Saikia,et al.  AGC of a multi-area thermal system under deregulated environment using a non-integer controller , 2013 .

[39]  Dong-Ji Xuan,et al.  Design and experimental implementation of time delay control for air supply in a polymer electrolyte membrane fuel cell system , 2013 .

[40]  Igor Podlubny,et al.  Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers , 1999 .

[41]  Vivekananda Mukherjee,et al.  Fractional order fuzzy PID controller for wind energy-based hybrid power system using quasi-oppositional harmony search algorithm , 2017 .

[42]  C. Ocampo‐Martinez,et al.  Novel hybrid fuzzy-PID control scheme for air supply in PEM fuel-cell-based systems , 2017 .

[43]  Sun Yi,et al.  Adaptive control for robust air flow management in an automotive fuel cell system , 2017 .

[44]  Y. Chen,et al.  Continued Fraction Expansion Approaches to Discretizing Fractional Order Derivatives—an Expository Review , 2004 .