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Design of Robust PID Controllers for SOFC Stacks

PID controllers represent the most frequently used feedback structure, especially in industrial applications. With an appropriate design of the individual controller parameters, they guarantee both stability and a good transient behavior, and they offer a clearly interpretable structure. Problems may arise in safety-critical applications, especially if the real system is subject to model uncertainty. In this paper, a model-based PID controller is considered for the power control of a solid oxide fuel cell, where safety aspects are highly relevant. Two alternative design models, a linear model and a nonlinear Hammerstein model, are used for the control design. For both models, a PID controller parametrization is determined that meets robust performance specifications using a multiplicative output uncertainty description. Simulation results point out the benefits of the nonlinear structure based on the Hammerstein model.