Bounds on Prediction Error When Using an Impulse Response/Equilibrium Model Structure
This work provides theoretical guarantees for the IREM model structure, which is relevant for control engineers working with mildly nonlinear systems like battery fast charging.
This paper establishes observability conditions and prediction error bounds for the Impulse Response/Equilibrium Model (IREM) structure, which combines linear convolution with a nonlinear function for operating point setting. These conditions are directly evaluable from the system's impulse response.
An impulse response/equilibrium model (IREM) structure combines a linear convolution model with a nonlinear function that sets the current operating point via an equilibrium variable with integrator dynamics. This model structure is well suited for mildly nonlinear systems and in particular has been applied to battery fast charging control. This paper provides observability conditions for the IREM model structure and bounds on the prediction error. These conditions can be evaluated directly on the system impulse response.