Balanced Truncation Model Reduction for Lifted Nonlinear Systems

Understand

We present a balanced truncation model reduction approach for a class of nonlinear systems with time-varying and uncertain inputs.

• First, our approach brings the nonlinear system into quadratic-bilinear~(QB) form via a process called lifting, which introduces transformations via auxiliary variables to achieve the specified model form.
• Second, we extend a recently developed QB balanced truncation method to be applicable to such lifted QB systems that share the common feature of having a system matrix with zero eigenvalues.
• We illustrate this framework and the multi-stage lifting transformation on a tubular reactor model.