Summary
This work presents a model order reduction technique in case when a discrete-time control law is applied to a Lur'e-type system, i.e., to a linear dynamical system with a nonlinear feedback component. It is shown that the Laplace and z-transform of the piecewise-continuous response functions can be determined analytically, which allows model order reduction to be performed on the linear component of the closed control loop. Simulations of a balancing problem verify that the proposed method can accurately model the sampling-related complex vibration phenomena and also the nonlinear characteristics of the system.
