In this paper we discuss the frequency domain performance analysis of a marginally stable linear time-invariant (LTI) system with saturation in the feedback loop. We present two methods, both based on the notion of convergent systems, that allow to evaluate the performance of this type of systems in the frequency domain. The first method uses simulation to evaluate performance, the second method is based on describing functions. For both methods we find suffcient conditions under which a frequency domain analysis can be performed. Both methods are practically validated on an electromechanical setup and a simulation model of this setup.
|Title of host publication||Dynamics and control of hybrid dynamical systems|
|Editors||G. Leonov, H. Nijmeijer, A. Pogromsky, A. Fradkov|
|Place of Publication||Singapore|
|Number of pages||246|
|Publication status||Published - 2009|
|Name||World scientific series on nonlinear science. Series B|