Phase Limitations of Multipliers for Nonlinearities With Monotone Bounds
Year: 2024
Type: article
Abstract: We consider Lurye systems, whose nonlinear operator is characterized by a nonlinearity that is bounded above and below by monotone functions. Absolute stability can be established using a subclass of the O'Shea–Zames–Falb multipliers. We develop phase conditions for both continuous-time and discrete-time systems under which there can be no such suitable multiplier for the transfer function of a given plant. In discrete time the condition can be tested via a linear program, while in continuous time it can be tested efficiently by exploiting convex structure. Results provide useful insight into the dynamic behavior of such systems and we illustrate the phase limitations with examples from the literature.
Authors: William P. Heath, Joaquin Carrasco
Institutions: Bangor University, University of Manchester
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403447059