Logemann, Hartmut (Univ. of Bath), Ryan, Eugene P (Univ. of Bath), Shvartsman, Ilya (Univ. of Bath)

Integral Control of Systems with Hysteresis

Scheduled for presentation during the Mini-Symposium "Distributed Parameter Systems-II: Control of Infinite-Dimensional Systems" (TuA06), Tuesday, July 25, 2006, 11:15−11:40, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 27, 2023

Abstract

This paper is concerned with integral control of systems with hysteresis. Using an input-output approach, it is shown that application of integral control to the series interconnection of either (a) a hysteretic input nonlinearity, an $L^2$-stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an $L^2$-stable, time-invariant linear system and a hysteretic output nonlinearity, guarantees, under certain assumptions, tracking of constant reference signals, provided the positive integrator gain is smaller than a certain constant determined by a positivity condition in the frequency domain. The input-output results are applied in a general state-space setting wherein the linear component of the interconnection is a well-posed infinite-dimensional system.