Ilchmann, Achim (Tech. Univ. of Ilmenau), Logemann, Hartmut (Univ. of Bath), Ryan, Eugene P (Univ. of Bath)

Nonlinear Systems with Input Hysteresis: Output Tracking with Prescribed Transient Behaviour

Scheduled for presentation during the Regular Session "Nonlinear Control II" (ThP05), Thursday, July 27, 2006, 17:00−17:25, Room F

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 19, 2024

Abstract

Tracking of a reference signal (assumed bounded with essentially bounded derivative) is considered for single-input, single-output, nonlinear systems, described by a functional differential equation with a hysteresis nonlinearity in the input channel. The first control objective is approximate tracking, with prescribed asymptotic accuracy, of the reference signal by the system output. The second objective is guaranteed output transient performance: the evolution of the tracking error should be contained in a prescribed performance funnel. Under mild assumptions on the system data and on the hysteresis operator, both objectives are achieved by a memoryless feedback.