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SIAMCO
2010

Tracking with Prescribed Transient Performance for Hysteretic Systems

11 years 1 months ago
Tracking with Prescribed Transient Performance for Hysteretic Systems
Tracking of reference signals (assumed bounded with essentially bounded derivative) is considered for a class of 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 tracking, by the output, with prescribed accuracy: determine a feedback strategy which ensures that, for every reference signal and every system of the underlying class, the tracking error ultimately satisfies the prescribed accuracy requirements. The second objective is guaranteed output transient performance: the graph of the tracking error should be contained in a prescribed set (performance funnel). Under a weak sector boundedness assumption on the hysteresis operator, both objectives are achieved by a memoryless feedback which is universal for the underlying class of systems. Key words. disturbance rejection, functional differential equations, hysteresis, nonlinear systems, tracking, transient...
Achim Ilchmann, Hartmut Logemann, Eugene P. Ryan
Added 21 May 2011
Updated 21 May 2011
Type Journal
Year 2010
Where SIAMCO
Authors Achim Ilchmann, Hartmut Logemann, Eugene P. Ryan
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