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 L2-stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an L2-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.
Original language | English (US) |
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Pages (from-to) | 458-483 |
Number of pages | 26 |
Journal | ESAIM - Control, Optimisation and Calculus of Variations |
Volume | 13 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2007 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Control and Optimization
- Computational Mathematics