An existence and regularity theorem is proved for integral equations of convolution type which contain hysteresis nonlinearities. On the basis of this result, frequency-domain stability criteria are derived for feedback systems with a linear infinite-dimensional system in the forward path and a hysteresis nonlinearity in the feedback path. These stability criteria are reminiscent of the classical circle criterion which applies to static sector-bounded nonlinearities. The class of hysteresis operators...
An existence and regularity theorem is proved for integral equations
of convolution type which contain hysteresis nonlinearities. On
the basis of this result, frequency-domain stability criteria are
derived for feedback systems with a linear infinite-dimensional
system in the forward path and a hysteresis nonlinearity in the
feedback path. These stability criteria are reminiscent of the
classical circle criterion which applies to static sector-bounded
nonlinearities. The class of hysteresis operators...
A tracking problem is considered in the context of a class of multi-input, multi-output, nonlinear systems modelled by controlled functional differential equations. The class contains, as a prototype, all finite-dimensional, linear, -input, -output, minimum-phase systems with sign-definite “high-frequency gain”. The first control objective is tracking of reference signals by the output of any system in : given , construct a feedback strategy which ensures that, for every (assumed bounded...
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
-stable, time-invariant linear system and a non-decreasing globally Lipschitz static output nonlinearity, or (b) an
-stable, time-invariant
linear system and a hysteretic output nonlinearity, guarantees, under certain assumptions, tracking...
A tracking problem is considered
in the context of a class of multi-input,
multi-output, nonlinear systems modelled by controlled functional
differential equations. The class contains, as a prototype, all
finite-dimensional, linear, -input, -output, minimum-phase
systems with sign-definite “high-frequency gain". The first control
objective is tracking of reference signals by the output of
any system in : given , construct a
feedback strategy which ensures that, for every (assumed bounded
with...
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