Authors:
Michael Cantoni,
Glenn Vinnicombe,
Volume: 1, Page 1918 Paper number 1784
Abstract:
In this paper, a new technique for discretising linear time-invariant
(LTI) feedback controllers is proposed. The resulting sampled-data
(SD) approximation is guaranteed to lie within a pointwise gap distance,
closely related to the nu-gap metric, from the original LTI controller.
Importantly, this permits explicit characterisation of possible degradation
in closed-loop performance (accounting for stability and inter-sample
behaviour.) It is shown that SD approximation, to within a bound on
the pointwise gap metric defined, can be posed as a standard H-infinity
SD synthesis problem, which may be solved via existing methods.
Authors:
Zhang Ren,
Jie Chen,
Shinji Hara,
Li Qiu,
Volume: 1, Page 1924 Paper number 1563
Abstract:
In this paper we study tracking performance limitation problems. Two
issues are addressed, concerning how earlier results developed elsewhere
may be extended to more general classes of reference signals, and how
tracking performance may be further improved beyond that offered by
feedback control. Toward these issues we consider exponentially increasing
reference inputs and examine the use of preview control for tracking.
We take an optimal interpolation approach, and our purpose is to develop
analytical expressions and conceptual insight which will aid in the
understanding of these issues. To this effect, we derive explicit expressions
for the optimal tracking error, either as exact solutions or bounds.
It is found that for the exponential signals the earlier results can
be directly extended, and similar conclusive statements can be drawn.
It is also shown that in general preview can be used to advantage for
improving tracking performance, especially in countering the effect
resulted from plant nonminimum phase zeros.
Authors:
Vladimir Suplin,
Uri Shaked,
Volume: 1, Page 1930 Paper number 1362
Abstract:
A robust H_(infinity) control method is applied to the design of
loop filters for digital phase locked loop carrier phase tracking.
The proposed method successfully copes with large S-curve slope uncertainty
and with a significant decision delay in the closed loop that may stems
from the decoder and/or the equalizer there. The design problem is
transformed into a state-feedback control problem where phase and gain
margins should be guaranteed in spite of the uncertainty. Of all the
loop filters that achieve the required margins the one that minimizes
an upper-bound on the effect of the phase and the measurement noise
signals is derived.
Authors:
Anna-Karin Christiansson,
Bengt Lennartson,
Hannu T Toivonen,
Volume: 1, Page 1936 Paper number 1773
Abstract:
We present a unified and general framework for H_(infinity)-control
in both continuous time, discrete time and combinations of these. The
general result is a hybrid continuous-/discrete-time H_(infinity)-controller.
Using a compact hybrid notation, the work shows a close relationship
between the continuous- and discrete-time solutions. In fact, the pure
continuous and discrete time equations may be obtained as two similar
interpretations of the general result. There are no assumptions made
on certain system matrices being zero or normalised, e.g D_11=0. The
method is Riccati equation (RE) based and it is shown how the continuous
REs can be ``lifted'' into discrete ones reflecting the system behaviour
during the period. Typical applications are control of continuous-time
or discrete-time periodic systems, as well as multirate and sampled-data
control, including mixed continuous and sampled-data measurements.
Authors:
Ian R. Petersen,
Volume: 1, Page 1942 Paper number 1036
Abstract:
This paper introduces a notion of observability for a class of uncertain
linear systems with structured uncertainty described by averaged integral
quadratic constraints. The paper presents an algorithm for finding
the robust observability function and corresponding unobservable manifold.
Authors:
Elena Panteley,
Antonio Loría,
Volume: 1, Page 1948 Paper number 1124
Abstract:
We present sufficient conditions for uniform exponential stability
of families of linear time varying (LTV) systems. That is, LTV systems
characterized by certain parameter. Our conditions are in the form
of classical concepts in adaptive control, such as persistency of excitation.
However, our proofs are based on modern tools which can be interpreted
as an ``integral'' version of Lyapunov theorems; rather than on the
concept of uniform complete observability which is most common in the
literature. Uniformity is established in both, the initial conditions
of the system, and the parameter which characterizes each system of
the `family'. Key words: Robust stability and stabilization, observability,
model reference adaptive control, persistency of excitation.
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