Authors:
Marco Dettori,
Carsten W. Scherer,
Volume: 1, Page 4187 Paper number 1524
Abstract:
This paper introduces a new robust stability and performance characterization
for parameter dependent systems. The main idea is to jointly use parameter
dependent Lyapunov functions and parameter dependent multipliers. It
is shown that the novel tests can be easily specialized to results
that have been recently proposed in the literature and that have been
derived in an independent fashion for discrete- and continuous-time
systems. It is revealed that these characterization apply to system
descriptions with rational parameter dependence, and we discuss in
how far they extend to robust state-feedback controller synthesis.
Various examples demonstrate the benefit of the proposed algorithms
over previous approaches.
Authors:
Guangdi Hu,
Edward J. Davison,
Volume: 1, Page 4193 Paper number 71
Abstract:
In this paper, the method of approach as used in Qiu and Davison (1992)
and Hu and Davison (2000) is extended to the case of delay and neutral
type quasipolynomials. We develop a unified approach to compute the
stability robustness measure of quasipolynomials in a convex set using
the framework of convex analysis. The procedure to compute the stability
robustness measure which results from this approach is easy to implement.
Finally, an example is given to demonstrate the effectiveness of this
approach.
Authors:
Sen-Jian An,
Xiheng Hu,
Branka Vucetic,
Wanquan Liu,
Volume: 1, Page 4195 Paper number 9034
Abstract:
This paper considers the parametric shifted H-infinity problems of
weighted interval plants. A sufficient condition is obtained on weighting
functions such that for any interval plants the maximal H-infinity
norm of the weighted interval plants is achieved at one of the extreme
point plants.
Authors:
L.R. Pujara,
Volume: 1, Page 4197 Paper number 54
Abstract:
A solution for the existence of a fixed order stabilizing controller
for any SISO plant (cont. or discrete) is proposed.Also ,the question
of the existence of a constant output feedback to stabilize a SIMO
or a MISO plant is also addressed.These applications are based on the
algorithm for determining the existence of a stable polynomial in a
polytope,which has recently been proposed by the author.Three numerical
examples are given to illustrate various applications.
Authors:
Sheng-Guo Wang,
Volume: 1, Page 4203 Paper number 1160
Abstract:
This paper presents a general analysis of robust pole clustering in
a good ride quality region of aircraft, a specific non-Omega-transformable
region, for uncertain matrices. The region is an intersection of a
ring and a horizontal strip, located on the left half-plane. From experiments,
it is known that the control system with poles located in this specific
region provides a good ride quality for aircraft. The paper applies
Rayleigh principle along the norm theory to analyze robust pole clustering
within this good ride quality region since the generalized Lyapunov
theory is not valid for non-Omega-transformable regions. The mainly
concerned uncertainties are unstructured uncertainties. A simple extension
of the results for structured uncertainties is also provided. Two examples
illustrate the results for a perturbed closed-loop system matrix of
F16 aircraft approximation model. The results are useful for robustness
analysis and, especially, analysis of robust good ride quality of aircra
Authors:
Yang Xiao,
Rolf Unbehauen,
Volume: 1, Page 4209 Paper number 1017
Abstract:
By relying on a two-dimensional (2-D) face test, we obtain necessary
and sufficient condition for the robust Hurwitz and Schur stability
of interval matrices. We reveal that it is impossible that there are
some isolated unstable points in the parameter space of the matrix
family, so the stability of exposed 2-D faces of an interval matrix
guarantees stability of the matrix family. Examples are given to demonstrate
the applicability of our robust stability test of interval matrices.
Authors:
Yang Xiao,
Volume: 1, Page 4215 Paper number 1021
Abstract:
The necessary and sufficient conditions of domain stability of polytopes
of 2-D polynomials have been established. The conditions are based
on edge theorem and convex directions. The number of edges to be tested
can be reduced by a testing set constructed by us. An example has been
given to demonstrate the applicability of our new approach.
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