Authors:
Andras Varga,
Volume: 1, Page 4655 Paper number 4201
Abstract:
We present a unifying computational framework to solve robust pole
assignment problems for linear systems using state feedback. The new
framework uses Sylvester equation based parametrizations of the pole
assignment problems. The non-uniqueness of solutions is exploited by
minimizing additionally sensitivity of closed-loop eigenvalues and
the norm of the corresponding state feedback matrix. The solution methods
rely on using gradient search based minimization techniques on suitably
defined cost functions. The discussion of main functional and numerical
aspects reveals many desirable features of the underlying algorithms
which recommend them to serve as bases for robust numerical software
implementations.
Authors:
Biswa Datta,
Yitshak Ram,
Daniil Sarkissian,
Volume: 1, Page 4661 Paper number 4203
Abstract:
This paper presents a novel solution to the partial eigenvalue assignment
problem of a an undamped gyroscopic distributed parameters system.
The partial eigenvalue assignment problem is the problem of reassigning
by feedback a few bad eigenvalues of the open-loop operator pencil
while leaving the remaining infinite number of eigenvalues unchanged.
The distinctive practical features of our solution are (i) it requires
solution of only a small finite dimensional linear algebraic system
and knowledge of only a small finite number of eigenvalues and eigenvectors
of the infinite dimensional open-loop operator pencil, (ii) no spill-over
occurs; that is, the remaining infinite number of eigenvalues and eigenvectors
that are required to remain invariant will remain in their places and,
(iii) it is obtained completely in distributed parameter setting and
no discretization to second-order system of differential equations
is invoked so that vital inherent properties of the original system
are fully preserved. Because of the above mentioned practical features,
the proposed solution is readily applicable to stabilize or to combat
the effects of dangerous vibrations in a large structure.
Authors:
Ali H. Sayed,
Volume: 1, Page 4666 Paper number 4204
Abstract:
This paper develops a robust estimation procedure for state-space models
with parametric uncertainties. Compared with existing robust filters,
the proposed filter performs data regularization rather than de-regularization.
It is shown that, under certain stabilizability and detectability conditions,
the steady-state filter is stable and that, for quadratically-stable
models, it guarantees a bounded error variance.
Authors:
Xiang Rao,
Kyle A. Gallivan,
Paul van Dooren,
Volume: 1, Page 4672 Paper number 4205
Abstract:
In this paper we discuss the stabilization of large scale linear time
invariant dynamical systems via feedback. Efficient schemes based
on the Discrete Riccati Difference Equation are presented.
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