Journal ArticleDOI
Robust pole assignment in linear state feedback
TLDR
Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback such that the sensitivity of the assigned poles to perturbations in the system and gain matrices is minimized.Abstract:
Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback. The solutions obtained are such that the sensitivity of the assigned poles to perturbations in the system and gain matrices is minimized. It is shown that for these solutions, upper bounds on the norm of the feedback matrix and on the transient response are also minimized and a lower bound on the stability margin is maximized. A measure is derived which indicates the optimal conditioning that may be expected for a particular system with a given set of closed-loop poles, and hence the suitability of the given poles for assignment.read more
Citations
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Robust Model-Based Fault Diagnosis for Dynamic Systems
Jie Chen,Ron J. Patton +1 more
TL;DR: Robust Model-Based Fault Diagnosis for Dynamic Systems targets both newcomers who want to get into this subject, and experts who are concerned with fundamental issues and are also looking for inspiration for future research.
Journal ArticleDOI
Robust pole placement in LMI regions
TL;DR: Discusses analysis and synthesis techniques for robust pole placement in linear matrix inequality (LMI) regions, a class of convex regions of the complex plane that embraces most practically useful stability regions, and describes the effectiveness of this robust pole clustering technique.
Journal ArticleDOI
Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems
Wen-Jun Cao,Jian-Xin Xu +1 more
TL;DR: This note presents a new nonlinear integral-type sliding surface which incorporates a virtual nonlinear nominal control to achieve prescribed specifications and demonstrates the validity of the proposed concept.
Journal ArticleDOI
Inverse Eigenvalue Problems
TL;DR: A collection of inverse eigenvalue problems are identified and classified according to their characteristics, and current developments in both the theoretic and the algorithmic aspects are summarized and reviewed.
Journal ArticleDOI
On condition numbers and the distance to the nearest III-posted problem
TL;DR: In this paper, it was shown that the condition number κ satisfies one or both of the diffrential inequalitiesm ·κ2≤∥Dκ∥≤M·κ2, where "Dκ" is the norm of the gradient of κ.
References
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The algebraic eigenvalue problem
TL;DR: Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues of matrices of condensed forms The LR and QR algorithms Iterative methods Bibliography.
Book
Linear Multivariable Control: A Geometric Approach
TL;DR: In this article, the authors present an approach to controlability, feedback assignment, and pole shifting in a single linear functional model, where the observer is assumed to be a dynamic observer.
Book
Matrix Eigensystem Routines - Eispack Guide
TL;DR: Eispack as discussed by the authors is an Eispack subroutine that uses handbook algol procedures to validate and validate EISPACKs and is used for EisPacks.
Journal ArticleDOI
The generalized eigenstructure problem in linear system theory
TL;DR: The numerical aspects of a certain class of such algorithms-dealing with what the author calls generalized eigenstructure problems-are discussed and some new and/or modified algorithms are presented.
Book
Introduction to Mathematical Control Theory
TL;DR: The best concise account of the basic mathematical aspects of control has been brought completely up to date while retaining its focus on state-space methods and its emphasis on points of mathematical interest.