Journal ArticleDOI
Eigenstructure assignment in descriptor systems
TLDR
In this paper, coordinate free conditions are given for pole assignment by feedback in linear descriptor (singular) systems which guarantee closed-loop regularity, and these conditions are shown to be both necessary and sufficient for assignment of the maximum possible number of finite poles.Abstract:
Coordinate free conditions are given for pole assignment by feedback in linear descriptor (singular) systems which guarantee closed-loop regularity. These conditions are shown to be both necessary and sufficient for assignment of the maximum possible number of finite poles. Transformation to special coordinates are not used and the results provide a robust algorithm for the computation of the required feedback.read more
Citations
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Journal ArticleDOI
Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems
TL;DR: A simple complete analytical restriction-free parametric solution with complete and explicit freedom of matrix equation AV + BW = EVF is presented and an approach for eigenstructure assignment for continuous descriptor system Ex = Ax + Bu via descriptor-variable feedback u = Kx is proposed.
Journal ArticleDOI
On the solution to the Sylvester matrix equation AV+BW=EVF
TL;DR: A simple, direct, complete and explicit parametric solution of the generalized Sylvester matrix equation AV+BW=EVF is proposed for matrix F in the Jordan form with arbitrary eigenvalues using the Smith canonical form of the matrix.
Journal ArticleDOI
Regularization of descriptor systems by derivative and proportional state feedback
TL;DR: It is shown that derivative and proportional feedback controls can be constructed such that the closed loop system has a given form and is also regular and has index at most 1 and ensures the solvability of the resulting system of dynamic-algebraic equations.
Book ChapterDOI
Controllability of Linear Differential-Algebraic Systems—A Survey
Thomas Berger,Timo Reis +1 more
TL;DR: In this article, different concepts related to controllability of differential-algebraic equations are described and defined in the time domain and equivalent criteria that generalize the Hautus test are presented and proved.
Journal ArticleDOI
Feedback design for regularizing descriptor systems
Angelika Bunse-Gerstner,Ralph Byers,Ralph Byers,Volker Mehrmann,Volker Mehrmann,Volker Mehrmann,Nancy Nichols,Nancy Nichols +7 more
TL;DR: In this paper, numerical techniques for the regularization of descriptor (generalized state-space) systems by proportional and derivative feedback are surveyed, along with definitions of regularity and index in terms of the Weierstras canonical form.
References
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Journal ArticleDOI
Robust pole assignment in linear state feedback
TL;DR: 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.
Journal ArticleDOI
Feedback and pole placement in descriptor variable Systems
TL;DR: In this paper, the effects and uses of applying linear feedback to continuous time descriptor systems are studied and structural changes resulting from feeding back the slow and fast parts of the trajectory separately are characterized.
Journal ArticleDOI
Properties of linear time-invariant multivariable systems subject to arbitrary output and state feedback
Edward J. Davison,S. Wang +1 more
TL;DR: In this paper, it was shown that for any linear time-invariant multivariable system which is both completely controllable and completely observable, almost all output feedback laws can be used to make the closed-loop system's poles be disjoint from any given finite set of points on the complex plane.
Journal ArticleDOI
Eigenvalue placement for generalized linear systems
TL;DR: In this paper, it was shown that controllability of the infinite eigenvalues of the pencil ( sE − A ) is equivalent to the existence of a state feedback map which assigns those eigen values to pre-specified complex numbers.
Journal ArticleDOI
Regularizability of descriptor systems
TL;DR: In this article, a necessary and sufficient condition for the existence of an output feedback with closed-loop regularity is presented, where the condition is that there should not be an infinity of solutions for any initial condition.