Journal ArticleDOI
Eigenvalue-generalized eigenvector assignment with state feedback
TLDR
In this article, a characterization of generalized eigenvector chains can be obtained with a given set of nondistinct eigenvalues, and an algorithm for computing a feedback matrix which gives the selected closed-loop eigen values and generalized eigvector chains.Abstract:
In a recent paper [1], a characterization has been given for the class of all closed-loop eigenvector sets which can be obtained with a given set of distinct closed-loop eigenvalues. This note extends these results to characterize the class of generalized eigenvector chains which can be obtained with a given set of nondistinct eigenvalues. Included is an algorithm for computing a feedback matrix which gives the selected closed-loop eigenvalues and generalized eigenvector chains. Although there are limitations on the Jordan structure of the closed-loop system, this algorithm allows one to realize any "allowable" closed-loop Jordan configuration.read more
Citations
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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.
Eigenstructure Assignment for Linear Systems
TL;DR: The use of feedback (full state, output, and constrained output) is considered as a means of shaping the transient response of linear time invariant systems.
Journal ArticleDOI
Eigenstructure Assignment for Linear Systems
TL;DR: In this paper, the use of feedback (full state, output, and constrained output) is considered as a means of shaping the transient response of linear time invariant systems and the underlying importance of the eigenstructure (eigenvalues/eigenvectors) is highlighted.
Journal ArticleDOI
Two approaches to hyperplane design in multivariable variable structure control systems
C. M. Dorling,Alan S. I. Zinober +1 more
Journal ArticleDOI
Robust compliant motion for manipulators, part II: Design method
TL;DR: It is proved that a special class of impedances that represent the set of performance specifications are mathematically achievable asymptotically through state-feedback and interaction-force feedforward as actuator bandwidths become large, and a geometrical design method for achieving them in the presence of model uncertainties is offered.
References
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Journal ArticleDOI
Robust Estimation of a Location Parameter
TL;DR: In this article, a new approach toward a theory of robust estimation is presented, which treats in detail the asymptotic theory of estimating a location parameter for contaminated normal distributions, and exhibits estimators that are asyptotically most robust (in a sense to be specified) among all translation invariant estimators.
Proceedings ArticleDOI
On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment
TL;DR: In this article, a characterization of all closed loop eigenvector sets which can be obtained with a given set of distinct closed-loop eigenvalues using state feedback is given.
Journal ArticleDOI
On robust procedures
TL;DR: In this paper, a procedure for finding robust estimators of the location parameter of symmetric unimodal distributions is discussed, based on robust rank tests and the methods used are applicable to other one parameter problems.
On a minimax estimate for the mean of a normal random vector under a generalized
Tamer Basar,Max Mintz +1 more
Journal ArticleDOI
On a Minimax Estimate for the Mean of a Normal Random Vector Under a Generalized Quadratic Loss Function
Tamer Basar,Max Mintz +1 more
TL;DR: In this paper, an admissible minimax estimate for the mean of a normal random vector with known covariance is derived for a generalized quadratic loss function using the method of least favorable prior distributions.