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Journal ArticleDOI

Eigenstructure Assignment: A Survey:

B A White
- Vol. 209, Iss: 1, pp 1-11
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TLDR
Recent developments such as parameter uncertainty robustness and hybrid eigenstructure assignment/H∞ control are examined in the recent literature, together with some suggestions for future research.
Abstract
This paper surveys the field of eigenstructure assignment literature from the early 1960s to the present. The eigenstructure assignment problem is first defined as the assignment of eigenvectors within an eigenspace associated with each eigenvalue. Four broad approaches to eigenstructure assignment are identified: the protection method, the parametric method, the projection method and the orthogonal eigenvector method. The major papers for each method are described in a common nomenclature and the techniques discussed. Recent developments such as parameter uncertainty robustness and hybrid eigenstructure assignment/H∞ control are examined in the recent literature, together with some suggestions for future research. The survey includes over 140 important references.

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Citations
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Journal Article

Optimization and pole assignment in control system design

TL;DR: In this article, the authors used some elementary optimization techniques, together with some not so well-known robustness measures and condition numbers, for pole assignment and showed that the method converges to a local minimum with respect to the condition number.
Journal ArticleDOI

Pole assignment via the schur form

TL;DR: The algorithm is the first of its kind, making direct use of the Schur form, and minimizing the departure from normality of the closed-loop poles for a given first Schur vector x 1 so that the robust pole assignment problem can be solved via choosing x 1 optimally.
Journal ArticleDOI

Missile autopilot design using quasi-LPV polynomial eigenstructure assignment

TL;DR: In this article, the design of a missile autopilot over its flight envelop using quasi-linear parameter-varying polynomial eigenstructure assignment (PEA) is presented.
Journal ArticleDOI

Neural computation for robust approximate pole assignment

TL;DR: This paper provides an approach for output feedback robust approximate pole assignment formulated as an unconstrained optimization problem and solved via the gradient flow approach which is ideally suited for neural computing implementation.
Dissertation

Steering Based Lateral Performance Control of Long Heavy Vehicle Combinations

TL;DR: In this article, a generic controller for improving the lateral performance of heavy vehicle combinations by active steering of the towed units is developed, which can be easily implemented on steerable trailers; since it utilizes common sensors for steering input, speed and yaw rates and does not require large computing capacity.
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

On pole assignment in multi-input controllable linear systems

TL;DR: In this paper, it was shown that controllability of an open-loop system is equivalent to the possibility of assigning an arbitrary set of poles to the transfer matrix of the closed loop system, formed by means of suitable linear feedback of the state.
Journal ArticleDOI

Decoupling in the design and synthesis of multivariable control systems

TL;DR: The characterization of φ of all feedback matrices which decouple the system is characterized to determine the number of closed-loop poles which can be specified for the decoupled system and to develop a synthesis technique for the realization of desired closed- loop pole configurations.
Journal ArticleDOI

Pole assignment by gain output feedback

TL;DR: In this article, it was shown that if the system is controllable and observable, and if n \leq r + m - 1, an almost arbitrary set of distinct closed-loop poles is assignable by gain output feedback, where n, r, and m are the numbers of state variables, inputs and outputs, respectively.

Eigenstructure Assignment for Linear Systems

A. N. Andry
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.