2 edition of Eigenvalue/eigenvector assignment using output feedback found in the catalog.
Eigenvalue/eigenvector assignment using output feedback
by National Aeronoautics and Space Administration, Scientific and Technical Information Office, for sale by the National Technical Information Office in [Washington], Springfield, Va
Written in English
|Series||NASA technical paper ; 1118, NASA technical paper -- 1118.|
|Contributions||United States. National Aeronautics and Space Administration. Scientific and Technical Information Office.|
|The Physical Object|
|Pagination||29 p. :|
|Number of Pages||29|
A new method for calculating derivatives of eigenvalues and eigenvectors for discrete structural systems. Journal of Sound and Vibration, Vol. , No. 7 Assignment of eigenvalue sensitivities from receptance measurements. Optimal output feedback using dyadic decomposition. Eigenvector derivatives for doubly repeated by: I solved most of this assignment using Python, but not sure how to input (or even understand) the remaining information. Aren't you supposed to find the eigenvector given some eigenvalue, thus it python matrix eigenvalue eigenvector.
A new method for calculating derivatives of eigenvalues and eigenvectors for discrete structural systems. Journal of Sound and Vibration, Vol. , No. 7 Assignment of eigenvalue sensitivities from receptance measurements. Optimal output feedback using dyadic by: First, a new eigenstructure assignment algorithm is developed to more directly suppress vibration in regions of interest. This algorithm is featured by the optimal selection of achievable eigenvectors that minimizes the eigenvector components at concerned region by using the Rayleigh by:
SIAM Journal on Matrix Analysis and Applications , Abstract | PDF ( KB) () Iterative computation of derivatives of repeated eigenvalues and the corresponding by: Helicopters, aircraft and missiles are just some of the practical multivariable control systems to which eigenstructure assignment has been applied in recent years. Liu and Patton offer a uniquely integrated introduction to eigenstructure assignment theory and techniques for multi-input multi-output control system design. Features include: Introduction to the Eigenstructure Assignment .
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Lemma 1: For system (C,A,B), max(m,r) eigenvalues can be assigned using output feedback. The analysis so far indicates that only max(m,r) eigenvalues can be assigned to the system using output feedback.
However, by sacrificing some degree of freedom in the selection of the associated eigenvectors it is possibleFile Size: 1MB. Eigenvalue/eigenvector assignment using output feedback.
[Washington]: National Aeronoautics and Space Administration, Scientific and Technical Information Office ; Springfield, Va.: For sale by the National Technical Information Office, (OCoLC) Material Type: Government publication, National government publication: Document.
This analy- sis yields the following well-known result (ref. Lemma 1 ; For system (C,A,B), max(m,r) eigenvalues can be assigned using output feedback.
The analysis so far Indicates that only max(m,r) eigenvalues can be assigned to the system using output feedback. Abstract: This note generalizes the previous results of the closed-loop eigenstructure assignment via output feedback in linear multivariable systems.
Necessary and sufficient conditions for the closed-loop eigenstructure assignment by output feedback are presented. Some known results on entire eigenstructure assignment are deduced from this result.
Brecce Bianche, Ancona, Italy Abstract. An output periodic feedback is proposed for the robust eigenvalue assignment of linear, time-invariant, discrete-time systems. The condition numbers characterizing the eigenstructure of the closed-loop system are assumed as a robustness : S.
Longhi, G. Orlando, R. Zulli. Abstract. The problem of pole-assignment in a linear time-invariant multivariable system using output feedback is considered. New sufficient conditions are derived Eigenvalue/eigenvector assignment using output feedback book assign an almost arbitrary set of min (n, m+r-1) distinct eigenvalues, where n, m, and r are the number of states, inputs, and outputs, : S.
Srinathkumar. An eigenvalue/eigenvector assignment algorithm using stationary output feedback is presented. The algorithm permits assignment of min (n, m + r - 1) eigenvalues and max (m-1, r-1) eigenvectors, where n, m, r refer to the system state, input and output Author: S. Liberty and R.
Mielke. Output Feedback Algebraic Multiplicity Eigenvalue Spectrum Generalize Eigenvector Multivariable System These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm : A. Salama. () An alternative solution to the problem of pole assignment by static output feedback.
IFAC Proceedings Volumes() Eigenvalue Assignment by Static Output by: eigenvalue assignment using state feedback control for linear time-invariant multi-input multi-output (MIMO) systems. Since then, numerous methods and algorithms involving both state and output feedback control have been developed to exercise those degrees of freedom to give the systems some good performance characteristics.
Some 20 years ago,File Size: KB. An approach to partial quadratic eigenvalue assignment of damped vibration systems using static output feedback Working Paper (PDF Available). This paper addresses the problem of the partial eigenvalue assignment for second-order damped vibration systems by static output feedback.
The. The problem of simultaneous assignment of closed-loop eigenvalues and eigenvectors using constant complete state-feedback controller is discussed. It is shown that for a given nth-order multivariable system not necessarily completely controllable, associated with every point. λ in the complex plane, there exists a well-defined subspace (in the n-dimensional Cited by: An approach for eigenvalue assignment in linear descriptor systems via output feedback is proposed.
Sufficient conditions in order that a given set of eigenvalues is assignable are established. Parametric form of the desired output feedback gain matrix is also given. The approach assigns the full number of generalised eigenvalues, guarantees the closed-loop Cited by: 6.
The output feedback eigenvalue assignment problem for discrete-time systems is considered. The problem is formulated first as an unconstrained minimization problem, where a three-term nonlinear conjugate gradient method is proposed to find a local : El-Sayed M. Mostafa, Abdallah W.
Aboutahoun, Fatma F. Omar. Eigenvalue Assignment with Ill-Conditioned Eigenvalues. Since the matrix H and the closed-loop matrix H – e 1 f T differ only by the first row, Algorithm amounts to finding a vector f such that, when the first row of the given Hessenberg matrix H is replaced by f T, the resulting new Hessenberg matrix has the prescribed spectrum.
(NASA-TM) EFFICIENT EIGENVALUE ASSIGNMENT BY STATE AND _UTPUT FEEDBACK WITH APPLICATIGNS FOR LARGE SPACE STRUCTURES (NASA. Lan_)|ey Research Center) 69 p G3/18 N Unclas Efficient Eigenvalue Assignment by State and Output Feedback with Applications for Large Space Structures Eric C.
Vannell. Shapiro, E. Y., and Chung, J. C.,Application of Eigenvalue/Eigenvector Assignment by Constant Output Feedback to Flight Control System Design, Paper Presented at the Conference on Information Sciences and Systems, Johns Hopkins University, Baltimore, Maryland, Cited by: 3.
The design procedure proposed by Srinathkumar and Rhoten for eigenvalue/eigenvector assignment is reinterpreted and its relationship to the matrix pseudoinverse is pointed out. An eigenvalue/eigenvector assignment method for output feedback control of nth-order n-input m-output (m?n) systems is also presented.
Geometric interpretation of state-space equations Cited by: EIGENVALUES AND EIGENVECTORS Deﬁnition Let A be an n × n matrix. A scalar λ is said to be a eigenvalue of A, if Ax = λx for some vector x 6= 0. The vector x is called an eigenvector corresponding to λ.
The zero vector 0 is never an eigenvectors, by deﬁnition. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Based on a recently proposed parametric approach for eigenstructure assignment in descriptor linear systems via output feedback, the robust ei-genvalue assignment problem in descriptor linear systems via output feed-back is solved.
The problem aims to assign a set of finite closed .2 Eigenstructure assignment characterisation + Show details-Hide details p.
11 –20 (10) In this chapter, the eigenstructure synthesis using state variable feedback has been analysed. It is shown that the solution scheme is simple and just involves solving a set of linear equations to synthesise each eigenvector for a specified by: 1.A was found by using the eigenvalues of A, not by multiplying matrices.
Those eigenvalues (here they are 1 and 1=2) are a new way to see into the heart of a matrix. To explain eigenvalues, we ﬁrst explain eigenvectors.
Almost all vectors change di-rection, when they are multiplied by A. Certain exceptional vectors x are in the same File Size: KB.