Proceedings ArticleDOI
On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment
B. Moore
- Vol. 21, Iss: 5, pp 689-692
TLDR
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.Abstract:
A characterization is given for the class of all closed loop eigenvector sets which can be obtained with a given set of distinct closed loop eigenvalues using state feedback. It is shown, furthermore, that the freedom one has in addition to specifying the closed loop eigenvalues is precisely this: to choose one set of closed loop eigenvectors from this class. Included in the proof of this result is an algorithm for computing the matrix of feedback gains which gives the chosen closed loop eigenvalues and eigenvectors. A design scheme based on these results is presented which gives the designer considerable freedom to choose the distribution of the modes among the output components. One interesting feature is that the distribution of a mode among the output components can be varied even if the mode is not controllable.read more
Citations
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Journal ArticleDOI
Multivariable feedback design: Concepts for a classical/modern synthesis
John Doyle,Gunter Stein +1 more
TL;DR: This paper presents a practical design perspective on multivariable feedback control problems and generalizes known single-input, single-output (SISO) statements and constraints of the design problem to multiinput, multioutput (MIMO) cases.
Journal ArticleDOI
A survey of linear singular systems
TL;DR: In this paper, a brief historical review of linear singular systems is presented, followed by a survey of results on their solution and properties, and the frequency domain and time domain approaches are discussed together to sketch an overall picture of the current status of the theory.
Journal ArticleDOI
Survey paper: Static output feedback-A survey
TL;DR: Although many approaches and techniques exist to approach different versions of the static output feedback problem in the control of linear, time-invariant systems, no efficient algorithmic solutions are available.
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
Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations
TL;DR: A new framework for the analysis and synthesis of control systems, which constitutes a genuine continuous-time extension of results that are only available in discrete time, and offers new potentials for problems that cannot be handled using earlier techniques.
References
More filters
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
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.
Journal ArticleDOI
A theory of modal control
J. D. Simon,Sanjoy K. Mitter +1 more
TL;DR: This paper presents a complete and rigorous theory of modal control as well as recursive algorithms which permit modal controlled systems to be realized.
Journal ArticleDOI
On the stabilization of linear systems
TL;DR: In this paper, Romanenko called the system (A, b) stabilizable if for any nonempty set S of n+1 or less complex numbers there exist p and q such that the system A, b is stable.