Journal ArticleDOI
Commutative controller: a new technique for the design of multivariable control systems
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TLDR
A multivariable feedback controller may be synthetised by first designing a set of single-loop controllers for these characteristic systems, and then transforming the results to obtain the required multivariably controller.Abstract:
If a linear time-invariant multiple-input multiple-output plant is represented by a square transfer-function matrix G(s), a spectral analysis may be carried out to determine a set of system characteristic transfer functions. A multivariable feedback controller may then be synthetised by first designing a set of single-loop controllers for these characteristic systems, and then transforming the results to obtain the required multivariable controller.read more
Citations
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Journal ArticleDOI
A heuristic approach to the design of linear multivariable interacting control systems
TL;DR: In this paper, the authors proposed an approach to determine an input-output pairing configuration and controller settings guaranteeing a practically satisfactory disturbance attenuation for linear, interacting multivariable control systems.
Journal ArticleDOI
Survey paper: A survey of some recent results in linear multivariable feedback theory
TL;DR: In this paper, a review of multivariable feedback system design techniques from the frequency-response viewpoint is given, including a comparison of the advantages and disadvantages of each type of design method, including Non-Interacting Control, Modal Control, Optimal Control, Commutative Control, The Inverse Nyquist Array and The Characteristic Locus.
Journal ArticleDOI
H∞ Controller design for spectral MIMO models by convex optimization☆
TL;DR: In this paper, a new method for robust H∞ controller design by convex optimization for multivariable systems is investigated, where the diagonal elements of the controller are tuned to satisfy the desired performances, while simultaneously, the off-diagonal elements are designed to decouple the system.
Proceedings ArticleDOI
H ∞ controller design for spectral MIMO models by convex optimization
TL;DR: It is shown that the Generalized Nyquist Stability criterion can be approximated by a set of convex constraints with respect to the parameters of a multivariable linearly parameterized controller in the Nyquist diagram.
Proceedings ArticleDOI
Triangularization technique for the design of multivariable control systems
Nguyen Hung,Brain O. Anderson +1 more
TL;DR: In this article, a stable and proper precompensator is determined for a multivariable plant such that the compensated plant transfer function matrix is triangular and diagonally dominant in a nonstandard way.
References
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Journal ArticleDOI
Computational Methods of Linear Algebra
Book
Topics in algebra
TL;DR: In this paper, the authors propose preliminary notions of group theory and group theory for group spaces and modules, including linear transformations and vector spaces. But they do not discuss group theory.
Journal ArticleDOI
Computational methods of linear algebra
D. K. Faddeev,V. N. Faddeeva +1 more
TL;DR: A survey of computational methods in linear algebra can be found in this article, where the authors discuss the means and methods of estimating the quality of numerical solution of computational problems, the generalized inverse of a matrix, the solution of systems with rectangular and poorly conditioned matrices, and more traditional questions such as algebraic eigenvalue problems and systems with a square matrix.