Proceedings ArticleDOI
H/sub /spl infin// controller design for systems with circulant symmetry
N. Denis,D.P. Looze +1 more
- Vol. 3, pp 3144-3149
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TLDR
In this paper, the development of computational techniques for systems with circulant symmetry using H/sub /spl infin// synthesis is presented. But the focus of this paper is not on the computational complexity, but on the control of the system.Abstract:
The high dimensionality of large systems can cause conventional control techniques fail to give reasonable solutions with reasonable computational efforts. Many large systems encountered in practice are composed of subsystems with similar dynamics interconnected symmetrically. The analysis and control of a large system with such features can take advantage of the structural properties to achieve computational simplifications of the overall problem. The focus of this paper is the development of computational techniques for systems with circulant symmetry using H/sub /spl infin// synthesis.read more
Citations
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Distributed Control for Identical Dynamically Coupled Systems: A Decomposition Approach
Paolo Massioni,Michel Verhaegen +1 more
TL;DR: This paper considers the problem of designing distributed controllers for a class of systems which can be obtained from the interconnection of a number of identical subsystems, and derives a procedure for designing a distributed controller which has the same interconnection pattern as the plant.
Journal ArticleDOI
Subspace identification of circulant systems
Paolo Massioni,Michel Verhaegen +1 more
TL;DR: A novel identification algorithm forcirculant systems based on subspace identification is presented and will both reduce the complexity of the problem as well as provide models which have a circulant structure that can be exploited for control design.
Decomposition methods for distributed control and identification
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Proceedings ArticleDOI
Block circulant control: A geometric approach
TL;DR: It is shown that several classic control synthesis problems are amenable to a structured synthesis, and the findings suggest that structured systems naturally admit structured controllers.
Journal ArticleDOI
Control of a class of patterned systems
TL;DR: These findings suggest that patterned systems naturally admit patterned controllers, and show that several classic control problems are amenable to a patterned synthesis.
References
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TL;DR: In this article, simple state-space formulas are derived for all controllers solving the following standard H/sub infinity / problem: for a given number gamma > 0, find all controllers such that the H/ sub infinity / norm of the closed-loop transfer function is (strictly) less than gamma.
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Journal ArticleDOI
Simplifying the H∞ theory via loop-shifting, matrix-pencil and descriptor concepts
TL;DR: In this article, the 2-Riccati H∞ controller formulae and derivations are simplified via various loop-shifting transformations that are naturally expressed in terms of a degree-one polynomial system matrix (PSM) closely related to the Luenberger descriptor form of a system.