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Decentralized Real Structured Singular Value Synthesis
IFAC Proceedings Volumes, 1996Abstract This paper describes and illustrates a practical methodology for robust, fixed-structure controller synthesis using a decentralized static output feedback problem formulation. To account for real-parameter structured uncertainty, scaled Popov bounds for the real structured singular value are employed.
R. Scott Erwin +2 more
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1999
The linear fractional transformation (LFT) is a common framework suitable for robust stability analysis using arguments based on the small gain theorem. An LFT is an interconnection of operators arranged in a feedback configuration. These operators may be constant matrices, time-domain state-space systems, or frequency-varying transfer functions ...
Rick Lind, Marty Brenner
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The linear fractional transformation (LFT) is a common framework suitable for robust stability analysis using arguments based on the small gain theorem. An LFT is an interconnection of operators arranged in a feedback configuration. These operators may be constant matrices, time-domain state-space systems, or frequency-varying transfer functions ...
Rick Lind, Marty Brenner
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Bounds on generalized structured singular values
[1992] Proceedings of the 31st IEEE Conference on Decision and Control, 2005The authors present several bounds on the structured singular value (SSV). They first adopt a generalized notion of which is useful for problems where uncertainties are assumed to be bounded in an l/sub p/-induced matrix norm. Two different types of bounds, in terms of Perron root and interaction parameters, respectively, are given for the new SSV, and
J. Chen, C.N. Nett
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Toward a structure singular value decomposition
26th IEEE Conference on Decision and Control, 1987The concept of structured singular value was introduced by Doyle [1] as a tool for the analysis and synthesis of linear control systems with structured uncertainties. It is a key to the design of control systems under joint robustness and performance specifications and it nicely complements the H? approach to control system design [2,3]. It has already
Michael K. H. Fan, Andre L. Tits
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Fixed Structure Computation of the Structured Singular Value
1993 American Control Conference, 1993This paper addresses the robest stability and performance analysis problem using a fixed structure approach of the structured singular value. Specifically, using recent results on H 2 / H ? , a Riccati equation approach is formulated for complex-? with constant D-scales along with an H 2 performance bound.
Wassim M. Haddad +2 more
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Phase-sensitive structured singular value
1999Given Γ ∈ C n ×n with Γ + Γ* ≥ 0, define the phase Φ(Γ) of Γ by $$\Phi \left( \Gamma \right) = {\cot ^{ - 1}}\left( {\sup \left\{ {b:\Gamma + \Gamma * - \frac{\beta }{j}\left( {\Gamma - \Gamma *} \right) \geqslant 0\forall \beta \in \left\{ { - b,\,b} \right\}} \right\}} \right).$$
André L. Tits, V. Balakrishnan
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On structured singular values of reciprocal matrices
Proceedings of 1995 American Control Conference - ACC'95, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yamamoto, Shigeru, Kimura, Hidenori
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Accurate Singular Value Decompositions of Structured Matrices
SIAM Journal on Matrix Analysis and Applications, 2000The author presents a new algorithm for singular value decomposition (SVD) with computational cost \(O(n^3)\) and high relative accuracy, in contrast to conventional numerical algorithms which compute SVD with high absolute accuracy. The new algorithm consists of two general steps: (i) computation of rank-revealing decomposition; (ii) computation of ...
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Analysis of Interactions using Structured Singular Values
1986 American Control Conference, 1986Multivariable controllers are often avoided in the chemical process industries in favor of simpler, diagonal or block-diagonal controllers. Such "decentralized" controllers are desirable because they result in control systems with fewer tuning parameters.
Pierre Grosdidier, Manfred Morari
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Conservatism of randomized structured singular value
IEEE Transactions on Automatic Control, 2002In this note, we study the conservatism of structured singular value computation by a randomized algorithm. It is proved that, if the maximization problem μ(M) = max ρ(MΔ) is solved by generating polynomial number of random Δ samples and then taking the maximum of the function at these sample points, for any fixed lower bound on the confidence level ...
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