Necessary and sufficient stability criterion for systems with structured uncertainties: the major principal direction alignment principle

DOI10.1080/00207178508933384zbMath0592.93052OpenAlexW1969569978MaRDI QIDQ3722384

Haniph A. Latchman, Basil Kouvaritakis

Publication date: 1985

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178508933384

zbMATH Keywords

multivariable systemssingular valueprincipal directionsbounded perturbationsnecessary and sufficient stability criterion

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Eigenvalues, singular values, and eigenvectors (15A18) Perturbations of ordinary differential equations (34D10)

Related Items (9)

Uncertainty and interaction of linear multivariable feedback systems ⋮ Design of full state feedback finite-precision controllers ⋮ Necessary and sufficient stability conditions for the case of dependent additive perturbations ⋮ Frequency response characteristics of MIMO GPC† ⋮ Robustness analysis with full-structured uncertainties ⋮ Linear matrix inequality conditions for robustness and control design ⋮ Branch-point placement ⋮ Unnamed Item ⋮ Calculation of highly structured stability margins

Cites Work

• Optimally scaled matrices
• Robustness tests for feedback control systems using multidimensional uncertainty bounds
• Multivariable frequency domain controller for magnetic suspension and balance systems
• Singular-value and eigenvalue techniques in the analysis of systems with structured perturbations
• Characterization of "Allowable perturbations" for robust stability
• The generalized Nyquist stability criterion and multivariable root loci
• A design technique for linear multivariable feedback systems

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