Comparisons among robust stability criteria for linear systems with affine parameter uncertainties

DOI10.1016/j.automatica.2006.09.011zbMath1137.93044OpenAlexW1973086616MaRDI QIDQ875486

Guang-Hong Yang, Kai-Yew Lum

Publication date: 13 April 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.09.011

zbMATH Keywords

linear systemslinear matrix inequalitiesrobust stabilityparameter uncertaintyparameter-dependent Lyapunov function

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Lyapunov and storage functions (93D30) Robust stability (93D09) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Robust exponential converge controller design for a unified chaotic system with structured uncertainties via LMI ⋮ An asymptotically exact LMI solution to the robust discretisation of LTI systems with polytopic uncertainties and its application to sampled-data control ⋮ Robust iterative learning control for linear systems with multiple time-invariant parametric uncertainties

Uses Software

• LMI toolbox

Cites Work

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• LMI characterization of structural and robust stability
• A new robust D-stability condition for real convex polytopic uncertainty
• Stability of polytopes of matrices via affine parameter-dependent Lyapunov functions: asymptotically exact LMI conditions
• Stabilization of uncertain systems via linear control
• A linear matrix inequality approach to H_∞ control
• Linear Matrix Inequalities in System and Control Theory
• Robust performance analysis with LMI-based methods for real parametric uncertainty via parameter-dependent Lyapunov functions
• LPV system analysis via quadratic separator for uncertain implicit systems
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
• Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach