Linear matrix inequalities in robustness analysis with multipliers

DOI10.1016/0167-6911(94)00087-CzbMath0877.93083MaRDI QIDQ673057

Juan-Miguel Gracia

Publication date: 28 February 1997

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

Linear matrix inequalitiesConvex optimizationRobustness analysisMultipliersPassivity theorem

Mathematics Subject Classification ID

Convex programming (90C25) Linear inequalities of matrices (15A39) Robust stability (93D09)

Related Items (14)

Robust stability and performance analysis based on integral quadratic constraints ⋮ Aircraft control with anti-windup compensation ⋮ Duality bounds in robustness analysis ⋮ Duality and basis functions for robust \({\mathcal H}_2\)-performance analysis ⋮ Factorization of multipliers in passivity and IQC analysis ⋮ Multiplier-based robust \(H_\infty\) design with time-varying uncertainties ⋮ Methods for suppressing nonlinear oscillations in astatic auto-piloted aircraft control systems ⋮ Computation of stability robustness bounds for linear discrete-time systems with time-varying parametric uncertainties ⋮ Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings ⋮ Nonsmooth µ-synthesis ⋮ Robust stability and performance analysis of uncertain systems using linear matrix inequalities ⋮ Gain-Scheduling Control With Dynamic Multipliers by Convex Optimization ⋮ Sampling method for semidefinite programmes with non-negative Popov function constraints ⋮ Circle and Popov criteria as tools for nonlinear feedback design.

Cites Work

• The small-gain theorem, the passivity theorem and their equivalence
• Dissipative dynamical systems. I: General theory
• Robustness in the presence of mixed parametric uncertainty and unmodeled dynamics
• Linear Matrix Inequalities in System and Control Theory
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