Robust analysis and control of parameter-dependent uncertain descriptor systems

DOI10.1016/j.sysconle.2011.03.001zbMath1215.93039OpenAlexW2036854665MaRDI QIDQ539920

Gabriela Iuliana Bara

Publication date: 31 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.03.001

zbMATH Keywords

slack variablesdilated linear matrix inequalities (LMIs)linear continuous-time descriptor systemsparameter-dependent Lyapunov functionsparameter-dependent uncertain descriptor systemspolytopic and affine time-varying parameter-dependent uncertainties

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

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Admissibility analysis of discrete linear time-varying descriptor systems ⋮ Robust performance analysis of linear discrete-time systems in presence of colored noise ⋮ Homogeneous polynomial Lyapunov functions for the analysis of polytopic parameter-dependent descriptor systems ⋮ H∞ model following control of linear parameter‐varying descriptor systems ⋮ Positivity of discrete singular systems and their stability: an LP-based approach ⋮ Robust stability and stabilization for singular time-delay systems with linear fractional uncertainties: a strict LMI approach ⋮ Robust PI-D controller design for descriptor systems using regional pole placement and/or $H_2$ performance ⋮ Output-feedback stabilization of singular LPV systems subject to inexact scheduling parameters ⋮ Positive real control for discrete-time singular systems with affine parameter dependence ⋮ Control design for a class of nonlinear parameter varying systems ⋮ Robust and nonlinear control literature survey (No. 25)

Cites Work

• Singular control systems
• \(H_ \infty\) control for descriptor systems: A matrix inequalities approach
• Robustness of uncertain descriptor systems
• New dilated LMI characterizations for continuous-time multiobjective controller synthesis
• A survey of linear singular systems
• A new discrete-time robust stability condition
• Robust filtering for uncertain linear discrete-time descriptor systems
• A dilated LMI approach to robust performance analysis of linear time-invariant uncertain systems
• The linear-quadratic optimal regulator for descriptor systems
• An algebraic approach to the robust stability analysis and robust stabilization of uncertain singular systems
• RobustH_∞control for uncertain descriptor systems by proportional–derivative state feedback
• Linear Matrix Inequalities in System and Control Theory
• Robust C-controllability and/or C-observability for uncertain descriptor systems with interval perturbations in all matrices
• Continuous-time analysis, eigenstructure assignment, and H/sub 2/ synthesis with enhanced linear matrix inequalities (LMI) characterizations
• New Positive Realness Conditions for Uncertain Discrete Descriptor Systems: Analysis and Synthesis
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty
• Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions
• On the Lyapunov theorem for singular systems
• Robust Stability and Stabilization of Discrete Singular Systems: An Equivalent Characterization
• A Descriptor System Approach to Robust Stability Analysis and Controller Synthesis
• Robust normalization and stabilization of Uncertain Descriptor systems with norm-Bounded Perturbations