Discrete-time systems with linear parameter-varying: Stability and \({\mathcal H}_\infty\)-filtering

DOI10.1016/S0022-247X(02)00017-3zbMath1004.93004OpenAlexW2030726741MaRDI QIDQ1604612

Magdi S. Mahmoud

Publication date: 8 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00017-3

zbMATH Keywords

stabilityLyapunov functionsfilteringparametric uncertaintyestimatorrobust observationdiscrete-time linear dynamical systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Observability (93B07)

Related Items (5)

H∞ Constraint Pareto Optimal Strategy for Stochastic LPV Systems ⋮ LMI approach to robust \(\mathcal H_{\infty}\) filtering for neutral delay differential systems. ⋮ An observer-based controller design for nonlinear discrete-time switched systems with time-delay and affine parametric uncertainty ⋮ H_∞filtering for a class of switched linear parameter varying systems ⋮ Robust \(H^\infty\) performance analysis and synthesis of discrete-time LPV systems

Uses Software

• LMI toolbox

Cites Work

• A robust stability problem for discrete-time systems subject to an uncertain parameter
• All controllers for the general \({\mathcal H}_ \infty\) control problem: LMI existence conditions and state space formulas
• Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback
• Self-scheduled \({\mathcal H}_ \infty\) control of linear parameter-varying systems: A design example
• State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
• H/sub infinity / analysis and synthesis of discrete-time systems with time-varying uncertainty
• Linear Matrix Inequalities in System and Control Theory
• A note on quadratic stability of uncertain linear discrete-time systems
• A convex characterization of gain-scheduled H/sub ∞/ controllers
• Affine parameter-dependent Lyapunov functions and real parametric uncertainty

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