Stabilisation of polytopic singularly perturbed linear systems

DOI10.1080/00207179.2011.641128zbMath1282.93181OpenAlexW2020894238MaRDI QIDQ5745561

Ivan Malloci, Jamal Daafouz

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1080/00207179.2011.641128

zbMATH Keywords

linear matrix inequalitieslinear parameter-varying systemssingular perturbation theoryparameter-dependent Lyapunov functions

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Adaptive or robust stabilization (93D21)

Related Items (2)

\(H_\infty\) control of discrete-time singularly perturbed systems via static output feedback ⋮ LP approach to exponential stabilization of singular linear positive time-delay systems via memory state feedback

Uses Software

• LMI toolbox

Cites Work

• Filter design for LPV systems using quadratically parameter-dependent Lyapunov functions
• Control of nonstationary LPV systems
• Linear Matrix Inequalities in System and Control Theory
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Dynamical systems which undergo switching
• H/sub 2/ guaranteed cost control for singularly perturbed uncertain systems
• Stability and Stabilization of Two Time Scale Switched Systems in Discrete Time
• LPV systems with parameter-varying time delays: Analysis and control
• Research on gain scheduling
• LPV control and full block multipliers
• Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties

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