Novel LMI conditions for observer-based stabilization of Lipschitzian nonlinear systems and uncertain linear systems in discrete-time

DOI10.1016/j.amc.2008.05.150zbMath1152.93315OpenAlexW2022817829MaRDI QIDQ2378672

Salim Ibrir, Sette Diop

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.05.150

zbMATH Keywords

convex optimizationlinear matrix inequalitiessystem theoryflexible joint robotsdiscrete-time observer-based control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Observability (93B07)

Related Items (13)

Robust observer‐based stabilization of Lipschitz nonlinear uncertain systems via LMIs ‐ discussions and new design procedure ⋮ Robust observer-based control designs for discrete nonlinear systems with disturbances ⋮ Enhanced LMI conditions for observer-based \(\mathcal H_\infty\) stabilization of Lipschitz discrete-time systems ⋮ Robust stability analysis based on LMI for haptic interface systems with uncertain delay ⋮ Observer-based quantized control of nonlinear systems with input saturation ⋮ Robust output feedback sliding mode control for uncertain discrete time systems ⋮ Observer-based control of a class of time-delay nonlinear systems having triangular structure ⋮ Robust preview control for a class of uncertain discrete-time Lipschitz nonlinear systems ⋮ Robust observer and observer-based control designs for discrete one-sided Lipschitz systems subject to uncertainties and disturbances ⋮ A robust ℋ∞ observer-based stabilization method for systems with uncertain parameters and Lipschitz nonlinearities ⋮ Dynamic observer-based controllers for linear uncertain systems ⋮ Robust reference tracking and transient response shaping of a class of nonlinear systems ⋮ Observer-based stabilisation of linear systems with parameter uncertainties by using enhanced LMI conditions

Cites Work

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• Linear Matrix Inequalities in System and Control Theory
• Observers for Lipschitz nonlinear systems
• A robust state observer scheme
• Output feedback H_∞ control of systems with parameter uncertainty
• Robust Observer-Based Control of Systems With State Perturbations Via LMI Approach
• Effects of using observers on stabilization of uncertain linear systems

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