Simultaneous \(L_{p}\)-stabilization and internal stabilization of linear systems subject to input saturation -- state feedback case

DOI10.1016/0167-6911(95)99124-9zbMath0877.93101OpenAlexW2179864338MaRDI QIDQ673048

Ali Saberi, Andrew R. Teel, Zongli Lin

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6911(95)99124-9

zbMATH Keywords

global stabilizationLinear systemssimultaneous stabilization\(L_{p}\)-stabilizationInput saturationInternal stabilizationLow-and-high-gain state feedback

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05)

Related Items (11)

Control of discrete-time systems with actuator non-linearities: An LMI approach ⋮ Suboptimal control of constrained nonlinear systems via receding horizon constrained control Lyapunov functions ⋮ Actuator amplitude saturation control for systems with exogenous disturbances ⋮ The almost disturbance decoupling problem with internal stability for linear systems subject to input saturation. -- State feedback case ⋮ $L_p$-Stabilization of Integrator Chains Subject to Input Saturation Using Lyapunov-Based Homogeneous Design ⋮ On theL^p-stabilization of the double integrator subject to input saturation ⋮ Scheduled controllers for linear systems with bounded actuators. ⋮ Simultaneous semi-global \(L_p\)-stabilization and asymptotical stabilization for singular systems subject to input saturation ⋮ Finite gain stabilization of discrete-time linear systems subject to actuator saturation ⋮ An overview of the development of low gain feedback and low-and-high gain feedback ⋮ Positive invariant set estimation of adaptive controller in the presence of input saturation

Cites Work

• Semi-global exponential stabilization of linear discrete-time systems subject to input saturation via linear feedbacks
• Semi-global exponential stabilization of linear systems subject to ``input saturation via linear feedbacks
• Global stabilization and restricted tracking for multiple integrators with bounded controls
• Output regulation for linear systems subject to input saturation
• Families of linear-quadratic problems: Continuity properties
• In-the-large stability of relay and saturating control systems with linear controllers

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