\({\mathcal L}_2\) gain analysis for a class of switched systems

DOI10.1016/j.automatica.2008.10.021zbMath1162.93355OpenAlexW2099566533MaRDI QIDQ1023362

Haijun Fang, Zongli Lin, Liang Lu

Publication date: 11 June 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2008.10.021

zbMATH Keywords

disturbance rejectionswitched systemsactuator saturationset invariance\(\mathcal L_2\) gaindisturbance tolerance

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (16)

Stability and \(L_\infty\)-gain analysis for positive switched systems with time-varying delay under state-dependent switching ⋮ Finite-time stability analysis of impulsive switched discrete-time linear systems: the average Dwell time approach ⋮ Output feedback passification of saturated switched systems under the improved state-dependent switching ⋮ Finite-time stability analysis of impulsive discrete-time switched systems with nonlinear perturbation ⋮ Stabilization of impulsive switched linear systems with saturated control input ⋮ Finite time stability and \(L_2\)-gain analysis for switched linear systems with state-dependent switching ⋮ Multiple event‐triggered schemes for a class of switched descriptor systems with asynchronous switching ⋮ Robust exponential stabilization and L₂‐gain analysis for saturated switched nonlinear systems subject to actuator failure under asynchronous switching ⋮ Control synthesis of discrete-time switched linear systems with input saturation based on minimum dwell time approach ⋮ Stabilisation for switched linear systems with time-varying delay and input saturation ⋮ Robust stabilisation andL₂-gain analysis for switched systems with actuator saturation under asynchronous switching ⋮ L₂-gain analysis and control synthesis of uncertain switched linear systems subject to actuator saturation ⋮ Global stabilisation of switched nonlinear systems inp-normal form with mixed odd and even powers ⋮ L₂-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation ⋮ L₂‐gain analysis and anti‐windup design of switched linear systems subject to input saturation ⋮ Event-triggered control for switched systems in the presence of actuator saturation

Cites Work

• Unnamed Item
• Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems
• Switched linear systems. Control and design.
• Analysis of linear systems in the presence of actuator saturation and \(\mathcal L_2\)-disturbances
• Disturbance tolerance and rejection of linear systems with imprecise knowledge of actuator input output characteristics
• H/sub ∞/-almost disturbance decoupling with internal stability for linear systems subject to input saturation
• Strong $n$-generators and the rank of some Noetherian one-dimensional integral domains
• Disturbance attenuation for systems with input saturation: An LMI approach
• Basic problems in stability and design of switched systems
• On the continuity and incremental‐gain properties of certain saturated linear feedback loops
• Design of Switched Linear Systems in the Presence of Actuator Saturation
• A switching algorithm for global exponential stabilization of uncertain chained systems
• Controllability of switched bilinear systems
• Control systems with actuator saturation: analysis and design

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