ACC'09 Proceedings of the 2009 conference on American Control Conference
SIAM Journal on Control and Optimization
Comparative Results on Stabilization of the Quad-rotor Rotorcraft Using Bounded Feedback Controllers
Journal of Intelligent and Robotic Systems
Automatica (Journal of IFAC)
Brief Paper: Global Control of Linear Systems with Saturating Actuators
Automatica (Journal of IFAC)
Brief Input-to-state stability for a class of Lurie systems
Automatica (Journal of IFAC)
Asymptotic tracking of a reference state for systems with a feedforward structure
Automatica (Journal of IFAC)
Brief Finite gain stabilization of discrete-time linear systems subject to actuator saturation
Automatica (Journal of IFAC)
Analysis of linear systems in the presence of actuator saturation and L2-disturbances
Automatica (Journal of IFAC)
Brief Robust nonlinear disturbance suppression of a magnetic levitation system
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Path Following for a Target Point Attached to a Unicycle Type Vehicle
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
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This paper deals with (global) finite-gain input/output stabilization of linear systems with saturated controls. For neutrally stable systems, it is shown that the linear feedback law suggested by the passivity approach indeed provides stability, with respect to every $L^p$-norm. Explicit bounds on closed-loop gains are obtained, and they are related to the norms for the respective systems without saturation.These results do not extend to the class of systems for which the state matrix has eigenvalues on the imaginary axis with nonsimple (size $1$) Jordan blocks, contradicting what may be expected from the fact that such systems are globally asymptotically stabilizable in the state-space sense; this is shown in particular for the double integrator.