Regional \(\mathcal{L}_{2 m}\) gain analysis for linear saturating systems

DOI10.1016/j.automatica.2016.10.030zbMath1352.93081OpenAlexW2560456207MaRDI QIDQ503158

Giorgio Valmorbida, Andrea Garulli, Luca Zaccarian

Publication date: 11 January 2017

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.10.030

zbMATH Keywords

saturationsum-of-squaresconstrained systems\(\mathcal{L}_{2 m}\) gain

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Cites Work

• Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations
• On assigning the derivative of a disturbance attenuation control Lyapunov function
• Stability and Stabilization of Linear Systems with Saturating Actuators
• Antiwindup design with guaranteed regions of stability: an LMI-based approach
• Stability and Performance for Saturated Systems via Quadratic and Nonquadratic Lyapunov Functions
• Global Stability and FiniteL₂m-Gain of Saturated Uncertain Systems via Piecewise Polynomial Lyapunov Functions
• Control systems with actuator saturation: analysis and design