Static output feedback stabilization of uncertain rational nonlinear systems with input saturation

DOI10.1016/j.sysconle.2022.105359zbMath1501.93114arXiv2107.01085OpenAlexW3179643794MaRDI QIDQ2086983

Diego de S. Madeira, Valessa V. Viana, Thiago Alves Lima, Ricardo C. L. F. Oliveira

Publication date: 26 October 2022

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

Full work available at URL: https://arxiv.org/abs/2107.01085

zbMATH Keywords

linear matrix inequalitiesrobust controldissipativitystatic output feedbackcontrol saturationrational nonlinear systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Robust stability (93D09)

Related Items (1)

Dissipativity-based conditions for the feedback stabilization of systems with time-varying input delays

Uses Software

• Sostools
• YALMIP
• Mosek
• GitHub

Cites Work

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• Stabilization of a class of nonlinear systems with actuator saturation via active disturbance rejection control
• Design of state-feedback control for polynomial systems with quadratic performance criterion and control input constraints
• Dissipative dynamical systems. II: Linear systems with quadratic supply rates
• Iterative LMI approach to robust static output feedback control of uncertain polynomial systems with bounded actuators
• LMI stability conditions for uncertain rational nonlinear systems
• Regional stabilisation of polynomial non-linear systems using rational Lyapunov functions
• The stability of nonlinear dissipative systems
• Linear Matrix Inequalities in System and Control Theory
• System analysis via integral quadratic constraints
• Regional robust stabilisation and domain-of-attraction estimation for MIMO uncertain nonlinear systems with input saturation
• Semidefinite Programming
• Stability and Stabilization of Linear Systems with Saturating Actuators
• An LMI-Based Algorithm to Compute Robust Stabilizing Feedback Gains Directly as Optimization Variables
• Optimal Control for Polynomial Systems Using Matrix Sum of Squares Relaxations
• LMI Techniques for Optimization Over Polynomials in Control: A Survey
• Necessary and Sufficient Dissipativity-Based Conditions for Feedback Stabilization
• State-Feedback Design for Nonlinear Saturating Systems
• Computing Output Feedback Controllers to Enlarge the Domain of Attraction in Polynomial Systems
• Ellipsoidal sets for resilient and robust static output-feedback
• Convergent Relaxations of Polynomial Matrix Inequalities and Static Output Feedback
• Design of Polynomial Control Laws for Polynomial Systems Subject to Actuator Saturation
• Dissipative Systems Analysis and Control
• ℒ︁₂‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs
• Controller and anti‐windup co‐design for the output regulation of rational systems subject to control saturation

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