Control of linear systems subject to input constraints: A polynomial approach.

DOI10.1016/S0005-1098(00)00193-XzbMath1034.93039MaRDI QIDQ5932276

Didier Henrion, Vladimír Kučera, Sophie Tarbouriech

Publication date: 4 December 2001

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

linear systemsconvex programminginput constraintspolynomial methods

Mathematics Subject Classification ID

Semidefinite programming (90C22) Convex programming (90C25) Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55)

Related Items (9)

Constrained regulator problem for linear uncertain systems: control of a pH process ⋮ Constrained control and rate or increment for linear systems with additive disturbances ⋮ Stabilization under constrained states and controls of positive systems with time delays ⋮ Polynomial approach to the control of SISO periodic systems subject to input constraint. ⋮ Regulator problem for linear systems with constraints on control and its increment or rate ⋮ Discussion on: ``Feedback stabilization of infinite-dimensional linear systems with constraints on control and its rate ⋮ LMIs for constrained polynomial interpolation with application in trajectory planning ⋮ Trajectory planning/re-planning for satellite systems in rendezvous mission in the presence of actuator faults based on attainable efforts analysis ⋮ Controller synthesis for switched positive linear systems by output feedback

Uses Software

• Qhull
• Polynomial Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semi-global exponential stabilization of linear systems subject to ``input saturation via linear feedbacks
• Applications of second-order cone programming
• A class of invariant regulators for the discrete-time linear constrained regulation problem
• Piecewise-linear robust control of systems with input constraints
• A unified framework for the study of anti-windup designs
• Linear programming: foundations and extensions
• Control of uncertain systems with bounded inputs
• Set invariance in control
• A new CAD method and associated architectures for linear controllers
• Feedback control of linear discrete-time systems under state and control constraints
• Linear systems with state and control constraints: the theory and application of maximal output admissible sets
• Modern Wiener-Hopf design of optimal controllers--Part II: The multivariable case
• On invariant polyhedra of continuous-time linear systems
• A general result on the stabilization of linear systems using bounded controls
• Linear Matrix Inequalities in System and Control Theory
• Linear systems with bounded inputs: global stabilization with eigenvalue placement
• Polyhedral regions of local stability for linear discrete-time systems with saturating controls
• Output feedback robust stabilization of uncertain linear systems with saturating controls: an LMI approach
• A Set Induced Norm Approach to the Robust Control of Constrained Systems
• A chronological bibliography on saturating actuators
• A reduced-order framework applied to linear systems with constrained controls
• Semidefinite Programming

This page was built for publication: Control of linear systems subject to input constraints: A polynomial approach.