An improvement to the low gain design for discrete-time linear systems in the presence of actuator saturation nonlinearity

DOI<117::AID-RNC462>3.0.CO;2-W 10.1002/(SICI)1099-1239(200003)10:3<117::AID-RNC462>3.0.CO;2-WzbMath0958.93037OpenAlexW1984827507MaRDI QIDQ4954297

Ravi Mantri, Zongli Lin, Ali Saberi, Anton A. Stoorvogel

Publication date: 1 April 2001

Full work available at URL: https://doi.org/10.1002/(sici)1099-1239(200003)10:3<117::aid-rnc462>3.0.co;2-w

zbMATH Keywords

input saturationactuator saturationlow-gain feedbackerror feedback regulatorlow-gain designnonlinear state feedback regulatorsemi-global output regulation

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73)

Related Items (7)

A constrained tracking control algorithm for linear systems based on a spline‐type parameter‐dependent Lyapunov function ⋮ Low‐gain integral control for a class of discrete‐time Lur'e systems with applications to sampled‐data control ⋮ Simultaneous global external and internal stabilization of linear time-invariant discrete-time systems subject to actuator saturation ⋮ An LMI based scheduling algorithm for constrained stabilization problems ⋮ Nonlinear regulation in constrained input discrete-time linear systems ⋮ Control of discrete‐time periodic linear systems with input saturation via multi‐step periodic invariant sets ⋮ Adaptive tracking control for uncertain switched systems under asynchronous switching

Cites Work

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• The Linear Multivariable Regulator Problem
• A general result on the stabilization of linear systems using bounded controls
• Output regulation for linear discrete-time systems subject to input saturation
• Semi-global stabilizability of linear null controllable systems with input nonlinearities
• A semi‐global low‐and‐high gain design technique for linear systems with input saturation—stabilization and disturbance rejection
• Control of linear systems with saturating actuators
• Semiglobal stabilization of linear discrete-time systems subject to input saturation, via linear feedback-an ARE-based approach
• In-the-large stability of relay and saturating control systems with linear controllers

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