Invariant approximations of the minimal robust positively Invariant set

From MaRDI portal
Publication:5274025

DOI10.1109/TAC.2005.843854zbMath1365.93122OpenAlexW2119974577MaRDI QIDQ5274025

Eric C. Kerrigan, Saša V. Raković, David Q. Mayne, Konstantinos I. Kouramas

Publication date: 12 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2005.843854




Related Items (only showing first 100 items - show all)

A supervisory control scheme for uncertain constrained time-delay discrete-time linear systemsTube‐based robust economic <scp>model predictive control</scp> with practical and relaxed stability guarantees and its application to smart gridA distributed model predictive control with neighborhood state feedback invariant set for reconfigurable networked systemsSurviving disturbances: a predictive control framework with guaranteed safetyThe implicit rigid tube model predictive controlRobust adaptive model predictive control for guaranteed fast and accurate stabilization in the presence of model errorsNonlinear learning‐based model predictive control supporting state and input dependent model uncertainty estimatesEvent‐triggered robust model predictive control for linear discrete‐time systems with a guaranteed average inter‐execution timeTwo-loop robust model predictive control with improved tube for industrial applicationsA linear programming approach to approximating the infinite time reachable set of strictly stable linear control systemsOutput feedback reference tracking and disturbance rejection for constrained linear systems using invariant setsRobust model-based predictive iterative learning control for systems with non-repetitive disturbancesOnline learning stochastic model predictive control of linear uncertain systemsObserver gain optimization for minimization of minimal robust positively invariant set and invariant set-based fault detectionOptimization-free robust MPC around the terminal regionCausal state-feedback parameterizations in robust model predictive controlStochastic model predictive control for linear systems with unbounded additive uncertaintiesA numerical approach to design control invariant sets for constrained nonlinear discrete-time systems with guaranteed optimalityStabilising model predictive control for discrete-time fractional-order systemsContraction-based nonlinear model predictive control formulation without stability-related terminal constraintsRobust self-triggered MPC for constrained linear systems: a tube-based approachStochastic output feedback control: convex lifting approachRobust self-triggered min-max model predictive control for discrete-time nonlinear systemsDistributed Model Predictive Control of Linear Systems with Stochastic Parametric Uncertainties and Coupled Probabilistic ConstraintsCharacterization of the solution to a constrained \(H_{\infty}\) optimal control problemRobust output feedback model predictive control of constrained linear systemsRobust economic model predictive control using stochastic informationHomothetic tube model predictive controlReliability-aware zonotopic tube-based model predictive control of a drinking water networkConstrained piecewise linear systems with disturbances: Controller designviaconvex invariant setsEvent-driven robust output feedback control for constrained linear systems via model predictive control methodProbabilistic set invariance and ultimate boundednessA framework for multiple robust explicit MPC controllers for linear systemsVertical hierarchical MPC for constrained linear systemsEconomic model predictive control for robust optimal operation of sparse storage networksOnline learning based risk-averse stochastic MPC of constrained linear uncertain systemsComputation of the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraintsRobust explicit model predictive control via regular piecewise-affine approximationConstraint admissible state sets for switched systems with average dwell timeOn the computation of convex robust control invariant sets for nonlinear systemsOptimized robust control invariance for linear discrete-time systems: theoretical foundationsRobust tube-based MPC of constrained piecewise affine systems with bounded additive disturbancesIterative method for estimating the robust domains of attraction of non-linear systems: application to cancer chemotherapy model with parametric uncertaintiesRobust satisfaction of nonlinear performance constraints using barrier-based model predictive controlPolarity of stability and robust positive invarianceInvariant convex approximations of the minimal robust invariant set for linear difference inclusionsInvariant sets of hybrid autonomous systems with disturbanceOptimal move blocking strategies for model predictive controlA computationally efficient robust tube based MPC for linear switched systemsObserver-based output feedback robust MPC via zonotopic set-membership state estimation for LPV systems with bounded disturbances and noisesOn maximal robust positively invariant sets in constrained nonlinear systemsDistributed predictive control: A non-cooperative algorithm with neighbor-to-neighbor communication for linear systemsFeedback and invariance under uncertainty via set-iteratesRobust output-feedback model predictive control for systems with unstructured uncertaintyCombinatorial methods for invariance and safety of hybrid systemsReducing variables in model predictive control of linear system with disturbances using singular value decompositionHierarchical decentralized reference governor using dynamic constraint tightening for constrained cascade systemsRobust tube-based MPC with piecewise affine control lawsInduced \(\mathcal L_{2}\) norm improvement by interpolating controllers for discrete-time LPV systemsFeasible parallel-update distributed MPC for uncertain linear systems sharing convex constraintsAnalysis of event-driven controllers for linear systemsLinear constrained moving horizon estimator with pre-estimating observerUnnamed ItemSet invariance under output feedback: a set-dynamics approachThe minimal disturbance invariant set: outer approximations via its partial sumsDistributed model predictive control based on a cooperative gameDistributed predictive control with minimization of mutual disturbancesConvex liftings-based robust control designRobust MPC via min-max differential inequalitiesA fault tolerant control scheme based on sensor–actuation channel switching and dwell timeFully parameterized tube model predictive controlPlug-and-play state estimation and application to distributed output-feedback model predictive controlA synthesis approach for output feedback robust constrained model predictive controlOutput feedback robust MPC of uncertain norm-bounded linear systems with disturbanceA discussion on sensor recovery techniques for fault tolerant multisensor schemesTube-based distributed control of linear constrained systemsInvariant sets computation for convex difference inclusions systemsSensor‐fault tolerance using robust MPC with set‐based state estimation and active fault isolationSuboptimal target control for hybrid automata using model predictive controlTrading quantization precision for update rates for systems with limited communication in the uplink channelRobust output feedback time optimal decomposed controllers for linear systems via moving horizon estimationSet-invariance characterizations of discrete-time descriptor systems with application to active mode detectionLocal stabilization of discrete-time T-S fuzzy systems with magnitude- and energy-bounded disturbancesOn invariant sets and closed-loop boundedness of Lure-type nonlinear systems by LPV-embeddingUltimate Bounds and Robust Invariant Sets for Linear Systems with State-Dependent DisturbancesRPI Approximations of the mRPI Set Characterizing Linear Dynamics with Zonotopic DisturbancesDiscussion on: ``Global regulation of input-saturated discrete-time linear systems subject to persistent disturbancesModel Predictive Control – Numerical Methods for the Invariant Sets ApproximationOn stochastic linear systems with zonotopic support setsCharacterisation of interval-observer fault detection and isolation properties using the set-invariance approachA zonotopic set-invariance analysis of replay attacks affecting the supervisory layerA novel dual-mode robust model predictive control approach via alternating optimizationsFault tolerant control design for a class of multi-sensor networked control systemsReal-time model predictive control based on dual gradient projection: Theory and fixed-point FPGA implementationRobust output feedback model predictive control of constrained linear systems: time varying caseStabilizing predictive control with persistence of excitation for constrained linear systemsModel-invariant viability kernel approximationRobust Output Feedback Interpolation Based Control for Constrained Linear SystemsRobust economic model predictive control of nonlinear networked control systems with communication delaysOutput feedback receding horizon control of constrained systems




This page was built for publication: Invariant approximations of the minimal robust positively Invariant set