Min-max model predictive control of nonlinear systems: a unifying overview on stability

DOI10.3166/ejc.15.5-21zbMath1298.93291OpenAlexW2070768496MaRDI QIDQ468278

Daniel Limon, Lalo Magni, Mircea Lazar, Eduardo Fernández Camacho, Davide Martino Raimondo

Publication date: 6 November 2014

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle//11441/94143

zbMATH Keywords

robust controlinput-to-state stabilitynonlinear model predictive control

Mathematics Subject Classification ID

Related Items (26)

Robust MPC suitable for closed-loop re-identification, based on probabilistic invariant sets ⋮ Robust self-triggered min-max model predictive control for discrete-time nonlinear systems ⋮ Multirate sliding mode disturbance compensation for model predictive control ⋮ A new robust MPC using an approximate convex hull ⋮ Self-triggered adaptive model predictive control of constrained nonlinear systems: a min-max approach ⋮ Robust model predictive control for constrained continuous-time nonlinear systems ⋮ Stable and robust LQR design via scenario approach ⋮ Robust model predictive control of uncertain nonlinear time‐delay systems via control contraction metric technique ⋮ An approach to output-feedback MPC of stochastic linear discrete-time systems ⋮ Optimal tracking control for blast furnace molten iron quality based on subspace identification and Krotov's method ⋮ Robust nonlinear model predictive control based on nominal predictions with piecewise constant references and bounded disturbances ⋮ Robust constrained nonlinear model predictive control with gated recurrent unit model ⋮ Dual‐mode robust model predictive control for the tracking control of nonholonomic mobile robot ⋮ A self-triggered stochastic model predictive control for uncertain networked control system ⋮ Simultaneous moving horizon estimation and control for nonlinear systems subject to bounded disturbances ⋮ Stability properties of multi-stage nonlinear model predictive control ⋮ Inherent robustness properties of quasi-infinite horizon nonlinear model predictive control ⋮ Simultaneous nonlinear model predictive control and state estimation ⋮ Dynamics modeling and attitude stabilization control of a multiarmed space robot for on-orbit servicing ⋮ A chance-constrained stochastic model predictive control problem with disturbance feedback ⋮ Approximate model predictive control laws for constrained nonlinear discrete-time systems: analysis and offline design ⋮ Robust output feedback model predictive control for constrained linear systems via interval observers ⋮ Event-based model predictive control for nonlinear systems with dynamic disturbance ⋮ Robust economic model predictive control of nonlinear networked control systems with communication delays ⋮ Approximate model predictive control laws for constrained nonlinear discrete-time systems: analysis and offline design ⋮ A predictive approach to adaptive fuzzy sliding-mode control of under-actuated nonlinear systems with input saturation

Cites Work

• Unnamed Item
• On characterizations of the input-to-state stability property
• Nonlinear small-gain theorems for discrete-time feedback systems and applications
• Examples when nonlinear model predictive control is nonrobust
• Optimization over state feedback policies for robust control with constraints
• Input to state stability of min-max MPC controllers for nonlinear systems with bounded uncertainties
• Dual-receding horizon control of constrained discrete time systems
• Asymptotic stability equals exponential stability, and ISS equals finite energy gain -- if you twist your eyes.
• Robust hybrid predictive control of nonlinear systems
• Constrained model predictive control: Stability and optimality
• Model predictive control. With a foreword by M. J. Grimble and M. A. Johnson
• On input-to-state stability of min-max nonlinear model predictive control
• Quadratic stabilisation with \(h_{\infty }\)-norm bound of non-linear discrete-time uncertain systems with bounded control
• Input-to-state stable finite horizon mpc for neutrally stable linear discrete-time systems with input constraints
• Control of constrained dynamic systems
• State and output feedback nonlinear model predictive control: an overview
• Input to state stability properties of nonlinear systems and applications to bounded feedback stabilization using saturation
• Robust receding horizon control of constrained nonlinear systems
• Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution
• Min-max feedback model predictive control for constrained linear systems
• Suboptimal model predictive control (feasibility implies stability)
• New characterizations of input-to-state stability
• Robust model predictive control for nonlinear discrete‐time systems
• Cooperative Constrained Control of Distributed Agents With Nonlinear Dynamics and Delayed Information Exchange: A Stabilizing Receding-Horizon Approach
• Robustness and Robust Design of MPC for Nonlinear Discrete-Time Systems
• Min-max model predictive control of nonlinear systems using discontinuous feedbacks
• A note on input-to-state stabilization for nonlinear sampled-data systems
• An Almost Global Notion of Input-to-State Stability
• Constrained min-max predictive control: modifications of the objective function leading to polynomial complexity
• Regional Input-to-State Stability for Nonlinear Model Predictive Control
• Nominally Robust Model Predictive Control With State Constraints
• Decentralized MPC of nonlinear systems: An input‐to‐state stability approach
• A receding-horizon approach to the nonlinear \(H_{\infty}\) control problem
• Input-to-state stability for discrete-time nonlinear systems

This page was built for publication: Min-max model predictive control of nonlinear systems: a unifying overview on stability