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Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

最优化与控制 · 数学 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

The problem of achieving a good trade-off in Stochastic Model Predictive Control between the competing goals of improving the average performance and reducing conservativeness, while still guaranteeing recursive feasibility and low…

最优化与控制 · 数学 2016-06-21 Matthias Lorenzen , Frank Allgöwer , Fabrizio Dabbene , Roberto Tempo

For mechanical systems we present a controller able to track an unknown smooth signal, converging in finite time and by means of a continuous control signal. The control scheme is insensitive against unknown perturbations with bounded…

系统与控制 · 计算机科学 2015-12-01 Jaime A. Moreno

For nonlinear discrete time systems satisfying a controllability condition, we present a stability condition for model predictive control without stabilizing terminal constraints or costs. The condition is given in terms of an analytical…

最优化与控制 · 数学 2012-04-02 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

We consider sampled-data Model Predictive Control (MPC) of nonlinear continuous-time control systems. We derive sufficient conditions to guarantee recursive feasibility and asymptotic stability without stabilising costs and/or constraints.…

最优化与控制 · 数学 2021-03-03 Willem Esterhuizen , Karl Worthmann , Stefan Streif

The paper considers constrained linear systems with stochastic additive disturbances and noisy measurements transmitted over a lossy communication channel. We propose a model predictive control (MPC) law that minimizes a discounted cost…

最优化与控制 · 数学 2020-05-08 Shuhao Yan , Mark Cannon , Paul Goulart

We consider the stability of Robust Optimization problems with respect to perturbations in their uncertainty sets. We focus on Linear Optimization problems, including those with a possibly infinite number of constraints, also known as…

最优化与控制 · 数学 2015-09-23 Timothy C. Y. Chan , Philip Allen Mar

We propose a new model predictive control (MPC) approach which is completely based on an observer for the state system. For this, we show semiglobally practically asymptotic stability of the closed loop for an abstract observer and…

最优化与控制 · 数学 2011-05-18 Jürgen Pannek , Marcus von Lossow

We establish a collection of closed-loop guarantees and propose a scalable optimization algorithm for distributionally robust model predictive control (DRMPC) applied to linear systems, convex constraints, and quadratic costs. Via standard…

最优化与控制 · 数学 2024-11-13 Robert D. McAllister , Peyman Mohajerin Esfahani

This paper develops a technique for computing a quadratic terminal cost for linear model predictive controllers that is valid for all states in the maximal control invariant set. This maximizes the set of recursively feasible states for the…

最优化与控制 · 数学 2024-06-06 Mikael Johansson , Hamed Taghavian

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

系统与控制 · 电气工程与系统科学 2025-09-04 J. Wehbeh , E. C. Kerrigan

Classical discrete-time adaptive controllers provide asymptotic stabilization. While the original adaptive controllers did not handle noise or unmodelled dynamics well, redesigned versions were proven to have some tolerance; however,…

最优化与控制 · 数学 2017-11-28 Daniel E. Miller

Many popular approaches in the field of robust model predictive control (MPC) are based on nominal predictions. This paper presents a novel formulation of this class of controller with proven input-to-state stability and robust constraint…

系统与控制 · 电气工程与系统科学 2022-02-22 Ignacio Alvarado , Pablo Krupa , Daniel Limon , Teodoro Alamo

We present a novel nonlinear model predictive control (MPC) scheme with relaxed stability criteria, based on the idea of generalized discrete-time control Lyapunov functions. These functions need to satisfy an average descent over a finite…

最优化与控制 · 数学 2024-04-11 Annika Fürnsinn , Christian Ebenbauer , Bahman Gharesifard

Robots must satisfy safety-critical state and input constraints despite disturbances and model mismatch. We introduce a robust model predictive control (RMPC) formulation that is fast, scalable, and compatible with real-time implementation.…

最优化与控制 · 数学 2025-09-24 Antoine P. Leeman , Johannes Köhler , Melanie N. Zeilinger

A robust model predictive control scheme for a class of constrained norm-bounded uncertain discrete-time linear systems is developed under the hypothesis that only partial state measurements are available for feedback. Off-line calculations…

系统与控制 · 计算机科学 2018-07-23 Giuseppe Franzè , Massimiliano Mattei , Luciano Ollio , Valerio Scordamaglia

Configurable Markov Decision Processes (Conf-MDPs) have recently been introduced as an extension of the traditional Markov Decision Processes (MDPs) to model the real-world scenarios in which there is the possibility to intervene in the…

机器学习 · 计算机科学 2024-02-22 Alberto Maria Metelli

The main benefit of model predictive control (MPC) is its ability to steer the system to a given reference without violating the constraints while minimizing some objective. Furthermore, a suitably designed MPC controller guarantees…

系统与控制 · 电气工程与系统科学 2024-06-25 Pablo Krupa , Daniel Limon , Teodoro Alamo

Model mismatch often poses challenges in model-based controller design. This paper investigates model predictive control (MPC) of uncertain linear systems with input constraints, focusing on stability and closed-loop infinite-horizon…

最优化与控制 · 数学 2025-03-06 Changrui Liu , Shengling Shi , Bart De Schutter

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

最优化与控制 · 数学 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer