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The stability analysis of model predictive control schemes without terminal constraints and/or costs has attracted considerable attention during the last years. We pursue a recently proposed approach which can be used to determine a…

最优化与控制 · 数学 2014-01-16 Philipp Braun , Jürgen Pannek , Karl Worthmann

Horizon length and model accuracy are defining factors when designing a Model Predictive Controller. While long horizons and detailed models have a positive effect on control performance, computational complexity increases. As predictions…

系统与控制 · 电气工程与系统科学 2021-08-19 Tim Brüdigam , Daniel Prader , Dirk Wollherr , Marion Leibold

A disturbance-aware predictive control policy is proposed for DC-AC power inverters with the receding horizon optimization approach. First, a discrete event-driven hybrid automaton model has been constructed for the nonlinear inverter…

系统与控制 · 电气工程与系统科学 2020-12-23 Zhengxi Chen , Xun Shen

Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight. The proposed methods yield a posteriori…

最优化与控制 · 数学 2015-03-19 Thomas Jahn , Jürgen Pannek

Model Predictive Control (MPC) is a popular technology to operate industrial systems. It refers to a class of control algorithms that use an explicit model of the system to obtain the control action by minimizing a cost function. At each…

最优化与控制 · 数学 2024-11-22 Luz A. Alvarez , Diego F. de Bernardini , Christophe Gallesco

We propose adaptation strategies to modify the standard constrained model predictive controller scheme in order to guarantee a certain lower bound on the degree of suboptimality. Within this analysis, the length of the optimization horizon…

最优化与控制 · 数学 2015-03-19 Jürgen Pannek

In this work, we propose a Model Predictive Control (MPC) formulation incorporating two distinct horizons: a prediction horizon and a constraint horizon. This approach enables a deeper understanding of how constraints influence key system…

系统与控制 · 电气工程与系统科学 2025-03-25 Allan Andre Do Nascimento , Han Wang , Antonis Papachristodoulou , Kostas Margellos

Computing the receding horizon optimal control of nonlinear hybrid systems is typically prohibitively slow, limiting real-time implementation. To address this challenge, we propose a layered Model Predictive Control (MPC) architecture for…

系统与控制 · 电气工程与系统科学 2025-03-18 Zachary Olkin , Aaron D. Ames

The paper describes a receding horizon control design framework for continuous-time stochastic nonlinear systems subject to probabilistic state constraints. The intention is to derive solutions that are implementable in real-time on…

系统与控制 · 计算机科学 2012-11-20 Shridhar K. Shah , Herbert G. Tanner , Chetan D. Pahlajani

We present a stochastic model predictive control framework for nonlinear systems subject to unbounded process noise with closed-loop guarantees. First, we provide a conceptual shrinking-horizon framework that utilizes general probabilistic…

系统与控制 · 电气工程与系统科学 2025-06-06 Johannes Köhler , Melanie N. Zeilinger

This article is concerned with stability and performance of controlled stochastic processes under receding horizon policies. We carry out a systematic study of methods to guarantee stability under receding horizon policies via appropriate…

系统与控制 · 计算机科学 2017-11-27 Debasish Chatterjee , John Lygeros

Common approaches for direct model predictive control (MPC) for current reference tracking in power electronics suffer from the high computational complexity encountered when solving integer optimal control problems over long prediction…

最优化与控制 · 数学 2016-06-28 Bartolomeo Stellato , Tobias Geyer , Paul J. Goulart

In this study, a heuristic dynamic programming controller is proposed to control a boost converter. Conventional controllers such as proportional integral-derivative (PID) or proportional integral (PI) are designed based on the linearized…

系统与控制 · 电气工程与系统科学 2020-02-04 Sepehr Saadatmand , Pourya Shamsi , Mehdi Ferdowsi

We propose a simple and computationally efficient approach for designing a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertainty is modeled as an additive disturbance and an additive error on the…

系统与控制 · 电气工程与系统科学 2021-03-24 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R. Stürz , Francesco Borrelli

Due to simplicity and strong stability guarantees, predictor feedback methods have stood as a popular approach for time delay systems since the 1950s. For time-varying delays, however, implementation requires computing a prediction horizon…

系统与控制 · 电气工程与系统科学 2026-04-01 Luke Bhan , Miroslav Krstic , Yuanyuan Shi

Generalized Polynomial Chaos (gPC) theory has been widely used for representing parametric uncertainty in a system, thanks to its ability to propagate uncertainty evolution. In an optimal control context, gPC can be combined with several…

最优化与控制 · 数学 2021-10-05 Yuichiro Aoyama , Augustinos D. Saravanos , Evangelos A. Theodorou

In this paper we address the problem of designing receding horizon control algorithms for linear discrete-time systems with parametric uncertainty. We do not consider presence of stochastic forcing or process noise in the system. It is…

最优化与控制 · 数学 2014-02-20 Raktim Bhattacharya , James Fisher

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

Implementation of Model Predictive Control (MPC) on hardware with limited computational resources remains a challenge. Especially for long-distance maneuvers that require small sampling times, the necessary horizon lengths prevent its…

机器人学 · 计算机科学 2024-08-16 Philipp Schitz , Johann C. Dauer , Paolo Mercorelli

Predictive control is frequently used for control problems involving constraints. Being an optimization based technique utilizing a user specified so-called stage cost, performance properties, i.e., bounds on the infinite horizon…

系统与控制 · 电气工程与系统科学 2022-09-09 Lukas Beckenbach , Stefan Streif
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