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相关论文: Receding-horizon Stochastic Model Predictive Contr…

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Output-Feedback Stochastic Model Predictive Control based on Stochastic Optimal Control for nonlinear systems is computationally intractable because of the need to solve a Finite Horizon Stochastic Optimal Control Problem. However, solving…

最优化与控制 · 数学 2020-05-01 Martin A. Sehr , Robert R. Bitmead

This paper is concerned with the problem of Model Predictive Control and Rolling Horizon Control of discrete-time systems subject to possibly unbounded random noise inputs, while satisfying hard bounds on the control inputs. We use a…

最优化与控制 · 数学 2010-09-08 Peter Hokayem , Debasish Chatterjee , John Lygeros

Model predictive control has shown potential to enhance the robustness of quantum control systems. In this work, we propose a tractable Stochastic Model Predictive Control (SMPC) framework for finite-dimensional quantum systems under…

量子物理 · 物理学 2025-12-04 Yunyan Lee , Ian R. Petersen , Daoyi Dong

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

系统与控制 · 电气工程与系统科学 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

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

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

This article presents a dynamic regret analysis for stochastic model predictive control (SMPC) in linear systems with quadratic performance index and additive and multiplicative uncertainties. Under a finite support assumption, the problem…

最优化与控制 · 数学 2025-02-04 Sungho Shin , Sen Na , Mihai Anitescu

In this paper, we consider the robust closed-loop model predictive control (MPC) of a linear time-variant (LTV) system with norm bounded disturbances and LTV model uncertainty, wherein a series of constrained optimal control problems (OCPs)…

最优化与控制 · 数学 2020-06-16 Shaoru Chen , Han Wang , Manfred Morari , Victor M. Preciado , Nikolai Matni

In this work, we study the stochastic optimal control problem (SOC) mainly from the probabilistic view point, i.e. via the Stochastic Maximum principle (SMP) \cite{Peng4}. We adopt the sample-wise backpropagation scheme proposed in…

最优化与控制 · 数学 2025-06-17 Hui Sun , Feng Bao

A novel robust nonlinear model predictive control strategy is proposed for systems with nonlinear dynamics and convex state and control constraints. Using a sequential convex approximation approach and a difference of convex functions…

最优化与控制 · 数学 2025-01-28 Yana Lishkova , Mark Cannon

This paper studies the well-posedness and regularity of safe stabilizing optimization-based controllers for control-affine systems in the presence of model uncertainty. When the system dynamics contain unknown parameters, a finite set of…

最优化与控制 · 数学 2024-01-01 Pol Mestres , Kehan Long , Nikolay Atanasov , Jorge Cortés

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

最优化与控制 · 数学 2022-07-27 Francesco Micheli , John Lygeros

We revisit closed-loop performance guarantees for Model Predictive Control in the deterministic and stochastic cases, which extend to novel performance results applicable to receding horizon control of Partially Observable Markov Decision…

最优化与控制 · 数学 2020-05-01 Martin A. Sehr , Robert R. Bitmead

This work develops a stochastic model predictive controller~(SMPC) for uncertain linear systems with additive Gaussian noise subject to state and control constraints. The proposed approach is based on the recently developed finite-horizon…

最优化与控制 · 数学 2019-11-26 Kazuhide Okamoto , Panagiotis Tsiotras

This paper considers linear discrete-time systems with additive disturbances, and designs a Model Predictive Control (MPC) law incorporating a dynamic feedback gain to minimise a quadratic cost function subject to a single chance…

系统与控制 · 电气工程与系统科学 2022-03-02 Shuhao Yan , Paul J. Goulart , Mark Cannon

The stability of stochastic Model Predictive Control (MPC) subject to additive disturbances is often demonstrated in the literature by constructing Lyapunov-like inequalities that ensure closed-loop performance bounds and boundedness of the…

最优化与控制 · 数学 2020-04-07 Diego Muñoz-Carpintero , Mark Cannon

We propose a stochastic MPC scheme using an optimization over the initial state for the predicted trajectory. Considering linear discrete-time systems under unbounded additive stochastic disturbances subject to chance constraints, we use…

系统与控制 · 电气工程与系统科学 2022-07-19 Henning Schlüter , Frank Allgöwer

Sequential Convex Programming (SCP) has recently gained significant popularity as an effective method for solving optimal control problems and has been successfully applied in several different domains. However, the theoretical analysis of…

最优化与控制 · 数学 2022-09-07 Riccardo Bonalli , Thomas Lew , Marco Pavone

Stochastic Model Predictive Control addresses uncertainties by incorporating chance constraints that provide probabilistic guarantees of constraint satisfaction. However, simultaneously optimizing over the risk allocation and the feedback…

系统与控制 · 电气工程与系统科学 2026-04-07 Filipe Marques Barbosa , Johan Löfberg

In this work we propose a Model Predictive Control (MPC) formulation that splits constraints in two different types. Motivated by safety considerations, the first type of constraint enforces a control-invariant set, while the second type…

系统与控制 · 电气工程与系统科学 2025-11-05 Allan Andre do Nascimento , Han Wang , Antonis Papachristodoulou , Kostas Margellos