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Model Predictive Control evolved as the state of the art paradigm for safety critical control tasks. Control-as-Inference approaches thereof model the constrained optimization problem as a probabilistic inference problem. The constraints…

最优化与控制 · 数学 2025-11-21 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

The value of plant model information available in the control design process is discussed. We design optimal state-feedback controllers for interconnected discrete-time linear systems with stochastically-varying parameters. The parameters…

最优化与控制 · 数学 2013-12-05 Farhad Farokhi , Karl H. Johansson

This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The…

最优化与控制 · 数学 2025-07-15 Shaolin Ji , Rundong Xu

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

最优化与控制 · 数学 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

We propose a model predictive control (MPC) scheme with sampled-data input which ensures output-reference tracking within prescribed error bounds for relative-degree-one systems. Hereby, we explicitly deduce bounds on the required maximal…

最优化与控制 · 数学 2024-03-28 Dario Dennstädt , Lukas Lanza , Karl Worthmann

Model Predictive Control (MPC) is a computationally demanding control technique that allows dealing with multiple-input and multiple-output systems, while handling constraints in a systematic way. The necessity of solving an optimization…

系统与控制 · 计算机科学 2021-12-16 Bulat Khusainov , Eric C. Kerrigan , George A. Constantinides

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

机器人学 · 计算机科学 2024-11-01 Davide Celestini , Daniele Gammelli , Tommaso Guffanti , Simone D'Amico , Elisa Capello , Marco Pavone

We consider the Chance Constrained Model Predictive Control problem for polynomial systems subject to disturbances. In this problem, we aim at finding optimal control input for given disturbed dynamical system to minimize a given cost…

最优化与控制 · 数学 2016-05-04 Ashkan Jasour , Constantino Lagoa

We establish an algorithm to learn feedback maps from data for a class of robust model predictive control (MPC) problems. The algorithm accounts for the approximation errors due to the learning directly at the synthesis stage, ensuring…

最优化与控制 · 数学 2025-10-16 Siddhartha Ganguly , Shubham Gupta , Debasish Chatterjee

We present a method for optimal control of systems governed by partial differential equations (PDEs) with uncertain parameter fields. We consider an objective function that involves the mean and variance of the control objective, leading to…

最优化与控制 · 数学 2017-11-27 Alen Alexanderian , Noemi Petra , Georg Stadler , Omar Ghattas

Probabilistic control design is founded on the principle that a rational agent attempts to match modelled with an arbitrary desired closed-loop system trajectory density. The framework was originally proposed as a tractable alternative to…

机器学习 · 计算机科学 2023-11-16 Tom Lefebvre

Model predictive controllers use dynamics models to solve constrained optimal control problems. However, computational requirements for real-time control have limited their use to systems with low-dimensional models. Nevertheless,…

系统与控制 · 电气工程与系统科学 2024-10-30 Joseph Lorenzetti , Andrew McClellan , Charbel Farhat , Marco Pavone

This study investigates a stochastic production planning problem with a running cost composed of quadratic production costs and inventory-dependent costs. The objective is to minimize the expected cost until production stops when inventory…

最优化与控制 · 数学 2025-05-20 Dragos-Patru Covei

Optimal control of stochastic nonlinear dynamical systems is a major challenge in the domain of robot learning. Given the intractability of the global control problem, state-of-the-art algorithms focus on approximate sequential optimization…

机器学习 · 计算机科学 2020-04-23 Joe Watson , Hany Abdulsamad , Jan Peters

Model-based policy optimization is a well-established framework for designing reliable and high-performance controllers across a wide range of control applications. Recently, this approach has been extended to model predictive control…

系统与控制 · 电气工程与系统科学 2026-04-15 Riccardo Zuliani , Efe C. Balta , John Lygeros

We consider a stochastic control problem which is composed of a controlled stochastic differential equation, and whose associated cost functional is defined through a controlled backward stochastic differential equation. Under appropriate…

概率论 · 数学 2009-02-17 Rainer Buckdahn , Boubakeur Labed , Catherine Rainer , Lazhar Tamer

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

系统与控制 · 计算机科学 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

Model predictive control (MPC) is a powerful tool for controlling complex nonlinear systems under constraints, but often struggles with model uncertainties and the design of suitable cost functions. To address these challenges, we discuss…

系统与控制 · 电气工程与系统科学 2024-10-08 Sebastian Hirt , Andreas Höhl , Johannes Pohlodek , Joachim Schaeffer , Maik Pfefferkorn , Richard D. Braatz , Rolf Findeisen

In this paper we propose a method for applications oriented input design for linear systems under time-domain constraints on the amplitude of input and output signals. The method guarantees a desired control performance for the estimated…

系统与控制 · 计算机科学 2014-03-28 A. Ebadat , B. Wahlberg , H. Hjalmarsson , C. R. Rojas , P. Hagg , C. A. Larsson

Suboptimal model predictive control is a technique that can reduce the computational cost of model predictive control (MPC) by exploiting its robustness to incomplete optimization. Instead of solving the optimal control problem exactly,…

系统与控制 · 计算机科学 2019-05-08 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky