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We consider the problem of robotic planning under uncertainty. This problem may be posed as a stochastic optimal control problem, complete solution to which is fundamentally intractable owing to the infamous curse of dimensionality. We…

Optimization and Control · Mathematics 2020-07-21 Mohamed Naveed Gul Mohamed , Suman Chakravorty , Dylan A. Shell

Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

The control of constrained systems using model predictive control (MPC) becomes more challenging when full state information is not available and when the nominal system model and measurements are corrupted by noise. Since these conditions…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Joseph Lorenzetti , Marco Pavone

Fast feedback control and safety guarantees are essential in modern robotics. We present an approach that achieves both by combining novel robust model predictive control (MPC) with function approximation via (deep) neural networks (NNs).…

Robotics · Computer Science 2020-03-04 Julian Nubert , Johannes Köhler , Vincent Berenz , Frank Allgöwer , Sebastian Trimpe

Model predictive control (MPC) is a powerful control method that handles dynamical systems with constraints. However, solving MPC iteratively in real time, i.e., implicit MPC, remains a computational challenge. To address this, common…

Systems and Control · Electrical Eng. & Systems 2022-08-03 Fangyu Wu , Guanhua Wang , Siyuan Zhuang , Kehan Wang , Alexander Keimer , Ion Stoica , Alexandre Bayen

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Siddharth H. Nair , Francesco Borrelli

In control system networks, reconfiguration of the controller when agents are leaving or joining the network is still an open challenge, in particular when operation constraints that depend on each agent's behavior must be met. Drawing our…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Danilo Saccani , Lorenzo Fagiano , Melanie N. Zeilinger , Andrea Carron

We present a stochastic model predictive control (SMPC) framework for linear systems subject to possibly unbounded disturbances. State of the art SMPC approaches with closed-loop chance constraint satisfaction recursively initialize the…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Johannes Köhler , Melanie N. Zeilinger

This paper deals with sliding mode control for multivariable polytopic uncertain systems. We provide systematic procedures to design variable structure controllers (VSCs) and unit-vector controllers (UVCs). Based on suitable representations…

Optimization and Control · Mathematics 2024-11-21 Pedro Henrique Silva Coutinho , Iury Bessa , Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira

We analyse the closed-loop performance of a model predictive control (MPC) for tracking formulation with artificial references. It has been shown that such a scheme guarantees closed-loop stability and recursive feasibility for any…

Optimization and Control · Mathematics 2024-01-25 Matthias Köhler , Lisa Krügel , Lars Grüne , Matthias A. Müller , Frank Allgöwer

This paper studies integral-type event-triggered model predictive control (MPC) of continuous-time nonlinear systems. An integral-type event-triggered mechanism is proposed by incorporating the integral of errors between the actual and…

Optimization and Control · Mathematics 2020-02-19 Qi Sun , Jicheng Chen , Yang Shi

Model Predictive Control (MPC) is often tuned by trial and error. When a baseline linear controller exists that is already well tuned in the absence of constraints and MPC is introduced to enforce them, one would like to avoid altering the…

Systems and Control · Electrical Eng. & Systems 2021-11-01 Mario Zanon , Alberto Bemporad

Model predictive control (MPC) has been applied to many platforms in robotics and autonomous systems for its capability to predict a system's future behavior while incorporating constraints that a system may have. To enhance the performance…

Robotics · Computer Science 2024-07-08 Ran Tao , Sheng Cheng , Xiaofeng Wang , Shenlong Wang , Naira Hovakimyan

We present a model predictive control (MPC) framework for nonlinear stochastic systems that ensures safety guarantee with high probability. Unlike most existing stochastic MPC schemes, our method adopts a set-erosion that converts the…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zishun Liu , Liqian Ma , Yongxin Chen

In this paper, we propose a suboptimal and reduced-order Model Predictive Control (MPC) architecture for discrete-time feedback-interconnected systems. The numerical MPC solver: (i) acts suboptimally, performing only a finite number of…

Optimization and Control · Mathematics 2026-04-03 Stefano Di Gregorio , Guido Carnevale , Giuseppe Notarstefano

This paper designs a model predictive control (MPC) law for constrained linear systems with stochastic additive disturbances and noisy measurements, minimising a discounted cost subject to a discounted expectation constraint. It is assumed…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Shuhao Yan , Mark Cannon , Paul J. Goulart

We present a framework to design nonlinear robust output feedback model predictive control (MPC) schemes that ensure constraint satisfaction under noisy output measurements and disturbances. We provide novel estimation methods to bound the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

A critical engineering challenge in quantum technology is the accurate control of quantum dynamics. Model-based methods for optimal control have been shown to be highly effective when theory and experiment closely match. Consequently,…

Quantum Physics · Physics 2022-10-19 Andy J. Goldschmidt , Jonathan L. DuBois , Steven L. Brunton , J. Nathan Kutz

In this paper, we revisit the computation of controlled invariant sets for linear discrete-time systems through a trajectory-based viewpoint. We begin by introducing the notion of convex feasible points, which provides a new…

Optimization and Control · Mathematics 2026-05-06 Emmanuel Junior Wafo Wembe , Adnane Saoud

We provide a comprehensive review and practical implementation of a recently developed model predictive control (MPC) framework for controlling unknown systems using only measured data and no explicit model knowledge. Our approach relies on…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer
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