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This paper presents a supervised learning method to generate continuous cost-to-go functions of non-holonomic systems directly from the workspace description. Supervision from informative examples reduces training time and improves network…

Robotics · Computer Science 2021-03-23 Jinwook Huh , Daniel D. Lee , Volkan Isler

When designing control strategies for differential-drive mobile robots, one standard tool is the consideration of a point at a fixed distance along a line orthogonal to the wheel axis instead of the full pose of the vehicle. This…

Robotics · Computer Science 2018-02-21 Paul Glotfelter , Magnus Egerstedt

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

Optimization and Control · Mathematics 2021-03-31 Zheming Wang , Raphaël M. Jungers

Parameterized convex minorant (PCM) method is proposed for the approximation of the objective function in amortized optimization. In the proposed method, the objective function approximator is expressed by the sum of a PCM and a nonnegative…

Machine Learning · Computer Science 2023-11-13 Jinrae Kim , Youdan Kim

Various efforts have been devoted to developing stabilizing distributed Model Predictive Control (MPC) schemes for tracking piecewise constant references. In these schemes, terminal sets are usually computed offline and used in the MPC…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Ahmed Aboudonia , Annika Eichler , Francesco Cordiano , Goran Banjac , John Lygeros

Control of nonlinear systems with high levels of uncertainty is practically relevant and theoretically challenging. This paper presents a numerical investigation of an adaptive nonlinear model predictive control (MPC) technique that relies…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Rami Abdulelah Alhazmi , Achinth Suresh Babu , Syed Aseem Ul Islam , Dennis S. Bernstein

In this paper, we investigate discounted economic model predictive control (E-MPC) schemes without terminal conditions in scenarios where the optimal operating behavior is a periodic orbit. For such a setting, it is known that a linearly…

Optimization and Control · Mathematics 2025-03-13 Lukas Schwenkel , Daniel Briem , Matthias A. Müller , Frank Allgöwer

In this paper, model predictive control (MPC) strategies are proposed for dead-beat control of linear systems with and without state and control constraints. In unconstrained MPC, deadbeat performance can be guaranteed by setting the…

Optimization and Control · Mathematics 2022-08-31 Bing Zhu

In this paper, we introduce an actor-critic algorithm called Deep Value Model Predictive Control (DMPC), which combines model-based trajectory optimization with value function estimation. The DMPC actor is a Model Predictive Control (MPC)…

Machine Learning · Computer Science 2019-10-09 Farbod Farshidian , David Hoeller , Marco Hutter

Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

Systems and Control · Electrical Eng. & Systems 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

This paper proposes an Adaptive Learning Model Predictive Control strategy for uncertain constrained linear systems performing iterative tasks. The additive uncertainty is modeled as the sum of a bounded process noise and an unknown…

Systems and Control · Computer Science 2018-04-27 Monimoy Bujarbaruah , Xiaojing Zhang , Ugo Rosolia , Francesco Borrelli

Model Predictive Control (MPC) is a successful control methodology, which is applied to increasingly complex systems. However, real-time feasibility of MPC can be challenging for complex systems, certainly when an (extremely) large number…

Systems and Control · Electrical Eng. & Systems 2024-10-25 S. A. N. Nouwens , B. de Jager , M. M. Paulides , W. P. M. H. Heemels

In this study, we consider a multi-pursuer single-evader quantitative pursuit-evasion game with payoff function that includes only the terminal cost. The terminal cost is a function related only to the terminal position of the evader. This…

Optimization and Control · Mathematics 2026-01-01 Weiwen Huang , Li Liang , Ningsheng Xu , Fang Deng

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…

Optimization and Control · Mathematics 2024-03-28 Dario Dennstädt , Lukas Lanza , Karl Worthmann

Tight performance specifications in combination with operational constraints make model predictive control (MPC) the method of choice in various industries. As the performance of an MPC controller depends on a sufficiently accurate…

Systems and Control · Electrical Eng. & Systems 2020-06-09 Kim P. Wabersich , Melanie N. Zeilinger

Applying nonlinear model predictive control (NMPC) to systems with hybrid dynamics or discrete actions typically yields mixed-integer nonlinear programs (MINLPs), whose real-time solution remains a major challenge and limits the…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Christopher Anthony Orrico , W. P. M. H. Heemels , Dinesh Krishnamoorthy

This work investigates the challenge of ensuring safety guarantees in the presence of uncontrollable agents, whose behaviors are stochastic and depend on both their own and the system's states. We present a neural model predictive control…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Shuqi Wang , Mingyang Feng , Yu Chen , Yue Gao , Xiang Yin

We develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable assumptions on the linearized dynamics, we prove that the proposed…

Optimization and Control · Mathematics 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We study the approximate dynamic programming approach to revenue management in the context of attended home delivery. We draw on results from dynamic programming theory for Markov decision problems, convex optimisation and discrete convex…

Optimization and Control · Mathematics 2019-03-18 Denis Lebedev , Paul Goulart , Kostas Margellos

In this article, a quasi-sliding mode control (QSMC) based on MPC is proposed for the constrained continuous-time nonlinear system with external disturbances. The MPC problem is formulated relating to the design of QSMC, to generate the…

Optimization and Control · Mathematics 2023-02-27 Huan Meng