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This paper considers linear-quadratic control of a non-linear dynamical system subject to arbitrary cost. I show that for this class of stochastic control problems the non-linear Hamilton-Jacobi-Bellman equation can be transformed into a…

General Physics · Physics 2009-11-11 H. J. Kappen

Trajectory sampling is a key component of sampling-based control mechanisms. Trajectory samplers rely on control input samplers, which generate control inputs u from a distribution p(u | x) where x is the current state. We introduce the…

Robotics · Computer Science 2025-10-21 Yukang Cao , Rahul Moorthy , O. Goktug Poyrazoglu , Volkan Isler

Ground robots often carry payloads, implements, or other attachments that turn their effective footprint into complex, non-convex shapes. Navigating safely through clutter then requires reasoning about this true geometry, yet most local…

Robotics · Computer Science 2026-05-29 Chen Peng , Zhikang Ge , Wenwu Lu , Haiming Gao , Stavros Vougioukas , Peng Wei

Automating complex industrial robots requires precise nonlinear control and efficient energy management. This paper introduces a data-driven nonlinear model predictive control (NMPC) framework to optimize control under multiple objectives.…

Robotics · Computer Science 2024-11-22 Dexian Ma , Bo Zhou

This paper introduces a novel nonlinear model predictive control (NMPC) framework that incorporates a lifting technique to enhance control performance for nonlinear systems. While the lifting technique has been widely employed in linear…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Nuthasith Gerdpratoom , Fumiya Matsuzaki , Yutaka Yamamoto , Kaoru Yamamoto

Decentralized multi-agent navigation under uncertainty is a complex task that arises in numerous robotic applications. It requires collision avoidance strategies that account for both kinematic constraints, sensing and action execution…

Robotics · Computer Science 2025-08-01 Stepan Dergachev , Konstantin Yakovlev

We present a generative predictive control (GPC) framework that amortizes sampling-based Model Predictive Control (SPC) by bootstrapping it with conditional flow-matching models trained on SPC control sequences collected in simulation.…

This paper is concerned with the error analysis of two types of sampling algorithms, namely model predictive path integral (MPPI) and an interacting particle system (\IPS) algorithm, that have been proposed in the literature for numerical…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Anant A. Joshi , Amirhossein Taghvaei , Prashant G. Mehta

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

Systems and Control · Computer Science 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

We propose a robust nonlinear model predictive control (MPC) scheme for trajectory-tracking control of autonomous vehicles at the limits of handling on non-planar road surfaces. We derive the dynamics from first principles and selectively…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Joscha F. Bongard , Georg Jank , Simon Sagmeister , Boris Lohmann

This work explores the nature of augmented importance sampling in safety-constrained model predictive control problems. When operating in a constrained environment, sampling based model predictive control and motion planning typically…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Manan Gandhi , Hassan Almubarak , Yuichiro Aoyama , Evangelos Theodorou

We propose a Stochastic MPC (SMPC) formulation for path planning with autonomous vehicles in scenarios involving multiple agents with multi-modal predictions. The multi-modal predictions capture the uncertainty of urban driving in distinct…

Robotics · Computer Science 2023-11-01 Siddharth H. Nair , Hotae Lee , Eunhyek Joa , Yan Wang , H. Eric Tseng , Francesco Borrelli

Model predictive control (MPC) is an effective approach to control multivariable dynamic systems with constraints. Most real dynamic models are however affected by plant-model mismatch and process uncertainties, which can lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

We present a general approach for controlling robotic systems that make and break contact with their environments. Contact-implicit model predictive control (CI-MPC) generalizes linear MPC to contact-rich settings by utilizing a bi-level…

In this thesis, advanced design technique in sliding mode control (SMC) is presented with focus on PID (Proportional-Integral-Derivative) type Sliding surfaces based Sliding mode control with improved power rate exponential reaching law for…

Systems and Control · Electrical Eng. & Systems 2022-07-25 Kirtiman Singh

Automated vehicles require efficient and safe planning to maneuver in uncertain environments. Largely this uncertainty is caused by other traffic participants, e.g., surrounding vehicles. Future motion of surrounding vehicles is often…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Tim Brüdigam , Michael Olbrich , Dirk Wollherr , Marion Leibold

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

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…

In this article we present a novel discrete-time design approach which reduces the deteriorating effects of sampling on stability and performance in digitally controlled nonlinear mechanical systems. The method is motivated by recent…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Paul Kotyczka , Tobias Thoma

This paper presents a multirotor control architecture, where Model Predictive Path Integral Control (MPPI) and L1 adaptive control are combined to achieve both fast model predictive trajectory planning and robust trajectory tracking. MPPI…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Jintasit Pravitra , Kasey A. Ackerman , Chengyu Cao , Naira Hovakimyan , Evangelos A. Theodorou