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This paper investigates the problem of robust model predictive control (RMPC) of linear-time-invariant (LTI) discrete-time systems subject to structured uncertainty and bounded disturbances. Typically, the constrained RMPC problem with…

Systems and Control · Electrical Eng. & Systems 2022-08-18 Anastasis Georgiou , Furqan Tahir , Imad M. Jaimoukha , Simos A. Evangelou

The concept of Deadbeat Robust Model Predictive Control (DRMPC) is to completely extinguish the effect of external disturbances within the first few steps of the prediction horizon. The benefit is that the remaining dynamics of the system…

Optimization and Control · Mathematics 2025-09-19 Georg Schildbach , Hossam S. Abbas

We extend the Datamodels framework from supervised learning to Model Predictive Path Integral (MPPI) control. Whereas Datamodels estimate sample influence via regression on a fixed dataset, we instead learn to predict influence directly…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Jiachen Li , Xu Duan , Shihao Li , Soovadeep Bakshi , Dongmei Chen

Deploying mobile robots safely among humans requires the motion planner to account for the uncertainty in the other agents' predicted trajectories. This remains challenging in traditional approaches, especially with arbitrarily shaped…

Robotics · Computer Science 2025-08-21 Elia Trevisan , Khaled A. Mustafa , Godert Notten , Xinwei Wang , Javier Alonso-Mora

Output regulation is the problem of finding a control input to asymptotically track reference trajectories and reject disturbances. This can be addressed by using the internal model principle to embed a model of the disturbance in the…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Felix Brändle , Frank Allgöwer

This work addresses the problem of robot interaction in complex environments where online control and adaptation is necessary. By expanding the sample space in the free energy formulation of path integral control, we derive a natural…

Robotics · Computer Science 2020-06-08 Ian Abraham , Ankur Handa , Nathan Ratliff , Kendall Lowrey , Todd D. Murphey , Dieter Fox

Neural networks have found extensive application in data-driven control of nonlinear dynamical systems, yet fast online identification and control of unknown dynamics remain central challenges. To meet these challenges, this paper…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Daisuke Inoue , Tadayoshi Matsumori , Gouhei Tanaka , Yuji Ito

Safe decision-making algorithms for control of mobile robots often require the existence of feedback to verify the safety of proposed actions. This feedback is assumed to be directly available during the development or deployment of the…

Machine Learning · Computer Science 2026-05-26 Jeff Pflueger , Michael Everett

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

We present a sampling-based control approach that can generate smooth actions for general nonlinear systems without external smoothing algorithms. Model Predictive Path Integral (MPPI) control has been utilized in numerous robotic…

Robotics · Computer Science 2025-10-15 Taekyung Kim , Gyuhyun Park , Kiho Kwak , Jihwan Bae , Wonsuk Lee

Off-road driving operations can be a challenging environment for human conductors as they are subject to accidents, repetitive and tedious tasks, strong vibrations, which may affect their health in the long term. Therefore, they can benefit…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Kenny A. Q. Caldas , Filipe M. Barbosa , Junior A. R. Silva , Tiago C. Santos , Iago P. Gomes , Luis A. Rosero , Denis F. Wolf , Valdir Grassi

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold

Model Predictive Control (MPC) is widely used in robot control by optimizing a sequence of control outputs over a finite-horizon. Computational approaches for MPC include deterministic methods (e.g., iLQR and COBYLA), as well as…

Robotics · Computer Science 2025-11-03 Zhaoxin Li , Xiaoke Wang , Letian Chen , Rohan Paleja , Subramanya Nageshrao , Matthew Gombolay

In control applications there is often a compromise that needs to be made with regards to the complexity and performance of the controller and the computational resources that are available. For instance, the typical hardware platform in…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

Modeling error or external disturbances can severely degrade the performance of Model Predictive Control (MPC) in real-world scenarios. Robust MPC (RMPC) addresses this limitation by optimizing over feedback policies but at the expense of…

Systems and Control · Electrical Eng. & Systems 2019-07-16 Brett T. Lopez , Jean-Jacques E. Slotine , Jonathan P. How

This paper addresses the problem of model-free reinforcement learning for Robust Markov Decision Process (RMDP) with large state spaces. The goal of the RMDP framework is to find a policy that is robust against the parameter uncertainties…

Machine Learning · Computer Science 2021-02-15 Kishan Panaganti , Dileep Kalathil

We generalize the derivation of model predictive path integral control (MPPI) to allow for a single joint distribution across controls in the control sequence. This reformation allows for the implementation of adaptive importance sampling…

Systems and Control · Electrical Eng. & Systems 2023-03-02 Dylan M. Asmar , Ransalu Senanayake , Shawn Manuel , Mykel J. Kochenderfer

Model Predictive Control (MPC) is a powerful control strategy; however, its reliance on online optimization poses significant challenges for implementation on systems with limited computational resources. One possible approach to address…

Optimization and Control · Mathematics 2025-02-19 Hassan Jafari Ozoumchelooei , Mehdi Hosseinzadeh

Predictive control, which is based on a model of the system to compute the applied input optimizing the future system behavior, is by now widely used. If the nominal models are not given or are very uncertain, data-driven model predictive…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Hoang Hai Nguyen , Maurice Friedel , Rolf Findeisen
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