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We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

Model mismatches prevail in real-world applications. Ensuring safety for systems with uncertain dynamic models is critical. However, existing robust safe controllers may not be realizable when control limits exist. And existing methods use…

Robotics · Computer Science 2023-03-08 Tianhao Wei , Shucheng Kang , Weiye Zhao , Changliu Liu

Sampling-based model-predictive controllers have become a powerful optimization tool for planning and control problems in various challenging environments. In this paper, we show how the default choice of uncorrelated Gaussian distributions…

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

We present a data-driven optimal control framework that can be viewed as a generalization of the path integral (PI) control approach. We find iterative feedback control laws without parameterization based on probabilistic representation of…

Systems and Control · Computer Science 2016-02-02 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

Model Predictive Path Integral (MPPI) control is a powerful sampling-based strategy for nonlinear autonomous systems. However, its performance is often bottlenecked by the fidelity of nominal dynamics. We propose ICODE-MPPI, a robust…

Robotics · Computer Science 2026-05-06 Shugen Song , Wenjie Mei , Chengyan Zhao

In recent years, dual-arm manipulation has become an area of strong interest in robotics, with end-to-end learning emerging as the predominant strategy for solving bimanual tasks. A critical limitation of such learning-based approaches,…

Robotics · Computer Science 2025-11-27 Iryna Hurova , Alinjar Dan , Karl Kruusamäe , Arun Kumar Singh

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

Optimization and Control · Mathematics 2020-01-03 Chao Shang , Fengqi You

Learning Model Predictive Control (LMPC) improves performance on iterative tasks by leveraging data from previous executions. At each iteration, LMPC constructs a sampled safe set from past trajectories and uses it as a terminal constraint,…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Wataru Hashimoto , Kazumune Hashimoto

As perception-based controllers for autonomous systems become increasingly popular in the real world, it is important that we can formally verify their safety and performance despite perceptual uncertainty. Unfortunately, the verification…

Robotics · Computer Science 2026-04-16 Albert Lin , Alessandro Pinto , Somil Bansal

In this article, two methods for solving mean-field type optimal control problems are proposed and investigated. The two methods are iterative methods: at each iteration, a Hamilton-Jacobi-Bellman equation is solved, for a terminal…

Optimization and Control · Mathematics 2017-03-30 Laurent Pfeiffer

We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems subject to control and terminal state constraints. To this end, after reducing the problem to an ODE…

Optimization and Control · Mathematics 2022-02-16 Timm Faulwasser , Bernhard Maschke , Friedrich Philipp , Manuel Schaller , Karl Worthmann

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

Optimization and Control · Mathematics 2025-04-24 Eunhyek Joa , Francesco Borrelli

Robots deployed in dynamic environments must remain safe even when key physical parameters are uncertain or change over time. We propose Parameter-Robust Model Predictive Path Integral (PRMPPI) control, a framework that integrates online…

Robotics · Computer Science 2026-01-07 Matti Vahs , Jaeyoun Choi , Niklas Schmid , Jana Tumova , Chuchu Fan

Controllers for dynamical systems that operate in safety-critical settings must account for stochastic disturbances. Such disturbances are often modeled as process noise in a dynamical system, and common assumptions are that the underlying…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Thom Badings , Licio Romao , Alessandro Abate , David Parker , Hasan A. Poonawala , Marielle Stoelinga , Nils Jansen

Recent learning-based safety filters have outperformed conventional methods, such as hand-crafted Control Barrier Functions (CBFs), by effectively adapting to complex constraints. However, these learning-based approaches lack formal safety…

Machine Learning · Computer Science 2025-06-23 Jiaxing Li , Hanjiang Hu , Yujie Yang , Changliu Liu

Hamilton-Jacobi (HJ) reachability provides formal safety guarantees for dynamical systems, but solving high-dimensional HJ partial differential equations limits its use in real-time planning. This paper presents a contingency-aware…

Robotics · Computer Science 2026-03-19 Kasidit Muenprasitivej , Derya Aksaray

Constructing high-fidelity control fields that are robust to control, system, and/or surrounding environment uncertainties is a crucial objective for quantum information processing. Using the two-state Landau-Zener model for illustrative…

Quantum Physics · Physics 2012-05-23 Matthew D. Grace , Jason Dominy , Wayne M. Witzel , Malcolm S. Carroll

This paper considers the synthesis of optimal safe controllers based on density functions. We present an algorithm for robust constrained optimal control synthesis using the duality relationship between the density function and the value…

Optimization and Control · Mathematics 2019-09-30 Yuxiao Chen , Mohamadreza Ahmadi , Aaron D. Ames