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This work introduces a novel paradigm for solving optimal control problems for hybrid dynamical systems under uncertainties. Robotic systems having contact with the environment can be modeled as hybrid systems. Controller design for hybrid…

Robotics · Computer Science 2024-11-04 Hongzhe Yu , Diana Frias Franco , Aaron M. Johnson , Yongxin Chen

We present a novel particle filtering framework for continuous-time dynamical systems with continuous-time measurements. Our approach is based on the duality between estimation and optimal control, which allows reformulating the estimation…

Optimization and Control · Mathematics 2021-10-08 Qinsheng Zhang , Amirhossein Taghvaei , Yongxin Chen

Many state estimation and control algorithms require knowledge of how probability distributions propagate through dynamical systems. However, despite hybrid dynamical systems becoming increasingly important in many fields, there has been…

Robotics · Computer Science 2021-02-09 Nathan J. Kong , J. Joe Payne , George Council , Aaron M. Johnson

In this paper we present Hybrid iterative Linear Quadratic Estimation (HiLQE), an optimization based offline state estimation algorithm for hybrid dynamical systems. We utilize the saltation matrix, a first order approximation of the…

Robotics · Computer Science 2024-10-29 J. Joe Payne , James Zhu , Nathan J. Kong , Aaron M. Johnson

Hybrid dynamical systems, i.e. systems that have both continuous and discrete states, are ubiquitous in engineering, but are difficult to work with due to their discontinuous transitions. For example, a robot leg is able to exert very…

Robotics · Computer Science 2024-09-04 Nathan J. Kong , J. Joe Payne , James Zhu , Aaron M. Johnson

In this work, we propose a robust optimization approach to mitigate the impact of uncertainties in particle precipitation. Our model incorporates partial differential equations, more particular nonlinear and nonlocal population balance…

Optimization and Control · Mathematics 2023-08-03 Martina Kuchlbauer , Jana Dienstbier , Adeel Muneer , Hanna Hedges , Michael Stingl , Frauke Liers , Lukas Pflug

Particle filters are a powerful and flexible tool for performing inference on state-space models. They involve a collection of samples evolving over time through a combination of sampling and re-sampling steps. The re-sampling step is…

Computation · Statistics 2017-03-17 Deborshee Sen , Alexandre Thiery , Ajay Jasra

This paper studies the distributed state estimation problem for a class of discrete-time stochastic systems with nonlinear uncertain dynamics over time-varying topologies of sensor networks. An extended state vector consisting of the…

Systems and Control · Computer Science 2018-09-12 Xingkang He , Xiaocheng Zhang , Wenchao Xue , Haitao Fang

Discrete events alter how parameter influence propagates in hybrid systems. Prevailing Fisher information formulations assume that sensitivities evolve smoothly according to continuous-time variational equations and therefore neglect the…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Bukunmi G. Odunlami , Marcos Netto , Hai Lin

The use of random sampling in decision-making and control has become popular with the ease of access to graphic processing units that can generate and calculate multiple random trajectories for real-time robotic applications. In contrast to…

Robotics · Computer Science 2022-03-21 Hyung-Jin Yoon , Chuyuan Tao , Hunmin Kim , Naira Hovakimyan , Petros Voulgaris

A standard approach to approximate inference in state-space models isto apply a particle filter, e.g., the Condensation Algorithm.However, the performance of particle filters often varies significantlydue to their stochastic nature.We…

Artificial Intelligence · Computer Science 2013-01-14 Dirk Ormoneit , Christiane Lemieux , David J. Fleet

Particle smoothing methods are used for inference of stochastic processes based on noisy observations. Typically, the estimation of the marginal posterior distribution given all observations is cumbersome and computational intensive. In…

Machine Learning · Computer Science 2017-05-24 H. -Ch. Ruiz , H. J. Kappen

In this paper we present a method for updating robotic state belief through contact with uncertain surfaces and apply this update to a Kalman filter for more accurate state estimation. Examining how guard surface uncertainty affects the…

Robotics · Computer Science 2022-08-02 J. Joe Payne , Nathan J. Kong , Aaron M. Johnson

We study the filtering problem over a Lie group that plays an important role in robotics and aerospace applications. We present a new particle filtering algorithm based on stochastic control. In particular, our algorithm is based on a…

Optimization and Control · Mathematics 2022-12-06 Bo Yuan , Qinsheng Zhang , Yongxin Chen

Motion planning is a key element of robotics since it empowers a robot to navigate autonomously. Particle Swarm Optimization is a simple, yet a very powerful optimization technique which has been effectively used in many complex…

Robotics · Computer Science 2020-08-25 M. Shahab Alam , M. Usman Rafique , M. Umer Khan

State estimation is crucial for the performance and safety of numerous robotic applications. Among the suite of estimation techniques, particle filters have been identified as a powerful solution due to their non-parametric nature. Yet, in…

Robotics · Computer Science 2024-04-23 Akhilan Boopathy , Aneesh Muppidi , Peggy Yang , Abhiram Iyer , William Yue , Ila Fiete

In this work we present a new methodology for orbit propagation, the hybrid perturbation theory, based on the combination of an integration method and a prediction technique. The former, which can be a numerical, analytical or…

Space Physics · Physics 2016-05-31 Juan Félix San-Juan , Montserrat San-Martín , Iván Pérez , Rosario López

This paper develops a hybrid system modeling framework for inverters that switch between grid-following and grid-forming control schemes. In particular, such inverters are modeled as hybrid automata with guard conditions on voltage and…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Bukunmi G. Odunlami , Marcos Netto

Existing Active SLAM methodologies face issues such as slow exploration speed and suboptimal paths. To address these limitations, we propose a hybrid framework combining a Path-Uncertainty Co-Optimization Deep Reinforcement Learning…

Robotics · Computer Science 2025-12-11 Yizhen Yin , Dapeng Feng , Hongbo Chen , Yuhua Qi

The precise description of quantum nuclear fluctuations in atomistic modelling is possible by employing path integral techniques, which involve a considerable computational overhead due to the need of simulating multiple replicas of the…

Chemical Physics · Physics 2017-03-23 Venkat Kapil , Jörg Behler , Michele Ceriotti
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