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The ability to achieve precise and smooth trajectory tracking is crucial for ensuring the successful execution of various tasks involving robotic manipulators. State-of-the-art techniques require accurate mathematical models of the robot…

Robotics · Computer Science 2024-06-21 Mohamed Abdelwahab , Giulio Giacomuzzo , Alberto Dalla Libera , Ruggero Carli

This paper proposes a new class of real-time optimization schemes to overcome system-model mismatch of uncertain processes. This work's novelty lies in integrating derivative-free optimization schemes and multi-fidelity Gaussian processes…

Machine Learning · Computer Science 2021-11-11 Panagiotis Petsagkourakis , Benoit Chachuat , Ehecatl Antonio del Rio-Chanona

Modelling real world systems involving humans such as biological processes for disease treatment or human behavior for robotic rehabilitation is a challenging problem because labeled training data is sparse and expensive, while high…

Systems and Control · Electrical Eng. & Systems 2020-06-16 Wenxin Xiao , Armin Lederer , Sandra Hirche

We present a method for contraction-based feedback motion planning of locally incrementally exponentially stabilizable systems with unknown dynamics that provides probabilistic safety and reachability guarantees. Given a dynamics dataset,…

Robotics · Computer Science 2022-03-02 Glen Chou , Necmiye Ozay , Dmitry Berenson

Ensuring safety is of paramount importance in physical human-robot interaction applications. This requires both adherence to safety constraints defined on the system state, as well as guaranteeing compliant behavior of the robot. If the…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Armin Lederer , Azra Begzadić , Neha Das , Sandra Hirche

Stabilizing a dynamical system is a fundamental problem that serves as a cornerstone for many complex tasks in the field of control systems. The problem becomes challenging when the system model is unknown. Among the Reinforcement Learning…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Ankang Zhang , Ming Chi , Xiaoling Wang , Lintao Ye

In this work, we consider the problem of steering the first two moments of the uncertain state of an unknown discrete-time stochastic nonlinear system to a given terminal distribution in finite time. Toward that goal, first, a…

Optimization and Control · Mathematics 2021-04-05 Alexandros Tsolovikos , Efstathios Bakolas

In many Phase II statistical process control (SPC) problems, the main concern is not whether a monitored process has ever changed, but whether it is currently operating at an acceptable level. This distinction is especially important when…

Computation · Statistics 2026-05-06 Gordon J. Ross

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

Systems and Control · Computer Science 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Data-driven control of nonlinear systems with rigorous guarantees is a challenging problem as it usually calls for nonconvex optimization and requires often knowledge of the true basis functions of the system dynamics. To tackle these…

Optimization and Control · Mathematics 2023-03-27 Tim Martin , Thomas B. Schön , Frank Allgöwer

In this paper, we investigate the optimal output tracking problem for linear discrete-time systems with unknown dynamics using reinforcement learning and robust output regulation theory. This output tracking problem only allows to utilize…

Dynamical Systems · Mathematics 2021-01-22 Ci Chen , Lihua Xie , Yi Jiang , Kan Xie , Shengli Xie

Robust output tracking is addressed in this paper for a heat equation with Neumann boundary conditions and anti-collocated boundary input and output. The desired reference tracking is solved using the well-known flatness and Lyapunov…

Optimization and Control · Mathematics 2022-04-27 Diego Gutiérrez-Oribio , Yury Orlov , Ioannis Stefanou , Franck Plestan

Safely controlling unknown dynamical systems is one of the biggest challenges in the field of control. Oftentimes, an approximate model of a system's dynamics exists which provides beneficial information for the selection of controls.…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Ethan Lau , Vaibhav Srivastava , Shaunak D. Bopardikar

One major challenge for autonomous attitude takeover control for on-orbit servicing of spacecraft is that an accurate dynamic motion model of the combined vehicles is highly nonlinear, complex and often costly to identify online, which…

Systems and Control · Electrical Eng. & Systems 2023-10-25 Yuhan Liu , Pengyu Wang , Chang-Hun Lee , Roland Tóth

A stochastic model predictive control framework over unreliable Bernoulli communication channels, in the presence of unbounded process noise and under bounded control inputs, is presented for tracking a reference signal. The data losses in…

Optimization and Control · Mathematics 2020-12-25 Prabhat K. Mishra , Sanket S. Diwale , Colin N. Jones , Debasish Chatterjee

Parameter identification and comparison of dynamical systems is a challenging task in many fields. Bayesian approaches based on Gaussian process regression over time-series data have been successfully applied to infer the parameters of a…

Machine Learning · Statistics 2019-03-04 Philippe Wenk , Alkis Gotovos , Stefan Bauer , Nico Gorbach , Andreas Krause , Joachim M. Buhmann

This work is concerned with the convergence of Gaussian process regression. A particular focus is on hierarchical Gaussian process regression, where hyper-parameters appearing in the mean and covariance structure of the Gaussian process…

Numerical Analysis · Mathematics 2020-07-20 Aretha L Teckentrup

This paper deals with the tracking control problem for a class of unknown pure feedback system with pure state constraints on the state variables and unknown time-varying bounded disturbances. An adaptive controller is presented for such…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Pankaj Kumar Mishra , Nishchal K Verma

This paper introduces a class of time-varying controllers for Euler-Lagrange systems such that the convergence occurs at an arbitrary finite time, independently of initial conditions, and free of chattering. The proposed controller is based…

Optimization and Control · Mathematics 2021-08-26 Amir Shakouri , Nima Assadian

An important issue in model-based control design is that an accurate dynamic model of the system is generally nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Yuhan Liu , Pengyu Wang , Roland Tóth