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This paper proposes an algorithm capable of driving a system to follow a piecewise linear trajectory without prior knowledge of the system dynamics. Motivated by a critical failure scenario in which a system can experience an abrupt change…

Robotics · Computer Science 2025-10-06 Taha Shafa , Yiming Meng , Melkior Ornik

Robust control theory has been successfully applied to numerous real-world problems using a small set of devices called {\it controllers}. However, the real systems represented by networks contain unreliable components and modern robust…

Physics and Society · Physics 2015-06-23 Jose C. Nacher , Tatsuya Akutsu

This paper is concerned with the robust tracking control of linear uncertain systems, whose unknown system parameters and disturbances are bounded within ellipsoidal sets. We propose an adaptive robust control that can actively learn the…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Xuehui Ma , Shiliang Zhang , Yushuai Li , Fucai Qian , Tingwen Huang

Safety in dynamic systems with prevalent uncertainties is crucial. Current robust safe controllers, designed primarily for uni-modal uncertainties, may be either overly conservative or unsafe when handling multi-modal uncertainties. To…

Robotics · Computer Science 2023-10-02 Tianhao Wei , Liqian Ma , Ravi Pandya , Changliu Liu

We consider robust control synthesis for linear systems with complex specifications that are affected by uncertain disturbances. This work is motivated by autonomous systems interacting with partially known, time-varying environments. Given…

Optimization and Control · Mathematics 2018-08-27 Damian Frick , Tony A. Wood , Gian Ulli , Maryam Kamgarpour

A computer model can be used for predicting an output only after specifying the values of some unknown physical constants known as calibration parameters. The unknown calibration parameters can be estimated from real data by conducting…

Methodology · Statistics 2021-06-18 Arvind Krishna , V. Roshan Joseph , Shan Ba , William A. Brenneman , William R. Myers

This paper investigates adaptive control of nonlinear robot manipulators with parametric uncertainty. Motivated by generating closed-loop robot dynamics with enhanced transmission capability of a reference torque and with connection to…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Hanlei Wang

This paper proposes a new framework and several results to quantify the performance of data-driven state-feedback controllers for linear systems against targeted perturbations of the training data. We focus on the case where subsets of the…

Systems and Control · Electrical Eng. & Systems 2019-12-24 Rajasekhar Anguluri , Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

Control of nonlinear dynamical systems is a complex and multifaceted process. Essential elements of many engineering systems include high fidelity physics-based modeling, offline trajectory planning, feedback control design, and data…

Optimization and Control · Mathematics 2022-02-08 Joseph Hart , Bart van Bloemen Waanders , Lisa Hood , Julie Parish

This paper proposes risk-averse and risk-agnostic formulations to robust design in which solutions that satisfy the system requirements for a set of scenarios are pursued. These scenarios, which correspond to realizations of uncertain…

Optimization and Control · Mathematics 2025-11-07 Luis G. Crespo , Bret Stanford , Natalia Alexandrov

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

We present a new, scalable alternative to the structured singular value, which we call $\nu$, provide a convex upper bound, study their properties and compare them to $\ell_1$ robust control. The analysis relies on a novel result on the…

Optimization and Control · Mathematics 2022-04-13 Olle Kjellqvist , John C. Doyle

In an open-loop experiment, an input sequence is applied to an unknown linear time-invariant system (in continuous or discrete time) affected also by an unknown-but-bounded disturbance sequence (with an energy or instantaneous bound); the…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

As we transition towards the deployment of data-driven controllers for black-box cyberphysical systems, complying with hard safety constraints becomes a primary concern. Two key aspects should be addressed when input-output data are…

Systems and Control · Electrical Eng. & Systems 2022-09-13 Luca Furieri , Baiwei Guo , Andrea Martin , Giancarlo Ferrari-Trecate

This paper presents a novel adaptive control methodology for uncertain systems with time-varying unknown parameters and time-varying bounded disturbance. The adaptive controller ensures uniformly bounded transient and asymptotic tracking…

Optimization and Control · Mathematics 2007-05-23 Chengyu Cao , Naira Hovakimyan

Motivated by the goal of having a building block in the direct design of data-driven controllers for nonlinear systems, we show how, for an unknown discrete-time bilinear system, the data collected in an offline open-loop experiment enable…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

Systematic design and verification of advanced control strategies for complex systems under uncertainty largely remains an open problem. Despite the promise of blackbox optimization methods for automated controller tuning, they generally…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Joel A. Paulson , Ali Mesbah

We consider tracking control for uncertain linear systems with known relative degree which are possibly non-minimum phase, i.e., their zero dynamics may have an unstable part. For a given sufficiently smooth reference signal we design a…

Optimization and Control · Mathematics 2020-02-05 Thomas Berger

Robust controllers ensure stability in feedback loops designed under uncertainty but at the cost of performance. Model uncertainty in time-invariant systems can be reduced by recently proposed learning-based methods, which improve the…

Systems and Control · Electrical Eng. & Systems 2023-01-18 Alexander von Rohr , Friedrich Solowjow , Sebastian Trimpe

We design the controls of physical systems that are faced by uncertainties. The system dynamics are described by random hyperbolic balance laws. The control aims to steer the system to a desired state under uncertainties. We propose a…

Optimization and Control · Mathematics 2021-07-20 Stephan Gerster , Markus Bambach , Michael Herty , Muhammad Imran