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Purpose: Often, the inverse deformation vector field (DVF) is needed together with the corresponding forward DVF in 4D reconstruction and dose calculation, adaptive radiation therapy, and simultaneous deformable registration. This study…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Abhishek Kumar Dubey , Alexandros-Stavros Iliopoulos , Xiaobai Sun , Fang-Fang Yin , Lei Ren

Learning the inverse dynamics of soft continuum robots remains challenging due to high-dimensional nonlinearities and complex actuation coupling. Conventional feedback-based controllers often suffer from control chattering due to corrective…

Robotics · Computer Science 2026-04-06 Hang Yang , Fangju Yang , Yangming Zhang , Ibrahim Alsarraj , Yuhao Wang , Zhenye Luo , Zixi Chen , Ke Wu

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

Mathematical Physics · Physics 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

In this paper, the disjunctive and conjunctive lattice piecewise affine (PWA) approximations of explicit linear model predictive control (MPC) are proposed. The training data are generated uniformly in the domain of interest, consisting of…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Jun Xu , Yunjiang Lou , Bart De Schutter , Zhenhua Xiong

The inverse problem of backward diffusion is known to be ill-posed and highly unstable. Backward diffusion processes appear naturally in image enhancement and deblurring applications. It is therefore greatly desirable to establish a…

Numerical Analysis · Mathematics 2020-06-18 Leif Bergerhoff , Marcelo Cárdenas , Joachim Weickert , Martin Welk

Vehicle stability control systems are important components of active safety systems for road transport. The problem of vehicle lateral stability control is addressed in this paper using active front wheel steering and individual braking.…

Systems and Control · Electrical Eng. & Systems 2022-10-20 Mumin Tolga Emirler , Bilin Aksun Guvenc

In this report, we analyze and design feedback policies for discrete-time Piecewise-Affine (PWA) systems with uncertainty in both the affine dynamics and the polytopic partition. The main idea is to utilise the Difference-of-Convex (DC)…

Optimization and Control · Mathematics 2023-03-22 Siddharth H. Nair , Yvonne R. Stürz

Iterative Learning Control (ILC) is useful in spacecraft application for repeated high precision scanning maneuvers. Repetitive Control (RC) produces effective active vibration isolation based on frequency response. This paper considers ILC…

Systems and Control · Electrical Eng. & Systems 2023-06-27 Shuo Liu , Richard W. Longman , Benjamas Panomruttanarug

Control invariant set is critical for guaranteeing safe control and the problem of computing control invariant set for linear discrete-time system is revisited in this paper by using a data-driven approach. Specifically, sample points on…

Optimization and Control · Mathematics 2022-11-24 Jun Xu , Fanglin Chen

The control of large buildings encounters challenges in computational efficiency due to their size and nonlinear components. To address these issues, this paper proposes a Piecewise Affine (PWA)-based distributed scheme for Model Predictive…

Optimization and Control · Mathematics 2026-02-06 Hongyi Li , Jun Xu , Jinfeng Liu

This paper introduces an indirect adaptive fuzzy model predictive control strategy for a nonlinear rotational inverted pendulum with model uncertainties. In the first stage, a nonlinear prediction model is provided based on the fuzzy sets,…

Optimization and Control · Mathematics 2019-03-20 Roja Eini , Sherif Abdelwahed

Symbolic models have been recently used as a sound mathematical formalism for the formal verification and control design of purely continuous and hybrid systems. In this paper we propose a sequence of symbolic models that approximates a…

Systems and Control · Computer Science 2013-05-10 Giordano Pola , Maria D. Di Benedetto

We present a method for representing the closed-loop dynamics of piecewise affine (PWA) systems with bounded additive disturbances and neural network-based controllers as mixed-integer (MI) linear constraints. We show that such…

Systems and Control · Electrical Eng. & Systems 2026-05-06 Dieter Teichrib , Moritz Schulze Darup

Learning-based controllers leverage nonlinear couplings and enhance transients but seldom offer guarantees under tight input constraints. Robust feedback like sliding-mode control (SMC) provides these guarantees but is conservative in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Imran Sayyed , Nandan Kumar Sinha

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations. This paper proposes an adaptive inverse PINN applied to…

Numerical Analysis · Mathematics 2024-11-28 Marco Berardi , Fabio Difonzo , Matteo Icardi

Composite adaptive control (CAC) that integrates direct and indirect adaptive control techniques can achieve smaller tracking errors and faster parameter convergence compared with direct and indirect adaptive control techniques. However,…

Systems and Control · Computer Science 2022-07-08 Yongping Pan , Lin Pan , Haoyong Yu

Neural networks (NN) have been successfully applied to approximate various types of complex control laws, resulting in low-complexity NN-based controllers that are fast to evaluate. However, when approximating control laws using NN,…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Dieter Teichrib , Moritz Schulze Darup

Iterative Learning Control (ILC) can achieve perfect tracking performance for mechatronic systems. The aim of this paper is to present an ILC design tutorial for industrial mechatronic systems. First, a preliminary analysis reveals the…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Tom Oomen

Inverse protein folding, the process of designing sequences that fold into a specific 3D structure, is crucial in bio-engineering and drug discovery. Traditional methods rely on experimentally resolved structures, but these cover only a…

Biomolecules · Quantitative Biology 2023-11-27 Igor Melnyk , Aurelie Lozano , Payel Das , Vijil Chenthamarakshan

Generally, the classic iterative learning control (ILC) methods focus on finding design conditions for repetitive systems to achieve the perfect tracking of any specified trajectory, whereas they ignore a fundamental problem of ILC: whether…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Deyuan Meng , Jingyao Zhang