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20202026
most citedLearning reduced-order models of quadratic control systems from input-output data

3 citations · 3 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.OC2026

LPV Updates for Sequentially Linearized Moving Horizon Estimation of Nonlinear Systems

Jiaxin Ji, Jan Heiland, Dimitrios S. Karachalios +1

Moving horizon estimation (MHE) provides high precision state estimation for nonlinear systems, but it is often limited by the substantial computational demands of solving a nonlin…

math.OC2024

Stochastic Error Bounds in Nonlinear Model Predictive Control with Gaussian Processes via Parameter-Varying Embeddings

Dimitrios S. Karachalios, Hossam S. Abbas

This study utilized the Gaussian Processes (GPs) regression framework to establish stochastic error bounds between the actual and predicted state evolution of nonlinear systems. Th…

math.OC2024

Closed-Loop Identification and Tracking Control of a Ballbot

Tobias Fischer, Dimitrios S. Karachalios, Ievgen Zhavzharov +1

Identifying and controlling an unstable, underactuated robot to enable reference tracking is a challenging control problem. In this paper, a ballbot (robot balancing on a ball) is…

math.OC2024

Efficient Nonlinear MPC by Leveraging LPV Embedding and Sequential Quadratic Programming

Dimitrios S. Karachalios, Hossam S. Abbas

In this paper, we present efficient solutions for the nonlinear program (NLP) associated with nonlinear model predictive control (NMPC) by leveraging the linear parameter-varying (…

math.OC2024

Parameter Refinement of a Ballbot and Predictive Control for Reference Tracking with Linear Parameter-Varying Embedding

Dimitrios S. Karachalios, Hossam S. Abbas

In this study, we implement a control method for stabilizing a ballbot that simultaneously follows a reference. A ballbot is a robot balancing on a spherical wheel where the single…

math.OC2023

Error Bounds in Nonlinear Model Predictive Control with Linear Differential Inclusions of Parametric-Varying Embeddings

Dimitrios S. Karachalios, Maryam Nezami, Georg Schildbach +1

In this work, we provide deterministic error bounds for the actual state evolution of nonlinear systems embedded with the linear parametric variable (LPV) formulation and steered b…