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We present a framework for learning of modeling uncertainties in Linear Time Invariant (LTI) systems. We propose a methodology to extend the dynamics of an LTI (without uncertainty) with an uncertainty model, based on measured data, to…

Systems and Control · Electrical Eng. & Systems 2023-11-01 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

This paper addresses the problem of robust process and sensor fault reconstruction for nonlinear systems. The proposed method augments the system dynamics with an approximated internal linear model of the combined contribution of known…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

Considering nonlinear processes which are subject to unknown but measurable disturbances, we provide both stability and feasibility proofs for nonlinear model predictive controllers with abstract updates without the use of stabilizing…

Optimization and Control · Mathematics 2013-09-09 J. Pannek , J. Michael , M. Gerdts

A new approach for robust Hinfty filtering for a class of Lipschitz nonlinear systems with time-varying uncertainties both in the linear and nonlinear parts of the system is proposed in an LMI framework. The admissible Lipschitz constant of…

Systems and Control · Computer Science 2014-03-04 Masoud Abbaszadeh , Horacio J. Marquez

This paper proposes a nonlinear estimator for the robust reconstruction of process and sensor faults for a class of uncertain nonlinear systems. The proposed fault estimation method augments the system dynamics with an ultra-local (in time)…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Farhad Ghanipoor , Carlos Murguia , Peyman Mohajerin Esfahani , Nathan van de Wouw

We propose an Adaptive MPC framework for uncertain linear systems to achieve robust satisfaction of state and input constraints. The uncertainty in the system is assumed additive, state dependent, and globally Lipschitz with a known…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Monimoy Bujarbaruah , Siddharth H. Nair , Francesco Borrelli

A generalized dynamical robust nonlinear filtering framework is established for a class of Lipschitz differential algebraic systems, in which the nonlinearities appear both in the state and measured output equations. The system is assumed…

Systems and Control · Computer Science 2014-02-25 Masoud Abbaszadeh

In this work, we propose a non-parametric technique for online modeling of systems with unknown nonlinear Lipschitz dynamics. The key idea is to successively utilize measurements to approximate the graph of the state-update function using…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Siddharth H. Nair , Monimoy Bujarbaruah , Francesco Borrelli

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous applied and control problems. Yet, practically valuable results are rare in this area. This paper develops a novel approach, which…

Dynamical Systems · Mathematics 2018-08-29 Mark A. Pinsky , Steve Koblik

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2021-10-15 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Nonlinear systems with model uncertainty are often described by stochastic differential equations. Some techniques from random dynamical systems are discussed. They are relevant to better understanding of solution processes of stochastic…

Dynamical Systems · Mathematics 2008-11-25 Jinqiao Duan

Standard model-based control design deteriorates when the system dynamics change during operation. To overcome this challenge, online and adaptive methods have been proposed in the literature. In this work, we consider the class of…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Marcell Bartos , Johannes Köhler , Florian Dörfler , Melanie N. Zeilinger

We propose a novel approach to design a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertain system is modeled as linear parameter varying with additive disturbance. Set bounds for the system…

Systems and Control · Electrical Eng. & Systems 2022-08-11 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R Stürz , Xiaojing Zhang , Francesco Borrelli

Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous engineering, natural science and control problems. Yet, practically valuable results are rare in this area. This paper develops a…

Dynamical Systems · Mathematics 2020-01-22 Mark A. Pinsky , Steve Koblik

This work addresses the design of static output feedback control of discrete-time nonlinear systems satisfying a local Lipschitz continuity condition with time-varying uncertainties. The controller has also a guaranteed disturbance…

Systems and Control · Computer Science 2016-06-28 Masoud Abbaszadeh , Horacio J. Marquez

Extracting dynamic models from data is of enormous importance in understanding the properties of unknown systems. In this work, we employ Lipschitz neural networks, a class of neural networks with a prescribed upper bound on their Lipschitz…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Shiqing Wei , Prashanth Krishnamurthy , Farshad Khorrami

We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available…

Systems and Control · Electrical Eng. & Systems 2020-07-22 Edouard Leurent , Denis Efimov , Odalric-Ambrym Maillard

A strategy is proposed for adaptive stabilization of linear systems, depending on an uncertain parameter. Offline, the Riccati stabilizing feedback input control operators, corresponding to parameters in a finite training set of chosen…

Optimization and Control · Mathematics 2023-07-27 Philipp A. Guth , Karl Kunisch , Sérgio S. Rodrigues

Multimodal foundation models offer promising advancements for enhancing driving perception systems, but their high computational and financial costs pose challenges. We develop a method that leverages foundation models to refine predictions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Yunhao Yang , Yuxin Hu , Mao Ye , Zaiwei Zhang , Zhichao Lu , Yi Xu , Ufuk Topcu , Ben Snyder
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