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For systems with uncertain linear models, bounded additive disturbances and state and control constraints, a robust model predictive control algorithm incorporating online model adaptation is proposed. Sets of model parameters are…

Optimization and Control · Mathematics 2020-07-16 Xiaonan Lu , Mark Cannon , Denis Koksal-Rivet

In this paper, we establish a unified framework for subspace identification (SID) of linear parameter-varying (LPV) systems to estimate LPV state-space (SS) models in innovation form. This framework enables us to derive novel LPV SID…

Systems and Control · Electrical Eng. & Systems 2020-08-11 P. B. Cox , R. Tóth

The performance of model-based control techniques strongly depends on the quality of the employed dynamics model. If strong guarantees are desired, it is therefore common to robustly treat all possible sources of uncertainty, such as model…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Elena Arcari , Andrea Iannelli , Andrea Carron , Melanie N. Zeilinger

Ensuring safety of nonlinear systems under model uncertainty and external disturbances is crucial, especially for real-world control tasks. Predictive methods such as robust model predictive control (RMPC) require solving nonconvex…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Zeyang Li , Chuxiong Hu , Weiye Zhao , Changliu Liu

This paper develops a new control framework for linear parameter-varying (LPV) systems with time-varying state delays by integrating parameter-dependent Lyapunov functions with integral quadratic constraints (IQCs). A novel delay-dependent…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Fen Wu

A comprehensive approach addressing identification and control for learningbased Model Predictive Control (MPC) for linear systems is presented. The design technique yields a data-driven MPC law, based on a dataset collected from the…

Systems and Control · Computer Science 2018-10-31 Enrico Terzi , Lorenzo Fagiano , Marcello Farina , Riccardo Scattolini

Ensuring stability of discrete-time (DT) linear parameter-varying (LPV) input-output (IO) models estimated via system identification methods is a challenging problem as known stability constraints can only be numerically verified, e.g.,…

Systems and Control · Electrical Eng. & Systems 2024-03-13 Johan Kon , Jeroen van de Wijdeven , Dennis Bruijnen , Roland Tóth , Marcel Heertjes , Tom Oomen

Autonomous driving is a complex and highly dynamic process that ensures controlling the coupled longitudinal and lateral vehicle dynamics. Model predictive control, distinguished by its predictive feature, optimal performance, and ability…

Optimization and Control · Mathematics 2025-11-04 Yassine Kebbati , Naima Ait-Oufroukh , Dalil Ichalal , Vincent Vigneron

In this work, we propose novel LMI-based controller synthesis frameworks for periodically time-varying Markov-jump linear systems. We first discuss the necessary conditions for mean square stability and derive Lyapunov-like conditions for…

Optimization and Control · Mathematics 2024-09-19 Shaurya Shrivastava , Kenshiro Oguri

This work proposes a solution for the longitudinal and lateral control problem of urban autonomous vehicles using a gain scheduling LPV control approach. Using the kinematic and dynamic vehicle models, a linear parameter varying (LPV)…

Systems and Control · Computer Science 2017-12-04 Eugenio Alcalá , Vicenç Puig , Joseba Quevedo , Teresa Escobet

We introduce a novel data-driven method to mitigate the risk of cascading failures in delayed discrete-time Linear Time-Invariant (LTI) systems. Our approach involves formulating a distributionally robust finite-horizon optimal control…

Optimization and Control · Mathematics 2023-10-19 Guangyi Liu , Arash Amini , Vivek Pandey , Nader Motee

This paper presents a heterogeneously parameterized tube-based model predictive control (MPC) design applicable to linear parameter-varying (LPV) systems. In a heterogeneous tube, the parameterizations of the tube cross sections and the…

Systems and Control · Electrical Eng. & Systems 2019-10-21 Jurre Hanema , Mircea Lazar , Roland Tóth

We propose a robust data-driven model predictive control (MPC) scheme to control linear time-invariant (LTI) systems. The scheme uses an implicit model description based on behavioral systems theory and past measured trajectories. In…

Systems and Control · Electrical Eng. & Systems 2021-04-19 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data. By means of constructing a semi-definite program subject to linear matrix…

Systems and Control · Electrical Eng. & Systems 2024-07-10 Chris Verhoek , Julian Berberich , Sofie Haesaert , Frank Allgöwer , Roland Tóth

We present a robust model predictive control method (MPC) for discrete-time linear time-delayed systems with state and control input constraints. The system is subject to both polytopic model uncertainty and additive disturbances. In the…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Shaoru Chen , Ning-Yuan Li , Victor M. Preciado , Nikolai Matni

In this paper, we present a novel Model Predictive Control method for autonomous robots subject to arbitrary forms of uncertainty. The proposed Risk-Aware Model Predictive Path Integral (RA-MPPI) control utilizes the Conditional…

Robotics · Computer Science 2022-09-27 Ji Yin , Zhiyuan Zhang , Panagiotis Tsiotras

This paper presents a stabilizing tube-based MPC synthesis for LPV systems. We employ terminal constraint sets which are required to be controlled periodically contractive. Periodically (or finite-step) contractive sets are easier to…

Systems and Control · Computer Science 2017-06-27 Jurre Hanema , Mircea Lazar , Roland Tóth

This article shows that distributionally robust controller synthesis as investigated in \cite{taskesen2024distributionally} can be formulated as a convex linear matrix inequality (LMI) synthesis problem. To this end, we rely on…

Optimization and Control · Mathematics 2025-10-07 Dennis Gramlich , Shuhao Yan , Carsten W. Scherer , Christian Ebenbauer%

Estimating and detecting faults is crucial in ensuring safe and efficient automated systems. In the presence of disturbances, noise or varying system dynamics, such estimation is even more challenging. To address this challenge, this…

Optimization and Control · Mathematics 2021-12-13 Chris van der Ploeg , Emilia Silvas , Nathan van de Wouw , Peyman Mohajerin Esfahani

This paper develops a robust control synthesis method for uncertain linear systems with input saturation in the framework of integral quadratic constraints (IQCs). The system is reformulated as a linear fractional representation (LFR) that…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Xu Zhang , Fen Wu
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