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The control of constrained systems using model predictive control (MPC) becomes more challenging when full state information is not available and when the nominal system model and measurements are corrupted by noise. Since these conditions…

Systems and Control · Electrical Eng. & Systems 2020-02-19 Joseph Lorenzetti , Marco Pavone

This work presents a stochastic tube-based model predictive control framework that guarantees hard input constraint satisfaction for linear systems subject to unbounded additive disturbances. The approach relies on a structured design of…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Carlo Karam , Matteo Tacchi , Mirko Fiacchini

In this work, we propose a tube-based MPC scheme for state- and input-constrained linear systems subject to dynamic uncertainties characterized by dynamic integral quadratic constraints (IQCs). In particular, we extend the framework of…

Optimization and Control · Mathematics 2022-05-03 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

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

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

Systems and Control · Electrical Eng. & Systems 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

Model predictive control (MPC) is an effective approach to control multivariable dynamic systems with constraints. Most real dynamic models are however affected by plant-model mismatch and process uncertainties, which can lead to…

Systems and Control · Electrical Eng. & Systems 2022-11-29 Zhengang Zhong , Ehecatl Antonio del Rio-Chanona , Panagiotis Petsagkourakis

We present Self-Tuning Tube-based Model Predictive Control (STT-MPC), an adaptive robust control algorithm for uncertain linear systems with additive disturbances based on the least-squares estimator and polytopic tubes. Our algorithm…

Systems and Control · Electrical Eng. & Systems 2022-10-04 Damianos Tranos , Alessio Russo , Alexandre Proutiere

This paper presents an elastic tube-based model predictive control (MPC) framework for unknown discrete-time linear systems subject to disturbances. Unlike most existing elastic tube-based MPC methods, we do not assume perfect knowledge of…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Niyousha Ghiasi , Bahare Kiumarsi , Hamidreza Modares

This work proposes an adaptive output feedback model predictive control (MPC) framework for uncertain systems subject to external disturbances. In the absence of exact knowledge about the plant parameters and complete state measurements,…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Anchita Dey , Shubhendu Bhasin

In this paper, we present a tube-based framework for robust adaptive model predictive control (RAMPC) for nonlinear systems subject to parametric uncertainty and additive disturbances. Set-membership estimation is used to provide accurate…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Peter Kötting , Raffaele Soloperto , Frank Allgöwer , Matthias A. Müller

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

Systems and Control · Electrical Eng. & Systems 2024-02-21 Daniel D. Leister , Justin P. Koeln

This work develops a robust nonlinear Model Predictive Control (MPC) framework for path tracking in autonomous vehicles operating at the limits of handling utilizing a Control Contraction Metric (CCM) derived from a perturbed dynamic single…

Systems and Control · Electrical Eng. & Systems 2026-02-11 Joscha F. Bongard , Valentin L. Krieger , Boris Lohmann

This paper is concerned with model predictive control (MPC) of discrete-time linear systems subject to bounded additive disturbance and mixed constraints on the state and input, whereas the true disturbance set is unknown. Unlike most…

Optimization and Control · Mathematics 2024-05-22 Yulong Gao , Shuhao Yan , Jian Zhou , Mark Cannon , Alessandro Abate , Karl H. Johansson

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, and the challenge is increased manyfold in the absence of state measurements. In this paper, we propose an…

Systems and Control · Electrical Eng. & Systems 2023-01-11 Anchita Dey , Abhishek Dhar , Shubhendu Bhasin

In this paper, we present a nonlinear robust model predictive control (MPC) framework for general (state and input dependent) disturbances. This approach uses an online constructed tube in order to tighten the nominal (state and input)…

Systems and Control · Electrical Eng. & Systems 2020-06-05 Johannes Köhler , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

Robust design of autonomous systems under uncertainty is an important yet challenging problem. This work proposes a robust controller that consists of a state estimator and a tube based predictive control law. The class of linear systems…

Systems and Control · Electrical Eng. & Systems 2022-10-11 Tianchen Ji , Junyi Geng , Katherine Driggs-Campbell

We propose a robust model predictive control (MPC) method for discrete-time linear systems with polytopic model uncertainty and additive disturbances. Optimizing over linear time-varying (LTV) state feedback controllers has been…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Shaoru Chen , Victor M. Preciado , Manfred Morari , Nikolai Matni

In this work, we propose an output-feedback tube-based model predictive control (MPC) scheme for linear systems under dynamic uncertainties that are described via integral quadratic constraints (IQC). By leveraging IQCs, a large class of…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Lukas Schwenkel , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

This paper is about a class of distributionally robust model predictive controllers (MPC) for nonlinear stochastic processes that evaluate risk and control performance measures by propagating ambiguity sets in the space of state probability…

Optimization and Control · Mathematics 2022-06-22 Fan Wu , Mario E. Villanueva , Boris Houska