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We propose a simple and computationally efficient approach for designing a robust Model Predictive Controller (MPC) for constrained uncertain linear systems. The uncertainty is modeled as an additive disturbance and an additive error on the…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Monimoy Bujarbaruah , Ugo Rosolia , Yvonne R. Stürz , Francesco Borrelli

For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model predictive control schemes without stabilizing terminal…

Optimization and Control · Mathematics 2011-09-27 Lars Grüne , Jürgen Pannek , Martin Seehafer , Karl Worthmann

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

This letter presents a new predictive control architecture for high-dimensional robotic systems. As opposed to a conventional Model Predictive Control (MPC) approach to locomotion that formulates a hierarchical sequence of optimization…

Robotics · Computer Science 2021-05-13 He Li , Robert J. Frei , Patrick M. Wensing

We analyze a time-coarsening strategy for model predictive control (MPC) that we call diffusing-horizon MPC. This strategy seeks to overcome the computational challenges associated with optimal control problems that span multiple…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , Victor M. Zavala

A stochastic model predictive control (MPC) framework is presented in this paper for nonlinear affine systems with stability and feasibility guarantee. We first introduce the concept of stochastic control Lyapunov-barrier function (CLBF)…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Weijiang Zheng , Bing Zhu

This paper proposes a stabilising model predictive control (MPC) scheme with preview information of disturbance for nonlinear systems. The proposed MPC algorithm is able to not only reject disturbance by making use of disturbance preview…

Systems and Control · Electrical Eng. & Systems 2022-02-28 Xing Fang , Wen-Hua Chen

In many mechatronic applications, controller input costs are negligible and time optimality is of great importance to maximize the productivity by executing fast positioning maneuvers. As a result, the obtained control input has mostly a…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Joe Ismail , Steven Liu

Model predictive control (MPC) is one of the most successful modern control methods. It relies on repeatedly solving a finite-horizon optimal control problem and applying the beginning piece of the optimal input. In this paper, we develop a…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Eya Guizani , Julian Berberich

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

Optimization and Control · Mathematics 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

Safety remains a central challenge in control of dynamical systems, particularly when the boundaries of unsafe sets are complex (e.g., nonconvex, nonsmooth) or unknown. This paper proposes a learning-enabled framework for safety-critical…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Shuo Liu , Zhe Huang , Jun Zeng , Koushil Sreenath , Calin A. Belta

This paper studies the problem of risk-averse receding horizon motion planning for agents with uncertain dynamics, in the presence of stochastic, dynamic obstacles. We propose a model predictive control (MPC) scheme that formulates the…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

This paper considers a risk-constrained infinite-horizon optimal control problem and proposes to solve it in an iterative manner. Each iteration of the algorithm generates a trajectory from the starting point to the target equilibrium state…

Optimization and Control · Mathematics 2021-11-29 Alireza Zolanvari , Ashish Cherukuri

Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

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

Many chemical processes exhibit diverse timescale dynamics with a strong coupling between timescale sensitive variables. Model predictive control with a non-uniformly spaced optimisation horizon is an effective approach to multi-timescale…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Ryan McCloy , Lai Wei , Jie Bao

The computational burden of model predictive control (MPC) limits its application on real-time systems, such as robots, and often requires the use of short prediction horizons. This not only affects the control performance, but also…

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Daniel Tabas , Baosen Zhang

The goal of this thesis is to propose the combination of Control-Barrier-Functions (CBF) with Model-Predictive-Control (MPC) resulting in the novel Model-Predictive-Control-Barrier-Function (MPCBF). It can be shown, that the performance of…

Robotics · Computer Science 2020-11-23 Johann Lange