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Real-time optimal control remains a fundamental challenge in robotics, especially for nonlinear systems with stringent performance requirements. As one of the representative trajectory optimization algorithms, the iterative Linear Quadratic…

Systems and Control · Electrical Eng. & Systems 2025-04-07 Yue Wang , Haoyu Wang , Zhaoxing Li

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

In distributed model predictive control (MPC), the control input at each sampling time is computed by solving a large-scale optimal control problem (OCP) over a finite horizon using distributed algorithms. Typically, such algorithms require…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Giuseppe Belgioioso , Dominic Liao-McPherson , Mathias Hudoba de Badyn , Nicolas Pelzmann , John Lygeros , Florian Dörfler

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

Systems and Control · Electrical Eng. & Systems 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

We demonstrate the surprising real-world effectiveness of a very simple approach to whole-body model-predictive control (MPC) of quadruped and humanoid robots: the iterative LQR (iLQR) algorithm with MuJoCo dynamics and finite-difference…

Collision avoidance is one of the most challenging tasks people need to consider for developing the self-driving technology. In this paper we propose a new spatiotemporal motion planning algorithm that efficiently solves a constrained…

Robotics · Computer Science 2022-02-18 Changxi You

In this work we address the problem of performing a repetitive task when we have uncertain observations and dynamics. We formulate this problem as an iterative infinite horizon optimal control problem with output feedback. Previously, this…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

Sampling-based model predictive control (MPC) algorithms, such as model predictive path integral (MPPI), enable approximate, gradient-free solutions to optimal control problems by drawing samples from a proposal distribution, evaluating…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Markus Walker , Marcel Reith-Braun , Daniel Frisch , Uwe D. Hanebeck

Cooperative control of groups of autonomous vehicles (AVs), i.e., platoons, is a promising direction to improving the efficiency of autonomous transportation systems. In this context, distributed co-optimization of both vehicle speed and…

Systems and Control · Electrical Eng. & Systems 2026-01-27 Samuel Mallick , Gianpietro Battocletti , Dimitris Boskos , Azita Dabiri , Bart De Schutter

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

The problem of robust distributed control arises in several large-scale systems, such as transportation networks and power grid systems. In many practical scenarios controllers might not have enough information to make globally optimal…

Systems and Control · Computer Science 2019-09-26 Luca Furieri , Maryam Kamgarpour

In this work we evaluate Iterative Linear Quadratic Regulator(ILQR) for trajectory tracking of two different kinds of wheeled mobile robots namely Warthog (Fig. 1), an off-road holonomic robot with skid-steering and Polaris GEM e6 [1], a…

Robotics · Computer Science 2025-05-14 Akhil Nagariya , Srikanth Saripalli

This paper presents a distributed learning model predictive control (DLMPC) scheme for distributed linear time invariant systems with coupled dynamics and state constraints. The proposed solution method is based on an online distributed…

Systems and Control · Electrical Eng. & Systems 2020-06-25 Yvonne R. Stürz , Edward L. Zhu , Ugo Rosolia , Karl H. Johansson , Francesco Borrelli

This paper proposes a novel real-time affordable solution to the trajectory tracking control problem for self-driving cars subject to longitudinal and steering angular velocity constraints. To this end, we develop a dual-mode Model…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Cristian Tiriolo , Walter Lucia

We present an algorithm, based on the Differential Dynamic Programming framework, to handle trajectory optimization problems in which the horizon is determined online rather than fixed a priori. This algorithm exhibits exact one-step…

Robotics · Computer Science 2021-11-18 Kyle Stachowicz , Evangelos A. Theodorou

Large-scale ride-hailing systems often combine real-time routing at the individual request level with a macroscopic Model Predictive Control (MPC) optimization for dynamic pricing and vehicle relocation. The MPC relies on a demand forecast…

Artificial Intelligence · Computer Science 2021-11-08 Enpeng Yuan , Pascal Van Hentenryck

Trajectory optimization and model predictive control are essential techniques underpinning advanced robotic applications, ranging from autonomous driving to full-body humanoid control. State-of-the-art algorithms have focused on data-driven…

Systems and Control · Electrical Eng. & Systems 2021-11-15 Hany Abdulsamad , Tim Dorau , Boris Belousov , Jia-Jie Zhu , Jan Peters

This paper considers a risk-constrained motion planning problem and aims to find the solution combining the concepts of iterative model predictive control (MPC) and data-driven distributionally robust (DR) risk-constrained optimization. In…

Optimization and Control · Mathematics 2023-10-09 Alireza Zolanvari , Ashish Cherukuri

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

Data-driven Model Predictive Control (MPC), where the system model is learned from data with machine learning, has recently gained increasing interests in the control community. Gaussian Processes (GP), as a type of statistical models, are…

Systems and Control · Computer Science 2019-10-03 Truong X. Nghiem