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This paper presents a multirotor control architecture, where Model Predictive Path Integral Control (MPPI) and L1 adaptive control are combined to achieve both fast model predictive trajectory planning and robust trajectory tracking. MPPI…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Jintasit Pravitra , Kasey A. Ackerman , Chengyu Cao , Naira Hovakimyan , Evangelos A. Theodorou

Task and Motion Planning (TAMP) has made strides in complex manipulation tasks, yet the execution robustness of the planned solutions remains overlooked. In this work, we propose a method for reactive TAMP to cope with runtime uncertainties…

We present a data-driven optimal control framework that can be viewed as a generalization of the path integral (PI) control approach. We find iterative feedback control laws without parameterization based on probabilistic representation of…

Systems and Control · Computer Science 2016-02-02 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

This paper introduces an indirect adaptive fuzzy model predictive control strategy for a nonlinear rotational inverted pendulum with model uncertainties. In the first stage, a nonlinear prediction model is provided based on the fuzzy sets,…

Optimization and Control · Mathematics 2019-03-20 Roja Eini , Sherif Abdelwahed

Model Predictive Path Integral (MPPI) control, Reinforcement Learning (RL), and Diffusion Models have each demonstrated strong performance in trajectory optimization, decision-making, and motion planning. However, these approaches have…

Machine Learning · Computer Science 2025-03-05 Yankai Li , Mo Chen

Decentralized multi-agent navigation under uncertainty is a complex task that arises in numerous robotic applications. It requires collision avoidance strategies that account for both kinematic constraints, sensing and action execution…

Robotics · Computer Science 2025-08-01 Stepan Dergachev , Konstantin Yakovlev

Sampling-based model predictive control (MPC) is effective for nonlinear systems but often produces non-smooth control inputs due to random sampling. To address this issue, we extend the model predictive path integral (MPPI) framework with…

Systems and Control · Electrical Eng. & Systems 2026-01-08 Markus Walker , Marcel Reith-Braun , Tai Hoang , Gerhard Neumann , Uwe D. Hanebeck

This paper presents a model predictive control (MPC) for dynamic systems whose nonlinearity and uncertainty are modelled by deep neural networks (NNs), under input and state constraints. Since the NN output contains a high-order complex…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Jianglin Lan

Sampling-based model-predictive controllers have become a powerful optimization tool for planning and control problems in various challenging environments. In this paper, we show how the default choice of uncorrelated Gaussian distributions…

To overcome the oscillation problem in the classical momentum-based optimizer, recent work associates it with the proportional-integral (PI) controller, and artificially adds D term producing a PID controller. It suppresses oscillation with…

Machine Learning · Computer Science 2019-01-28 Dan Wang , Mengqi Ji , Yong Wang , Haoqian Wang , Lu Fang

This paper proposes Mode-Aware Probabilistic Scheduling (MAPS), a novel adaptive control framework tailored for DC motor systems experiencing varying friction. MAPS uniquely integrates an Interacting Multiple Model (IMM) estimator with a…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Taehun Kim , Guntae Kim , Cheolmin Jeong , Chang Mook Kang

This paper proposes Constrained Sampling Cluster Model Predictive Path Integral (CSC-MPPI), a novel constrained formulation of MPPI designed to enhance trajectory optimization while enforcing strict constraints on system states and control…

Robotics · Computer Science 2025-07-15 Leesai Park , Keunwoo Jang , Sanghyun Kim

This article presents the real-time implementation of the model predictive control for tracking formulation to control a two-wheeled inverted pendulum robot. This formulation offers several advantages over standard MPC formulations at the…

Systems and Control · Electrical Eng. & Systems 2021-03-29 Pablo Krupa , Jose Camara , Ignacio Alvarado , Daniel Limon , Teodoro Alamo

Four-wheel independent drive and steering vehicle (4WIDS Vehicle, Swerve Drive Robot) has the ability to move in any direction by its eight degrees of freedom (DoF) control inputs. Although the high maneuverability enables efficient…

Robotics · Computer Science 2024-09-16 Mizuho Aoki , Kohei Honda , Hiroyuki Okuda , Tatsuya Suzuki

This work presents an optimal sampling-based method to solve the real-time motion planning problem in static and dynamic environments, exploiting the Rapid-exploring Random Trees (RRT) algorithm and the Model Predictive Path Integral (MPPI)…

Robotics · Computer Science 2023-01-31 Chuyuan Tao , Hunmin Kim , Naira Hovakimyan

Balancing is a fundamental need for legged robots due to their unstable floating-base nature. Balance control has been thoroughly studied for simple models such as the linear inverted pendulum thanks to the concept of the instantaneous…

Robotics · Computer Science 2021-07-07 Junwei Liu , Hua Chen , Patrick M. Wensing , Wei Zhang

This paper presents a hybrid trajectory optimization method designed to generate collision-free, smooth trajectories for autonomous mobile robots. By combining sampling-based Model Predictive Path Integral (MPPI) control with gradient-based…

Robotics · Computer Science 2024-10-31 Min-Gyeom Kim , Minchan Jung , JunGee Hong , Kwang-Ki K. Kim

In this paper, a modified robust model predictive control scheme is proposed for linear parametric variable (LPV) and hybrid systems based on a quasi-min-max algorithm. Using a new cost function resulted in reduced unwanted disturbances…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Soroush Sadeghnejad , Farshad Khadivar , Mojtaba Esfandiari , Golchehr Amirkhani , Hamed Moradi , Farzam Farahmand , Gholamreza Vossoughi

Decentralized collision avoidance is a core challenge for scalable multi-robot systems. One of the promising approaches to tackle this problem is Model Predictive Path Integral (MPPI) -- a framework that naturally handles arbitrary motion…

Robotics · Computer Science 2026-03-04 Stepan Dergachev , Artem Pshenitsyn , Aleksandr Panov , Alexey Skrynnik , Konstantin Yakovlev

This paper proposes a novel algorithmic design procedure for online constrained optimization grounded in control-theoretic principles. By integrating the Internal Model Principle (IMP) with an anti-windup compensation mechanism, the…

Optimization and Control · Mathematics 2025-05-13 Umberto Casti , Sandro Zampieri