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Essential tasks in autonomous driving includes environment perception, detection and tracking, path planning and action control. This paper focus on path planning, which is one of the challenging task as it needs to find optimal path in…

Robotics · Computer Science 2024-02-20 Sugirtha T , Pranav S , Nitin Benjamin Dasiah , Sridevi M

We propose a new framework to design controllers for high-dimensional nonlinear systems. The control is designed through the iterative linear quadratic regulator (ILQR), an algorithm that computes control by iteratively applying the linear…

Optimization and Control · Mathematics 2021-10-12 Yizhe Huang , Boris Kramer

This paper presents a novel trajectory planning pipeline for complex driving scenarios like autonomous lane changing, by integrating risk-aware planning with guaranteed collision avoidance into a unified optimization framework. We first…

Robotics · Computer Science 2026-03-09 Yijun Lu , Zhihao Lin , Zhen Tian

We present LQR-CBF-RRT*, an incremental sampling-based algorithm for offline motion planning. Our framework leverages the strength of Control Barrier Functions (CBFs) and Linear Quadratic Regulators (LQR) to generate safety-critical and…

Robotics · Computer Science 2023-09-28 Guang Yang , Mingyu Cai , Ahmad Ahmad , Amanda Prorok , Roberto Tron , Calin Belta

In this paper, we propose, discuss, and validate an online Nonlinear Model Predictive Control (NMPC) method for multi-rotor aerial systems with arbitrarily positioned and oriented rotors which simultaneously addresses the local reference…

Robotics · Computer Science 2020-09-11 Davide Bicego , Jacopo Mazzetto , Ruggero Carli , Marcello Farina , Antonio Franchi

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Siddharth H. Nair , Francesco Borrelli

Robust control is a core approach for controlling systems with performance guarantees that are robust to modeling error, and is widely used in real-world systems. However, current robust control approaches can only handle small system…

Optimization and Control · Mathematics 2021-06-08 Dimitar Ho , Hoang M. Le , John C. Doyle , Yisong Yue

A suboptimal active disturbance rejection controller (S-ADRC) is proposed for second-order systems with unknown time-varying nonlinear dynamics. The output-feedback controller guarantees a global convergence to the vicinity of an optimal…

Optimization and Control · Mathematics 2022-06-22 Amir Shakouri , M. Reza Emami

The risk-neutral LQR controller is optimal for stochastic linear dynamical systems. However, the classical optimal controller performs inefficiently in the presence of low-probability yet statistically significant (risky) events. The…

Systems and Control · Electrical Eng. & Systems 2023-07-17 Masoud Roudneshin , Saba Sanami , Amir G. Aghdam

We consider the problem of controlling a Linear Quadratic Regulator (LQR) system over a finite horizon $T$ with fixed and known cost matrices $Q,R$, but unknown and non-stationary dynamics $\{A_t, B_t\}$. The sequence of dynamics matrices…

Machine Learning · Computer Science 2022-03-21 Yuwei Luo , Varun Gupta , Mladen Kolar

Sampling-based planning algorithms like Rapidly-exploring Random Tree (RRT) are versatile in solving path planning problems. RRT* offers asymptotic optimality but requires growing the tree uniformly over the free space, which leaves room…

Robotics · Computer Science 2024-03-08 Zhe Huang , Hongyu Chen , John Pohovey , Katherine Driggs-Campbell

Safe operation of autonomous systems requires robustness to both model uncertainty and uncertainty in the environment. We propose DRP-$\mathcal{L}_1$AC, a hierarchical framework for stochastic nonlinear systems that integrates…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Astghik Hakobyan , Amaras Nazarians , Aditya Gahlawat , Naira Hovakimyan , Ilya Kolmanovsky

Robots have become increasingly prevalent in dynamic and crowded environments such as airports and shopping malls. In these scenarios, the critical challenges for robot navigation are reliability and timely arrival at predetermined…

Robotics · Computer Science 2023-09-21 Zhirui Sun , Boshu Lei , Peijia Xie , Fugang Liu , Junjie Gao , Ying Zhang , Jiankun Wang

This study focuses on the problem of optimal mismatched disturbance rejection control for uncontrollable linear discrete-time systems. In contrast to previous studies, by introducing a quadratic performance index such that the regulated…

Optimization and Control · Mathematics 2022-09-16 Shichao Lv , Hongdan Li , Kai Peng , Huanshui Zhang

In this paper, we present a novel Reduced Robustified NMPC (R$^2$NMPC) algorithm that has the same complexity as an equivalent nominal NMPC while enhancing it with robustified constraints based on the dynamics of ellipsoidal uncertainty…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Baha Zarrouki , João Nunes , Johannes Betz

We present a heuristic policy and performance bound for risk-sensitive convex stochastic control that generalizes linear-exponential-quadratic regulator (LEQR) theory. Our heuristic policy extends standard, risk-neutral model predictive…

Optimization and Control · Mathematics 2022-05-30 Nicholas Moehle

Robots are increasingly deployed in dynamic and crowded environments, such as urban areas and shopping malls, where efficient and robust navigation is crucial. Traditional risk-based motion planning algorithms face challenges in such…

Robotics · Computer Science 2024-11-04 Zhirui Sun , Bingyi Xia , Peijia Xie , Xiaoxiao Li , Jiankun Wang

Path tracking (PT) controllers capable of replicating race driving techniques, such as drifting beyond the limits of handling, have the potential of enhancing active safety in critical conditions. This paper presents a nonlinear model…

Systems and Control · Electrical Eng. & Systems 2024-10-10 Gaetano Tavolo , Pietro Stano , Davide Tavernini , Umberto Montanaro , Manuela Tufo , Giovanni Fiengo , Pietro Perlo , Aldo Sorniotti

This paper presents an approach to mutual collision avoidance based on Nonlinear Model Predictive Control (NMPC) with time-dependent Reciprocal Velocity Constraints (RVCs). Unlike most existing methods, the proposed approach relies solely…

Robotics · Computer Science 2025-12-10 Vit Kratky , Robert Penicka , Parakh M. Gupta , Ondrej Prochazka , Martin Saska

This paper focuses on optimal mismatched disturbance rejection control for linear continuoustime uncontrollable systems. Different from previous studies, by introducing a new quadratic performance index to transform the mismatched…

Optimization and Control · Mathematics 2023-06-05 Shichao Lv , Hongdan Li , Kai Peng , Shihua Li , Huanshui Zhang
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