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Optimal control is often used in robotics for planning a trajectory to achieve some desired behavior, as expressed by the cost function. Most works in optimal control focus on finding a single optimal trajectory, which is then typically…

机器人学 · 计算机科学 2021-08-24 Teguh Santoso Lembono , Sylvain Calinon

Optimal control theory and machine learning techniques are combined to formulate and solve in closed form an optimal control formulation of online learning from supervised examples with regularization of the updates. The connections with…

最优化与控制 · 数学 2016-12-15 Giorgio Gnecco , Alberto Bemporad , Marco Gori , Marcello Sanguineti

Autonomous drifting is a complex challenge due to the highly nonlinear dynamics and the need for precise real-time control, especially in uncertain environments. To address these limitations, this paper presents a hierarchical control…

机器人学 · 计算机科学 2025-03-17 Yangyang Xie , Cheng Hu , Nicolas Baumann , Edoardo Ghignone , Michele Magno , Lei Xie

The linear-quadratic regulator (LQR) is an efficient control method for linear and linearized systems. Typically, LQR is implemented in minimal coordinates (also called generalized or "joint" coordinates). However, other coordinates are…

最优化与控制 · 数学 2022-04-19 Jan Brüdigam , Zachary Manchester

We investigate a linear quadratic Gaussian (LQG) tracking problem with safety and reachability constraints in the presence of an adversary who mounts an FDI attack on an unknown set of sensors. For each possible set of compromised sensors,…

系统与控制 · 电气工程与系统科学 2022-07-13 Zhouchi Li , Luyao Niu , Andrew Clark

This paper presents a new framework for controller robustness verification with respect to F-16 aircraft's closed-loop performance in longitudinal flight. We compare the state regulation performance of a linear quadratic regulator (LQR) and…

系统与控制 · 计算机科学 2014-02-04 Abhishek Halder , Kooktae Lee , Raktim Bhattacharya

Optimal decentralized controller design is notoriously difficult, but recent research has identified large subclasses of such problems that may be convexified and thus are amenable to solution via efficient numerical methods. One recently…

系统与控制 · 计算机科学 2014-11-25 Laurent Lessard , Sanjay Lall

This paper is concerned with linear-quadratic-Gaussian (LQG) control for a field-mediated feedback connection of a plant and a coherent (measurement-free) controller. Both the plant and the controller are multimode open quantum harmonic…

系统与控制 · 电气工程与系统科学 2020-02-07 Igor G. Vladimirov , Ian R. Petersen

This paper is concerned with coherent quantum linear quadratic Gaussian (CQLQG) control. The problem is to find a stabilizing measurement-free quantum controller for a quantum plant so as to minimize a mean square cost for the fully quantum…

量子物理 · 物理学 2016-09-27 Arash Kh. Sichani , Igor G. Vladimirov , Ian R. Petersen

Developments in cooperative trajectory planning of connected autonomous vehicles (CAVs) have gathered considerable momentum and research attention. Generally, such problems present strong non-linearity and non-convexity, rendering great…

机器人学 · 计算机科学 2023-01-12 Zhenmin Huang , Shaojie Shen , Jun Ma

In the context of autonomous driving, the iterative linear quadratic regulator (iLQR) is known to be an efficient approach to deal with the nonlinear vehicle model in motion planning problems. Particularly, the constrained iLQR algorithm…

机器人学 · 计算机科学 2022-07-28 Jun Ma , Zilong Cheng , Xiaoxue Zhang , Masayoshi Tomizuka , Tong Heng Lee

We study multitask learning for stochastic and partially observed control systems, focusing on the linear quadratic Gaussian (LQG) problem. Our goal is to learn a common stabilizing controller that generalizes across a distribution of…

最优化与控制 · 数学 2026-04-21 Leonardo F. Toso , Kasra Fallah , Charis Stamouli , George J. Pappas , James Anderson

In this paper, we consider the inverse optimal control problem for the discrete-time linear quadratic regulator, over finite-time horizons. Given observations of the optimal trajectories, and optimal control inputs, to a linear…

最优化与控制 · 数学 2018-10-31 Han Zhang , Jack Umenberger , Xiaoming Hu

This technical report is an accompaniment to the paper "Differentially Private LQ Control" that is currently under review. This technical report provides a complete derivation of the infinite horizon discrete-time linear quadratic Gaussian…

最优化与控制 · 数学 2018-12-07 Kasra Yazdani , Matthew Hale

This paper introduces a family of iterative algorithms for unconstrained nonlinear optimal control. We generalize the well-known iLQR algorithm to different multiple-shooting variants, combining advantages like straight-forward…

系统与控制 · 计算机科学 2017-12-12 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli , Moritz Diehl

We propose a new risk-constrained reformulation of the standard Linear Quadratic Regulator (LQR) problem. Our framework is motivated by the fact that the classical (risk-neutral) LQR controller, although optimal in expectation, might be…

系统与控制 · 电气工程与系统科学 2020-10-30 Anastasios Tsiamis , Dionysios S. Kalogerias , Luiz F. O. Chamon , Alejandro Ribeiro , George J. Pappas

This article presents an error-state Linear Quadratic Regulator (LQR) formulation for robust trajectory tracking in quadrotor Unmanned Aerial Vehicles (UAVs). The proposed approach leverages error-state dynamics and employs exponential…

机器人学 · 计算机科学 2025-01-28 Micah Reich

In this report, linear quadratic regulator is used to design adaptive cruise control system. In the regulator, Q and R parameters vary with time according to current traffic situations. Phase-plant method is used to give constraints on Q…

系统与控制 · 电气工程与系统科学 2020-08-06 Yuncheng Jiang

The paper presents a novel approach to synthesize robust controllers for nonlinear systems along perturbed trajectories. The approach linearizes the system with respect to a reference trajectory. In contrast to existing methods rooted in…

系统与控制 · 电气工程与系统科学 2025-07-08 Felix Biertümpfel , Peter Seiler , Harald Pfifer

This paper considers optimal control of a quadrotor unmanned aerial vehicles (UAV) using the discrete-time, finite-horizon, linear quadratic regulator (LQR). The state of a quadrotor UAV is represented as an element of the matrix Lie group…

机器人学 · 计算机科学 2021-05-31 Mitchell R. Cohen , Khairi Abdulrahim , James Richard Forbes