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We introduce a real-time, constrained, nonlinear Model Predictive Control for the motion planning of legged robots. The proposed approach uses a constrained optimal control algorithm known as SLQ. We improve the efficiency of this algorithm…

机器人学 · 计算机科学 2018-01-31 Farbod Farshidian , Edo Jelavić , Asutosh Satapathy , Markus Giftthaler , Jonas Buchli

This paper proposes a Model Predictive Control (MPC) algorithm for target tracking amongst static and dynamic obstacles. Our main contribution lies in improving the computational tractability and reliability of the underlying non-convex…

机器人学 · 计算机科学 2021-12-24 Houman Masnavi , Vivek Adajania , Karl Kruusamae , Arun Kumar Singh

We present an approach for approximately solving discrete-time stochastic optimal-control problems by combining direct trajectory optimization, deterministic sampling, and policy optimization. Our feedback motion-planning algorithm uses a…

机器人学 · 计算机科学 2023-01-12 Taylor A. Howell , Chunjiang Fu , Zachary Manchester

Continuation model predictive control (MPC), introduced by T. Ohtsuka in 2004, uses Krylov-Newton approaches to solve MPC optimization and is suitable for nonlinear and minimum time problems. We suggest particle continuation MPC in the…

最优化与控制 · 数学 2016-06-13 Andrew Knyazev , Alexander Malyshev

Parametric optimization solves a family of optimization problems as a function of parameters. It is a critical component in situations where optimal decision making is repeatedly performed for updated parameter values, but computation…

最优化与控制 · 数学 2023-08-22 Hyunglip Bae , Jang Ho Kim , Woo Chang Kim

This paper addresses the optimization problem of minimizing non-convex continuous functions, which is relevant in the context of high-dimensional machine learning applications characterized by over-parametrization. We analyze a randomized…

机器学习 · 计算机科学 2025-02-28 Jim Zhao , Aurelien Lucchi , Nikita Doikov

Control algorithms such as model predictive control (MPC) and state estimators rely on a number of different parameters. The performance of the closed loop usually depends on the correct setting of these parameters. Tuning is often done…

系统与控制 · 电气工程与系统科学 2020-10-15 David Stenger , Muzaffer Ay , Dirk Abel

Model Predictive Control (MPC) is widely used in robot control by optimizing a sequence of control outputs over a finite-horizon. Computational approaches for MPC include deterministic methods (e.g., iLQR and COBYLA), as well as…

机器人学 · 计算机科学 2025-11-03 Zhaoxin Li , Xiaoke Wang , Letian Chen , Rohan Paleja , Subramanya Nageshrao , Matthew Gombolay

We introduce an algorithm that can be used to perform stochastic perturbation theory (sPT) to correct any non-linearly parametrized wavefunction that can be optimized using orbital space Variational Monte Carlo (VMC). Although the…

强关联电子 · 物理学 2018-03-13 Sandeep Sharma

In this paper, we propose a parallel shooting algorithm for solving nonlinear model predictive control problems using sequential quadratic programming. This algorithm is built on a two-phase approach where we first test and assess…

系统与控制 · 电气工程与系统科学 2023-07-21 P. C. N. Verheijen , M. Haghi , M. Lazar , D. Goswami

In this paper, we develop a new asymmetric framework for solving primal-dual problems of Conic Optimization by Interior-Point Methods (IPMs). It allows development of efficient methods for problems, where the dual formulation is simpler…

最优化与控制 · 数学 2025-03-14 Yurii Nesterov

This contribution presents a robot path-following framework via Reactive Model Predictive Contouring Control (RMPCC) that successfully avoids obstacles, singularities and self-collisions in dynamic environments at 100 Hz. Many…

机器人学 · 计算机科学 2025-08-14 Junheon Yoon , Woo-Jeong Baek , Jaeheung Park

This paper is concerned with optimal control problems for parabolic partial differential equations with pointwise in time switching constraints on the control. A standard approach to treat constraints in nonlinear optimization is…

最优化与控制 · 数学 2018-04-30 Christian Clason , Armin Rund , Karl Kunisch

This paper proposes an off-line algorithm, called Recurrent Model Predictive Control (RMPC), to solve general nonlinear finite-horizon optimal control problems. Unlike traditional Model Predictive Control (MPC) algorithms, it can make full…

系统与控制 · 电气工程与系统科学 2021-02-24 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Qi Sun , Bo Cheng

We introduce Newton-ADMM, a method for fast conic optimization. The basic idea is to view the residuals of consecutive iterates generated by the alternating direction method of multipliers (ADMM) as a set of fixed point equations, and then…

最优化与控制 · 数学 2017-06-21 Alnur Ali , Eric Wong , J. Zico Kolter

We propose a sampling-based trajectory optimization methodology for constrained problems. We extend recent works on stochastic search to deal with box control constraints,as well as nonlinear state constraints for discrete dynamical…

最优化与控制 · 数学 2019-11-13 George I. Boutselis , Ziyi Wang , Evangelos A. Theodorou

Stochastic parametrisations are used in weather and climate models to improve the representation of unpredictable unresolved processes. When compared to a deterministic model, a stochastic model represents `model uncertainty', i.e., sources…

大气与海洋物理 · 物理学 2020-04-22 Hannah M. Christensen

Presence of a high-dimensional stochastic parameter space with discontinuities poses major computational challenges in analyzing and quantifying the effects of the uncertainties in a physical system. In this paper, we propose a stochastic…

Model predictive control (MPC) is increasingly being considered for control of fast systems and embedded applications. However, the MPC has some significant challenges for such systems. Its high computational complexity results in high…

系统与控制 · 电气工程与系统科学 2024-10-28 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

Numerical resolution of high-dimensional nonlinear PDEs remains a huge challenge due to the curse of dimensionality. Starting from the weak formulation of the Lawson-Euler scheme, this paper proposes a stochastic particle method (SPM) by…

数值分析 · 数学 2025-02-11 Zhengyang Lei , Sihong Shao , Yunfeng Xiong
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