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This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

Optimization and Control · Mathematics 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

In deterministic systems, reinforcement learning-based online approximate optimal control methods typically require a restrictive persistence of excitation (PE) condition for convergence. This paper presents a concurrent learning-based…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Patrick Walters , Warren Dixon

In this paper a new approach to control a grid-connected synchronverter by using a dual heuristic dynamic programing (DHP) design is presented. The disadvantages of conventional synchronverter controller such as the challenges to cope with…

Systems and Control · Electrical Eng. & Systems 2019-08-15 Sepehr Saadatmand , Mohammad Saleh Sanjarinia , Pourya Shamsi , Mehdi Ferdowsi

For safety of autonomous driving, vehicles need to be able to drive under various lighting, weather, and visibility conditions in different environments. These external and environmental factors, along with internal factors associated with…

Computer Vision and Pattern Recognition · Computer Science 2021-03-01 Yu Shen , Laura Zheng , Manli Shu , Weizi Li , Tom Goldstein , Ming C. Lin

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

We develop an Accelerated Back Pressure (ABP) algorithm using Accelerated Dual Descent (ADD), a distributed approximate Newton-like algorithm that only uses local information. Our construction is based on writing the backpressure algorithm…

Optimization and Control · Mathematics 2013-02-07 Michael Zargham , Alejandro Ribeiro , Ali Jadbabaie

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

Indirect trajectory optimization methods such as Differential Dynamic Programming (DDP) have found considerable success when only planning under dynamic feasibility constraints. Meanwhile, nonlinear programming (NLP) has been the…

Optimization and Control · Mathematics 2022-05-06 Sumeet Singh , Jean-Jacques Slotine , Vikas Sindhwani

Many physical AI tasks are governed by implicit equilibrium: an agent actuates a subset of degrees of freedom (boundary DoFs), while the remaining free DoFs settle by minimizing a total potential energy. Even seemingly basic tasks such as…

Robotics · Computer Science 2026-05-06 Dezhong Tong , Jiawen Wang , Hengyi Zhou , Yinglong Shen , Xiaonan Huang , M. Khalid Jawed

Many sequential decision problems can be formulated as Markov Decision Processes (MDPs) where the optimal value function (or cost-to-go function) can be shown to satisfy a monotone structure in some or all of its dimensions. When the state…

Optimization and Control · Mathematics 2015-09-03 Daniel R. Jiang , Warren B. Powell

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Designing a stabilizing controller for nonlinear systems is a challenging task, especially for high-dimensional problems with unknown dynamics. Traditional reinforcement learning algorithms applied to stabilization tasks tend to drive the…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Thanin Quartz , Ruikun Zhou , Hans De Sterck , Jun Liu

Learning optimal feedback control laws capable of executing optimal trajectories is essential for many robotic applications. Such policies can be learned using reinforcement learning or planned using optimal control. While reinforcement…

Machine Learning · Computer Science 2019-10-14 Michael Lutter , Boris Belousov , Kim Listmann , Debora Clever , Jan Peters

Stability and safety are critical properties for successful deployment of automatic control systems. As a motivating example, consider autonomous mobile robot navigation in a complex environment. A control design that generalizes to…

Robotics · Computer Science 2022-07-25 Zhichao Li , Thai Duong , Nikolay Atanasov

In this paper a new framework has been applied to the design of controllers which encompasses nonlinearity, hysteresis and arbitrary density functions of forward models and inverse controllers. Using mixture density networks, the…

Optimization and Control · Mathematics 2018-01-09 Randa Herzallah

Tasks for autonomous robotic systems commonly require stabilization to a desired region while maintaining safety specifications. However, solving this multi-objective problem is challenging when the dynamics are nonlinear and…

Robotics · Computer Science 2023-05-24 Oswin So , Chuchu Fan

We describe an approximate dynamic programming (ADP) approach to compute approximations of the optimal strategies and of the minimal losses that can be guaranteed in discounted repeated games with vector-valued losses. Such games…

Computer Science and Game Theory · Computer Science 2020-10-27 Vijay Kamble , Patrick Loiseau , Jean Walrand

While Unmanned Aerial Vehicles (UAVs) have gained significant traction across various fields, path planning in 3D environments remains a critical challenge, particularly under size, weight, and power (SWAP) constraints. Traditional modular…

Robotics · Computer Science 2026-03-05 Yufei Jiang , Yuanzhu Zhan , Harsh Vardhan Gupta , Chinmay Borde , Junyi Geng

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

Optimization and Control · Mathematics 2024-07-15 Jean-Sébastien Brouillon , Andrea Martin , John Lygeros , Florian Dörfler , Giancarlo Ferrari Trecate

Stochastic optimization of the Area Under the Precision-Recall Curve (AUPRC) is a crucial problem for machine learning. Although various algorithms have been extensively studied for AUPRC optimization, the generalization is only guaranteed…

Machine Learning · Computer Science 2022-09-28 Peisong Wen , Qianqian Xu , Zhiyong Yang , Yuan He , Qingming Huang