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This study presents a policy optimisation framework for structured nonlinear control of continuous-time (deterministic) dynamic systems. The proposed approach prescribes a structure for the controller based on relevant scientific knowledge…

机器学习 · 计算机科学 2024-10-28 Namhoon Cho , Hyo-Sang Shin

We consider the problem of controlling an unknown linear dynamical system under adversarially changing convex costs and full feedback of both the state and cost function. We present the first computationally-efficient algorithm that attains…

机器学习 · 计算机科学 2022-06-06 Asaf Cassel , Alon Cohen , Tomer Koren

Feedback-based online optimization algorithms have gained traction in recent years because of their simple implementation, their ability to reject disturbances in real time, and their increased robustness to model mismatch. While the…

最优化与控制 · 数学 2019-05-20 Marcello Colombino , John W. Simpson-Porco , Andrey Bernstein

Optimal control is an essential tool for stabilizing complex nonlinear systems. However, despite the extensive impacts of methods such as receding horizon control, dynamic programming and reinforcement learning, the design of cost functions…

系统与控制 · 电气工程与系统科学 2022-11-21 Tyler Westenbroek , Anand Siththaranjan , Mohsin Sarwari , Claire J. Tomlin , Shankar S. Sastry

We propose an algorithm based on online convex optimization for controlling discrete-time linear dynamical systems. The algorithm is data-driven, i.e., does not require a model of the system, and is able to handle a priori unknown and…

最优化与控制 · 数学 2022-11-17 Marko Nonhoff , Matthias A. Müller

Most modern reinforcement learning algorithms optimize a cumulative single-step cost along a trajectory. The optimized motions are often 'unnatural', representing, for example, behaviors with sudden accelerations that waste energy and lack…

机器学习 · 计算机科学 2024-07-03 Motoya Ohnishi , Isao Ishikawa , Kendall Lowrey , Masahiro Ikeda , Sham Kakade , Yoshinobu Kawahara

We introduce a new algorithm for online linear-quadratic control in a known system subject to adversarial disturbances. Existing regret bounds for this setting scale as $\sqrt{T}$ unless strong stochastic assumptions are imposed on the…

机器学习 · 计算机科学 2020-06-24 Dylan J. Foster , Max Simchowitz

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

系统与控制 · 电气工程与系统科学 2023-10-23 Samuel G. Gessow , Brett T. Lopez

In this work we provide provable regret guarantees for an online meta-learning control algorithm in an iterative control setting, where in each iteration the system to be controlled is a linear deterministic system that is different and…

机器学习 · 计算机科学 2022-02-07 Deepan Muthirayan , Pramod Khargonekar

We will present a new general framework for robust and adaptive control that allows for distributed and scalable learning and control of large systems of interconnected linear subsystems. The control method is demonstrated for a linear…

系统与控制 · 计算机科学 2019-04-02 Dimitar Ho , John C. Doyle

Classical PID control is widely applied in an engineering system, with parameter regulation relying on a method like Trial - Error Tuning or the Ziegler - Nichols rule, mainly for a Single - Input Single - Output (SISO) system. However, the…

系统与控制 · 电气工程与系统科学 2025-04-22 Zimao Sheng , Hong'an Yang

In this paper, we study the dynamic regret of online linear quadratic regulator (LQR) control with time-varying cost functions and disturbances. We consider the case where a finite look-ahead window of cost functions and disturbances is…

最优化与控制 · 数学 2021-02-03 Runyu Zhang , Yingying Li , Na Li

This paper is concerned with fault/disturbance compensation control for fully actuated systems. In particular, we explore observer-based control, incorporating an active compensation mechanism. First, we propose a novel observer with…

系统与控制 · 电气工程与系统科学 2026-03-09 Weijie Ren , Guang-Ren Duan , Ping Li , He Kong

We study the impact of predictions in online Linear Quadratic Regulator control with both stochastic and adversarial disturbances in the dynamics. In both settings, we characterize the optimal policy and derive tight bounds on the minimum…

最优化与控制 · 数学 2021-01-11 Chenkai Yu , Guanya Shi , Soon-Jo Chung , Yisong Yue , Adam Wierman

Robust Model Predictive Control (MPC) for nonlinear systems is a problem that poses significant challenges as highlighted by the diversity of approaches proposed in the last decades. Often compromises with respect to computational load,…

系统与控制 · 电气工程与系统科学 2024-02-21 Daniel D. Leister , Justin P. Koeln

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

机器学习 · 计算机科学 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski

Robust model predictive control (MPC) is a well-known control technique for model-based control with constraints and uncertainties. In classic robust tube-based MPC approaches, an open-loop control sequence is computed via periodically…

系统与控制 · 电气工程与系统科学 2022-06-13 Xinglong Zhang , Jiahang Liu , Xin Xu , Shuyou Yu , Hong Chen

This paper studies the robust optimal control design for uncertain nonlinear systems from a perspective of robust adaptive dynamic programming (robust-ADP). The objective is to fill up a gap in the past literature of ADP where dynamic…

动力系统 · 数学 2013-03-12 Yu Jiang , Zhong-Ping Jiang

Safety-critical control of uncertain, adaptive systems often relies on conservative, worst-case uncertainty bounds that limit closed-loop performance. Online conformal prediction is a powerful data-driven method for quantifying uncertainty…

系统与控制 · 电气工程与系统科学 2026-04-08 Daniel M. Cherenson , Dimitra Panagou

In the online non-stochastic control problem, an agent sequentially selects control inputs for a linear dynamical system when facing unknown and adversarially selected convex costs and disturbances. A common metric for evaluating control…

最优化与控制 · 数学 2025-04-24 Vijeth Hebbar , Cédric Langbort