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This work highlights the duality between state estimation methods and model predictive control. A predictive controller, observed control, is presented that uses this duality to efficiently compute control actions with linear time-horizon…

最优化与控制 · 数学 2025-08-20 Eugene T. Hamzezadeh , Andrew J. Petruska

This paper presents a new filter for state-space models based on Bellman's dynamic-programming principle, allowing for nonlinearity, non-Gaussianity and degeneracy in the observation and/or state-transition equations. The resulting Bellman…

统计方法学 · 统计学 2025-02-18 Rutger-Jan Lange

In the reinforcement learning literature, strong theoretical guarantees have been obtained for algorithms applicable to LTI systems. However, in the nonlinear case only weaker results have been obtained for algorithms that mostly rely on…

系统与控制 · 电气工程与系统科学 2026-04-01 Victor G. Lopez , Malte Heinrich , Matthias A. Müller

Backpropagation dominates modern machine learning, yet it is not the only principled method for optimizing dynamical systems. We propose Kalman World Models (KWM), a class of learned state-space models trained via recursive Bayesian…

机器学习 · 计算机科学 2026-03-17 Andrew Kiruluta

Nonlinear optimal control is vital for numerous applications but remains challenging for unknown systems due to the difficulties in accurately modelling dynamics and handling computational demands, particularly in high-dimensional settings.…

系统与控制 · 电气工程与系统科学 2024-12-03 Zhexuan Zeng , Ruikun Zhou , Yiming Meng , Jun Liu

Recent advances in counter-adversarial systems have garnered significant research attention to inverse filtering from a Bayesian perspective. For example, interest in estimating the adversary's Kalman filter tracked estimate with the…

最优化与控制 · 数学 2023-08-15 Himali Singh , Arpan Chattopadhyay , Kumar Vijay Mishra

This paper presents preliminary work on computing upper bounds on the estimation error covariance in the framework of the extended Kalman filter. The approach taken is using quadratic constraints to bound the dynamic nonlinearities and use…

最优化与控制 · 数学 2024-10-14 Sze Kwan Cheah , Yingjie Hu

The gloabal objective of inverse Reinforcement Learning (IRL) is to estimate the unknown cost function of some MDP base on observed trajectories generated by (approximate) optimal policies. The classical approach consists in tuning this…

机器学习 · 计算机科学 2021-05-26 Firas Jarboui , Vianney Perchet

This work extends a previous study that introduced an algorithm for state estimation on manifolds within the framework of the Kalman filter. Its objective is to address the limitations of the earlier approach. The reversible Kalman filter…

系统与控制 · 电气工程与系统科学 2026-01-21 Svyatoslav Covanov , Cedric Pradalier

We consider estimation and control in linear time-varying dynamical systems from the perspective of regret minimization. Unlike most prior work in this area, we focus on the problem of designing causal estimators and controllers which…

机器学习 · 计算机科学 2021-06-24 Gautam Goel , Babak Hassibi

This paper proposes a method for calibrating control parameters. Examples of such control parameters are gains of PID controllers, weights of a cost function for optimal control, filter coefficients, the sliding surface of a sliding mode…

系统与控制 · 电气工程与系统科学 2023-03-10 Marcel Menner , Karl Berntorp , Stefano Di Cairano

This paper presents a model-based reinforcement learning (RL) framework for optimal closed-loop control of nonlinear robotic systems. The proposed approach learns linear lifted dynamics through Koopman operator theory and integrates the…

机器人学 · 计算机科学 2026-04-23 Wenjian Hao , Yuxuan Fang , Zehui Lu , Shaoshuai Mou

Reliable long-horizon value prediction is difficult in offline reinforcement learning because fitted value methods combine bootstrapping, function approximation, and distribution shift, while standard guarantees often require Bellman…

机器学习 · 统计学 2026-05-11 Lars van der Laan , Nathan Kallus

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…

机器学习 · 计算机科学 2019-10-14 Michael Lutter , Boris Belousov , Kim Listmann , Debora Clever , Jan Peters

This note aims to provide a basic intuition on the concept of filtrations as used in the context of reinforcement learning (RL). Filtrations are often used to formally define RL problems, yet their implications might not be eminent for…

机器学习 · 计算机科学 2020-08-07 W. J. A. van Heeswijk

We cast Amari's natural gradient in statistical learning as a specific case of Kalman filtering. Namely, applying an extended Kalman filter to estimate a fixed unknown parameter of a probabilistic model from a series of observations, is…

机器学习 · 统计学 2018-08-29 Yann Ollivier

With the rapid development of industry, the vibration control of flexible structures and underactuated systems has been increasingly gaining attention. Input shaping technology enables stable performance for high-speed motion in industrial…

系统与控制 · 电气工程与系统科学 2024-08-23 Weiyi Yang , Shuai Li , Xin Luo

The paper introduces a linear bandit environment where the reward is the output of a known Linear Gaussian Dynamical System (LGDS). In this environment, we address the fundamental challenge of balancing exploration -- gathering information…

系统与控制 · 电气工程与系统科学 2025-10-03 Jonathan Gornet , Yilin Mo , Bruno Sinopoli

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

系统与控制 · 电气工程与系统科学 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

This paper proposes a novel robust reinforcement learning framework for discrete-time linear systems with model mismatch that may arise from the sim-to-real gap. A key strategy is to invoke advanced techniques from control theory. Using the…

系统与控制 · 电气工程与系统科学 2023-12-07 Leilei Cui , Tamer Başar , Zhong-Ping Jiang