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We consider a discrete-time Linear-Quadratic-Gaussian (LQG) control problem in which Massey's directed information from the observed output of the plant to the control input is minimized while required control performance is attainable.…

最优化与控制 · 数学 2017-06-13 Takashi Tanaka , Peyman Mohajerin Esfahani , Sanjoy K. Mitter

In this paper, we consider an infinite horizon Linear-Quadratic-Gaussian control problem with controlled and costly measurements. A control strategy and a measurement strategy are co-designed to optimize the trade-off among control…

系统与控制 · 电气工程与系统科学 2021-01-01 Yunhan Huang , Quanyan Zhu

Model-free approaches for reinforcement learning (RL) and continuous control find policies based only on past states and rewards, without fitting a model of the system dynamics. They are appealing as they are general purpose and easy to…

机器学习 · 计算机科学 2018-10-09 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari

This paper applies a reinforcement learning (RL) method to solve infinite horizon continuous-time stochastic linear quadratic problems, where drift and diffusion terms in the dynamics may depend on both the state and control. Based on…

最优化与控制 · 数学 2021-09-17 Na Li , Xun Li , Jing Peng , Zuo Quan Xu

Linear quadratic Gaussian (LQG) control is a well-established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct…

系统与控制 · 电气工程与系统科学 2026-05-19 Daniel Engelsman , Itzik Klein

We study the problem of adaptive control of a high dimensional linear quadratic (LQ) system. Previous work established the asymptotic convergence to an optimal controller for various adaptive control schemes. More recently, for the average…

机器学习 · 统计学 2013-03-26 Morteza Ibrahimi , Adel Javanmard , Benjamin Van Roy

Accurate control of quantum states is crucial for quantum computing and other quantum technologies. In the basic scenario, the task is to steer a quantum system towards a target state through a sequence of control operations. Determining…

量子物理 · 物理学 2024-06-14 Yan Zhu , Tailong Xiao , Guihua Zeng , Giulio Chiribella , Ya-Dong Wu

The behaviour of a stochastic dynamical system may be largely influenced by those low-probability, yet extreme events. To address such occurrences, this paper proposes an infinite-horizon risk-constrained Linear Quadratic Regulator (LQR)…

最优化与控制 · 数学 2021-03-30 Feiran Zhao , Keyou You , Tamer Basar

We consider the Linear-Quadratic-Regulator (LQR) problem in terms of optimizing a real-valued matrix function over the set of feedback gains. Such a setup facilitates examining the implications of a natural initial-state independent…

系统与控制 · 电气工程与系统科学 2019-07-31 Jingjing Bu , Afshin Mesbahi , Maryam Fazel , Mehran Mesbahi

We study the value of stochastic predictions in online optimal control with random disturbances. Prior work provides performance guarantees based on prediction error but ignores the stochastic dependence between predictions and…

最优化与控制 · 数学 2025-06-06 Yiheng Lin , Christopher Yeh , Zaiwei Chen , Adam Wierman

This paper presents a pioneering approach to solving the linear quadratic regulation (LQR) and linear quadratic tracking (LQT) problems with constrained inputs using a novel off-policy continuous-time Q-learning framework. The proposed…

系统与控制 · 电气工程与系统科学 2025-09-23 Duc Cuong Nguyen , Quang Huy Dao , Phuong Nam Dao

This chapter studies emerging cyber-attacks on reinforcement learning (RL) and introduces a quantitative approach to analyze the vulnerabilities of RL. Focusing on adversarial manipulation on the cost signals, we analyze the performance…

机器学习 · 计算机科学 2020-07-22 Yunhan Huang , Quanyan Zhu

State-space models have been successfully used for more than fifty years in different areas of science and engineering. We present a procedure for efficient variational Bayesian learning of nonlinear state-space models based on sparse…

机器学习 · 计算机科学 2014-11-04 Roger Frigola , Yutian Chen , Carl E. Rasmussen

This paper considers a stochastic control framework, in which the residual model uncertainty of the dynamical system is learned using a Gaussian Process (GP). In the proposed formulation, the residual model uncertainty consists of a…

系统与控制 · 电气工程与系统科学 2023-05-26 Marcel Menner , Karl Berntorp

Sim-to-real transfer trains RL agents in the simulated environments and then deploys them in the real world. Sim-to-real transfer has been widely used in practice because it is often cheaper, safer and much faster to collect samples in…

机器学习 · 计算机科学 2023-03-03 Jiachen Hu , Han Zhong , Chi Jin , Liwei Wang

Switching control strategies that unite a potentially high-performance but uncertified controller and a stabilizing albeit conservative controller are shown to be able to balance safety with efficiency, but have been less studied under…

系统与控制 · 电气工程与系统科学 2023-03-28 Yiwen Lu , Yilin Mo

Representation learning becomes especially important for complex systems with multimodal data sources such as cameras or sensors. Recent advances in reinforcement learning and optimal control make it possible to design control algorithms on…

Model-free algorithms are brought into the control system's research with the emergence of reinforcement learning algorithms. However, there are two practical challenges of reinforcement learning-based methods. First, learning by…

系统与控制 · 电气工程与系统科学 2024-09-18 Mi Zhou , Erik Verriest , Chaouki Abdallah

Computational level explanations based on optimal feedback control with signal-dependent noise have been able to account for a vast array of phenomena in human sensorimotor behavior. However, commonly a cost function needs to be assumed for…

机器学习 · 计算机科学 2021-10-22 Matthias Schultheis , Dominik Straub , Constantin A. Rothkopf

In this work we consider a stochastic linear quadratic two-player game. The state measurements are observed through a switched noiseless communication link. Each player incurs a finite cost every time the link is established to get…

计算机科学与博弈论 · 计算机科学 2017-09-21 Dipankar Maity , Achilleas Anastasopoulos , John S. Baras