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The principal task to control dynamical systems is to ensure their stability. When the system is unknown, robust approaches are promising since they aim to stabilize a large set of plausible systems simultaneously. We study linear…

系统与控制 · 电气工程与系统科学 2020-11-24 Lenart Treven , Sebastian Curi , Mojmir Mutny , Andreas Krause

We introduce a new problem setting for continuous control called the LQR with Rich Observations, or RichLQR. In our setting, the environment is summarized by a low-dimensional continuous latent state with linear dynamics and quadratic…

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

We study in this paper the linear quadratic optimal control (linear quadratic regulation, LQR for short) for discrete-time complex-valued linear systems, which have shown to have several potential applications in control theory. Firstly, an…

最优化与控制 · 数学 2017-09-18 Bin Zhou

We study the problem of state representation learning for control from partial and potentially high-dimensional observations. We approach this problem via cost-driven state representation learning, in which we learn a dynamical model in a…

机器学习 · 计算机科学 2026-03-10 Yi Tian , Kaiqing Zhang , Russ Tedrake , Suvrit Sra

This paper presents adaptive robust quadratic program (QP) based control using control Lyapunov and barrier functions for nonlinear systems subject to time-varying and state-dependent uncertainties. An adaptive estimation law is proposed to…

最优化与控制 · 数学 2020-10-21 Pan Zhao , Yanbing Mao , Chuyuan Tao , Naira Hovakimyan , Xiaofeng Wang

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

系统与控制 · 电气工程与系统科学 2024-09-17 Logan E. Beaver

In this paper, the finite horizon asymmetric information linear quadratic (LQ) control problem is investigated for a discrete-time mean field system. Different from previous works, multiple controllers with different information sets are…

最优化与控制 · 数学 2023-09-06 Qingyuan Qi , Zhiqiang Liu , Qianqian Zhang , Xinbei Lv

We propose and analyse a new methodology based on linear-quadratic regulation (LQR) for stabilising falling liquid films via blowing and suction at the base. LQR methods enable rapidly responding feedback control by precomputing a gain…

最优化与控制 · 数学 2023-07-11 Oscar A. Holroyd , Radu Cimpeanu , Susana N. Gomes

We consider the problem of controlling an unknown linear dynamical system under a stochastic convex cost and full feedback of both the state and cost function. We present a computationally efficient algorithm that attains an optimal…

最优化与控制 · 数学 2022-06-23 Asaf Cassel , Alon Cohen , Tomer Koren

Consider a linear quadratic regulator (LQR) problem being solved in a model-free manner using the policy gradient approach. If the gradient of the quadratic cost is being transmitted across a rate-limited channel, both the convergence and…

最优化与控制 · 数学 2024-09-20 Lintao Ye , Aritra Mitra , Vijay Gupta

Integrating data-driven techniques with mechanism-driven insights has recently gained popularity as a powerful learning approach to solving traditional LQR problems for designing intelligent controllers in complex dynamic systems. However,…

最优化与控制 · 数学 2025-12-10 Xiushan Jiang , Dong Wang , Weihai Zhang , Daniel W. C. Ho , Yuanqing Wu

We study the distributed Linear Quadratic Gaussian (LQG) control problem in discrete-time and finite-horizon, where the controller depends linearly on the history of the outputs and it is required to lie in a given subspace, e.g. to possess…

系统与控制 · 电气工程与系统科学 2021-07-14 Luca Furieri , Maryam Kamgarpour

In this paper, we formulate a general time-inconsistent stochastic linear--quadratic (LQ) control problem. The time-inconsistency arises from the presence of a quadratic term of the expected state as well as a state-dependent term in the…

最优化与控制 · 数学 2011-11-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

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

In safety-critical applications, reinforcement learning (RL) needs to consider safety constraints. However, theoretical understandings of constrained RL for continuous control are largely absent. As a case study, this paper presents a…

最优化与控制 · 数学 2024-06-07 Feiran Zhao , Keyou You

Designing the optimal linear quadratic regulator (LQR) for a large-scale multi-agent system (MAS) is time-consuming since it involves solving a large-size matrix Riccati equation. The situation is further exasperated when the design needs…

系统与控制 · 电气工程与系统科学 2021-03-18 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty

Risk-sensitive control balances performance with resilience to unlikely events in uncertain systems. This paper introduces ergodic-risk criteria, which capture long-term cumulative risks through probabilistic limit theorems. By ensuring the…

最优化与控制 · 数学 2025-03-11 Shahriar Talebi , Na Li

Nonlinear control systems with partial information to the decision maker are prevalent in a variety of applications. As a step toward studying such nonlinear systems, this work explores reinforcement learning methods for finding the optimal…

机器学习 · 计算机科学 2025-04-11 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

This article presents an error-state Linear Quadratic Regulator (LQR) formulation for robust trajectory tracking in quadrotor Unmanned Aerial Vehicles (UAVs). The proposed approach leverages error-state dynamics and employs exponential…

机器人学 · 计算机科学 2025-01-28 Micah Reich