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Related papers: DiLQR: Differentiable Iterative Linear Quadratic R…

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We propose a computational framework for replacing the repeated numerical solution of differential Riccati equations in finite-horizon Linear Quadratic Regulator (LQR) problems by a learned operator surrogate. Instead of solving a nonlinear…

Optimization and Control · Mathematics 2026-04-22 Jun Chen , Umberto Biccari , Junmin Wang

Discrete Diffusion Language Models (DLMs) offer a promising non-autoregressive alternative for text generation, yet effective mechanisms for inference-time control remain relatively underexplored. Existing approaches include sampling-level…

Computation and Language · Computer Science 2026-01-30 Eden Avrahami , Eliya Nachmani

A common pipeline in learning-based control is to iteratively estimate a model of system dynamics, and apply a trajectory optimization algorithm - e.g.~$\mathtt{iLQR}$ - on the learned model to minimize a target cost. This paper conducts a…

Machine Learning · Computer Science 2023-05-17 Daniel Pfrommer , Max Simchowitz , Tyler Westenbroek , Nikolai Matni , Stephen Tu

In this paper, we address Linear Quadratic Regulator (LQR) problems through a novel iterative algorithm named EXtremum-seeking Policy iteration LQR (EXP-LQR). The peculiarity of EXP-LQR is that it only needs access to a truncated…

Optimization and Control · Mathematics 2025-06-13 Guido Carnevale , Nicola Mimmo , Giuseppe Notarstefano

The linear quadratic regulator (LQR) problem is a cornerstone of automatic control, and it has been widely studied in the data-driven setting. The various data-driven approaches can be classified as indirect (i.e., based on an identified…

Optimization and Control · Mathematics 2021-09-15 Florian Dörfler , Pietro Tesi , Claudio De Persis

A promising method for constructing a data-driven output-feedback control law involves the construction of a model-free observer. The Linear Quadratic Regulator (LQR) optimal control policy can then be obtained by both policy-iteration (PI)…

Optimization and Control · Mathematics 2025-09-24 Liquan Lin , Haoyan Lin , Jie Huang

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…

Optimization and Control · Mathematics 2017-09-18 Bin Zhou

Autonomous drifting is a complex challenge due to the highly nonlinear dynamics and the need for precise real-time control, especially in uncertain environments. To address these limitations, this paper presents a hierarchical control…

Robotics · Computer Science 2025-03-17 Yangyang Xie , Cheng Hu , Nicolas Baumann , Edoardo Ghignone , Michele Magno , Lei Xie

Hybrid dynamical systems pose significant challenges for effective planning and control, especially when additional constraints such as obstacle avoidance, state boundaries, and actuation limits are present. In this letter, we extend the…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Pietro Noah Crestaz , Gokhan Alcan , Ville Kyrki

We present a new algorithm for solving linear-quadratic regulator (LQR) problems with linear equality constraints, also known as constrained LQR (CLQR) problems. Our method's sequential runtime is linear in the number of stages and…

Optimization and Control · Mathematics 2024-08-06 João Sousa-Pinto , Dominique Orban

Differentiable quantum architecture search (DQAS) is a gradient-based framework to design quantum circuits automatically in the NISQ era. It was motivated by such as low fidelity of quantum hardware, low flexibility of circuit architecture,…

Quantum Physics · Physics 2023-09-21 Yize Sun , Yunpu Ma , Volker Tresp

We propose a new risk-constrained reformulation of the standard Linear Quadratic Regulator (LQR) problem. Our framework is motivated by the fact that the classical (risk-neutral) LQR controller, although optimal in expectation, might be…

Systems and Control · Electrical Eng. & Systems 2020-10-30 Anastasios Tsiamis , Dionysios S. Kalogerias , Luiz F. O. Chamon , Alejandro Ribeiro , George J. Pappas

The Linear Quadratic Regulator (LQR), which is arguably the most classical problem in control theory, was recently related to kernel methods in (Aubin-Frankowski, SICON, 2021) for finite dimensional systems. We show that this result extends…

Optimization and Control · Mathematics 2022-10-12 Pierre-Cyril Aubin-Frankowski , Alain Bensoussan

This paper studies the robustness of reinforcement learning algorithms to errors in the learning process. Specifically, we revisit the benchmark problem of discrete-time linear quadratic regulation (LQR) and study the long-standing open…

Optimization and Control · Mathematics 2021-03-16 Bo Pang , Zhong-Ping Jiang

Factor graph represents the factorization of a probability distribution function and serves as an effective abstraction in various autonomous machine computing tasks. Control is one of the core applications in autonomous machine computing…

Hardware Architecture · Computer Science 2023-08-08 Yuhui Hao , Bo Yu , Qiang Liu , Shao-Shan Liu

Discovering governing differential equations from observational data is a fundamental challenge in scientific machine learning. Existing symbolic regression approaches rely primarily on quantitative metrics; however, real-world differential…

Artificial Intelligence · Computer Science 2026-05-11 Sum Kyun Song , Bong Gyun Shin , Jae Yong Lee

In this paper, we study a transfer learning framework for Linear Quadratic Regulator (LQR) control, where (i) the dynamics of the system of interest (target system) are unknown and only a short trajectory of impulse responses from the…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Taosha Guo , Fabio Pasqualetti

In this work we evaluate Iterative Linear Quadratic Regulator(ILQR) for trajectory tracking of two different kinds of wheeled mobile robots namely Warthog (Fig. 1), an off-road holonomic robot with skid-steering and Polaris GEM e6 [1], a…

Robotics · Computer Science 2025-05-14 Akhil Nagariya , Srikanth Saripalli

This work addresses the problem of risk-sensitive control for nonlinear systems with imperfect state observations, extending results for the linear case. In particular, we derive an algorithm that can compute local solutions with…

Optimization and Control · Mathematics 2021-10-22 Bilal Hammoud , Armand Jordana , Ludovic Righetti

Output reference tracking can be improved by iteratively learning from past data to inform the design of feedforward control inputs for subsequent tracking attempts. This process is called iterative learning control (ILC). This article…

Systems and Control · Electrical Eng. & Systems 2021-08-18 Isaac A Spiegel , Nard Strijbosch , Tom Oomen , Kira Barton