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This paper studies a deep deterministic policy gradient (DDPG) based actor critic (AC) reinforcement learning (RL) technique to control a linear discrete-time system with a quadratic control cost while ensuring a constraint on the…

Systems and Control · Electrical Eng. & Systems 2023-12-22 Arunava Naha , Subhrakanti Dey

We consider adaptive control of the Linear Quadratic Regulator (LQR), where an unknown linear system is controlled subject to quadratic costs. Leveraging recent developments in the estimation of linear systems and in robust controller…

Machine Learning · Computer Science 2018-05-25 Sarah Dean , Horia Mania , Nikolai Matni , Benjamin Recht , Stephen Tu

This paper concerns the problem of learning control policies for an unknown linear dynamical system to minimize a quadratic cost function. We present a method, based on convex optimization, that accomplishes this task robustly: i.e., we…

Optimization and Control · Mathematics 2019-06-05 Jack Umenberger , Mina Ferizbegovic , Thomas B. Schön , Håkan Hjalmarsson

In this paper, we consider the adaptive linear quadratic Gaussian control problem, where both the linear transformation matrix of the state $A$ and the control gain matrix $B$ are unknown. The proposed adaptive optimal control only assumes…

Optimization and Control · Mathematics 2024-09-17 Nian Liu , Cheng Zhao , Shaolin Tan , Jinhu Lü

This paper presents a state and state-input constrained variant of the discrete-time iterative Linear Quadratic Regulator (iLQR) algorithm, with linear time-complexity in the number of time steps. The approach is based on a projection of…

Robotics · Computer Science 2018-05-25 Markus Giftthaler , Jonas Buchli

Reinforcement Learning (RL) has emerged as a powerful framework for sequential decision-making in dynamic environments, particularly when system parameters are unknown. This paper investigates RL-based control for entropy-regularized…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Gabriel Diaz , Lucky Li , Wenhao Zhang

We study the problem of adaptive control in partially observable linear quadratic Gaussian control systems, where the model dynamics are unknown a priori. We propose LqgOpt, a novel reinforcement learning algorithm based on the principle of…

Machine Learning · Computer Science 2020-06-25 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

In this paper long-run risk sensitive optimisation problem is studied with dyadic impulse control applied to continuous-time Feller-Markov process. In contrast to the existing literature, focus is put on unbounded and non-uniformly ergodic…

Optimization and Control · Mathematics 2019-06-18 Marcin Pitera , Łukasz Stettner

We present a stochastic model predictive control framework for nonlinear systems subject to unbounded process noise with closed-loop guarantees. First, we provide a conceptual shrinking-horizon framework that utilizes general probabilistic…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Johannes Köhler , Melanie N. Zeilinger

This paper proposes a stochastic model predictive control method for linear systems affected by additive Gaussian disturbances that optimizes over disturbance feedback matrices online. Closed-loop satisfaction of probabilistic constraints…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Marcell Bartos , Alexandre Didier , Jerome Sieber , Johannes Köhler , Melanie N. Zeilinger

This paper develops a quantized Q-learning algorithm for the optimal control of controlled diffusion processes on $\mathbb{R}^d$ under both discounted and ergodic (average) cost criteria. We first establish near-optimality of finite-state…

Optimization and Control · Mathematics 2026-03-16 Erhan Bayraktar , Ali D. Kara , Somnath Pradhan , Serdar Yuksel

In this paper, we will deal with a Linear Quadratic Optimal Control problem with unknown dynamics. As a modeling assumption, we will suppose that the knowledge that an agent has on the current system is represented by a probability…

Optimization and Control · Mathematics 2022-01-13 Andrea Pesare , Michele Palladino , Maurizio Falcone

In search and surveillance applications in robotics, it is intuitive to spatially distribute robot trajectories with respect to the probability of locating targets in the domain. Ergodic coverage is one such approach to trajectory planning…

Robotics · Computer Science 2017-07-25 Elif Ayvali , Hadi Salman , Howie Choset

This paper studies the data-driven synthesis of linear quadratic integral (LQI) controllers for continuous-time systems. The objective is to achieve optimal state-feedback control with integral action for reference tracking using only…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

Linear Quadratic Regulator (LQR) design is one of the most classical optimal control problems, whose well-known solution is an input sequence expressed as a state-feedback. In this work, finite-horizon and discrete-time LQR is solved under…

Optimization and Control · Mathematics 2020-01-17 Anna Scampicchio , Aleksandr Aravkin , Gianluigi Pillonetto

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

This paper considers links between the original risk-sensitive performance criterion for quantum control systems and its recent quadratic-exponential counterpart. We discuss a connection between the minimization of these cost functionals…

Quantum Physics · Physics 2018-02-02 Igor G. Vladimirov , Ian R. Petersen , Matthew R. James

Dynamic capacity allocation control for resource sharing networks (RSN) is studied when the networks are in heavy traffic. The goal is to minimize an ergodic cost with a linear holding cost function. Our main result shows that the optimal…

Optimization and Control · Mathematics 2023-12-25 Amarjit Budhiraja , Michael Conroy , Dane Johnson

We propose controller synthesis for state regulation problems in which a human operator shares control with an autonomy system, running in parallel. The autonomy system continuously improves over human action, with minimal intervention, and…

Systems and Control · Computer Science 2019-09-23 Murad Abu-Khalaf , Sertac Karaman , Daniela Rus

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…

Optimization and Control · Mathematics 2011-11-04 Ying Hu , Hanqing Jin , Xun Yu Zhou
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