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We develop a model-free learning algorithm for the infinite-horizon linear quadratic regulator (LQR) problem. Specifically, (risk) constraints and structured feedback are considered, in order to reduce the state deviation while allowing for…

Optimization and Control · Mathematics 2022-04-06 Kyung-bin Kwon , Lintao Ye , Vijay Gupta , Hao Zhu

This paper considers a disturbance attenuation problem for a linear discrete time invariant system under random disturbances with imprecisely known probability distributions. The statistical uncertainty is measured in terms of relative…

Systems and Control · Computer Science 2015-03-19 Michael M. Tchaikovsky , Alexander P. Kurdyukov , Victor N. Timin

We study state-feedback design for continuous-time LTI systems with a control input and an external input-output pair. Our objective is to determine feedback gains that render the closed-loop system (strictly) passive with respect to the…

Optimization and Control · Mathematics 2026-05-07 Armin Gießler , Pol Jané-Soneira , Sören Hohmann

With the continuous development of large-scale complex hybrid AC-DC grids, the fast adjustability of HVDC systems is required by the grid to provide frequency regulation services. This paper develops a fully data-driven linear quadratic…

Systems and Control · Electrical Eng. & Systems 2022-12-05 Qianni Cao , Ye Liu , Chen Shen

We consider stochastic optimal control of linear dynamical systems with additive non-Gaussian disturbance. We propose a novel, sampling-free approach, based on Fourier transformations and convex optimization, to cast the stochastic optimal…

Optimization and Control · Mathematics 2020-10-06 Vignesh Sivaramakrishnan , Abraham P. Vinod , Meeko M. K. Oishi

This paper introduces an $\mathcal{L}_1$ adaptive control augmentation for geometric tracking control of quadrotors. In the proposed design, the $\mathcal{L}_1$ augmentation handles nonlinear (time- and state-dependent) uncertainties in the…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Zhuohuan Wu , Sheng Cheng , Kasey A. Ackerman , Aditya Gahlawat , Arun Lakshmanan , Pan Zhao , Naira Hovakimyan

We propose a new risk-constrained formulation of the classical Linear Quadratic (LQ) stochastic control problem for general partially-observed systems. Our framework is motivated by the fact that the risk-neutral LQ controllers, although…

Optimization and Control · Mathematics 2021-12-15 Anastasios Tsiamis , Dionysios S. Kalogerias , Alejandro Ribeiro , George J. Pappas

This paper studies the linear quadratic regulation (LQR) problem of unknown discrete-time systems via dynamic output feedback learning control. In contrast to the state feedback, the optimality of the dynamic output feedback control for…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Kedi Xie , Martin Guay , Shimin Wang , Fang Deng , Maobin Lu

With quadrotor use seeing extensive growth in recent years, the autonomous control of these Unmanned Aerial Vehicles (UAVs) is an increasing relevant and intersting field. In this paper a linear state-space approach at designing a stable…

Systems and Control · Computer Science 2014-10-03 Graeme N. Wilson , Alejandro Ramirez-Serrano , Qiao Sun

This paper presents a novel nonlinear backstepping control law for continuous, low-thrust station-keeping in the Earth-Moon system. Quasi-periodic libration point orbits are targeted under a high-fidelity model of the dynamics. Almost…

Systems and Control · Electrical Eng. & Systems 2026-04-17 António Nunes , Sérgio Brás , Pedro Batista

We take a divide and conquer approach to design controllers for reachability problems given large-scale linear systems with polyhedral constraints on states, controls, and disturbances. Such systems are made of small subsystems with coupled…

Systems and Control · Electrical Eng. & Systems 2022-08-04 Kasra Ghasemi , Sadra Sadraddini , Calin Belta

Unmanned aerospace vehicles usually carry sensors (i.e., electro-optical and/or infrared imaging cameras) as their primary payload. These sensors are used for image processing, target tracking, surveillance, mapping, and providing…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Damla Leblebicioğlu , Ozgur Atesoglu , Anil E. Derinoz , Melih Cakmakci

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…

Robotics · Computer Science 2025-01-28 Micah Reich

This paper considers optimal control of a quadrotor unmanned aerial vehicles (UAV) using the discrete-time, finite-horizon, linear quadratic regulator (LQR). The state of a quadrotor UAV is represented as an element of the matrix Lie group…

Robotics · Computer Science 2021-05-31 Mitchell R. Cohen , Khairi Abdulrahim , James Richard Forbes

We consider the problem of designing a feedback controller that guides the input and output of a linear time-invariant system to a minimizer of a convex optimization problem. The system is subject to an unknown disturbance that determines…

Optimization and Control · Mathematics 2018-10-10 Liam S. P. Lawrence , Zachary E. Nelson , Enrique Mallada , John W. Simpson-Porco

The optimization problems with simple bounds are an important class of problems. To facilitate the computation of such problems, an unconstrained-like dynamic method, motivated by the Lyapunov control principle, is proposed. This method…

Optimization and Control · Mathematics 2021-10-19 Sheng Zhang , Xin Du , Fang-Fang Hu , Jiang-Tao Huang

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…

Optimization and Control · Mathematics 2024-09-20 Lintao Ye , Aritra Mitra , Vijay Gupta

This paper deals with the simultaneous gust and maneuver load alleviation problem of a seamless active morphing wing. The incremental nonlinear dynamic inversion with quadratic programming control allocation and virtual shape functions…

Systems and Control · Electrical Eng. & Systems 2021-01-01 Xuerui Wang , Tigran Mkhoyan , Iren Mkhoyan , Roeland De Breuker

Microgrids are increasingly being utilized to improve the resilience and operational flexibility of power grids, and act as a backup power source during grid outages. However, it necessitates that the microgrid itself could provide power to…

Optimization and Control · Mathematics 2023-04-10 Xu Du , Shijie Zhu , Yifei Wang , Boyu Han , Xiaohe He

This manuscript primarily aims to enhance the performance of whole-body controllers(WBC) for underactuated legged locomotion. We introduce a systematic parameter design mechanism for the floating-base feedback control within the WBC. The…

Robotics · Computer Science 2024-04-02 Shunpeng Yang , Zejun Hong , Sen Li , Patrick Wensing , Wei Zhang , Hua Chen