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In this report, linear quadratic regulator is used to design adaptive cruise control system. In the regulator, Q and R parameters vary with time according to current traffic situations. Phase-plant method is used to give constraints on Q…

Systems and Control · Electrical Eng. & Systems 2020-08-06 Yuncheng Jiang

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 proposes an automatic controller tuning framework based on linear optimal control combined with Bayesian optimization. With this framework, an initial set of controller gains is automatically improved according to a pre-defined…

Robotics · Computer Science 2017-09-21 Alonso Marco , Philipp Hennig , Jeannette Bohg , Stefan Schaal , Sebastian Trimpe

Quantum optimal control for gate optimization aims to provide accurate, robust, and fast pulse sequences to achieve gate fidelities on quantum systems below the error correction threshold. Many methods have been developed and successfully…

Quantum Physics · Physics 2025-06-05 Dirk Heimann , Felix Wiebe , Tahereh Abad , Elie Mounzer , Tangyou Huang , Frank Kirchner , Shivesh Kumar

Unpredictable and complex aerodynamic effects pose significant challenges to achieving precise flight control, such as the downwash effect from upper vehicles to lower ones. Conventional methods often struggle to accurately model these…

Robotics · Computer Science 2024-09-30 Yuan Gao , Yinyi Lai , Jun Wang , Yini Fang

In this paper we provide direct data-driven expressions for the Linear Quadratic Regulator (LQR), the Kalman filter, and the Linear Quadratic Gaussian (LQG) controller using a finite dataset of noisy input, state, and output trajectories.…

Optimization and Control · Mathematics 2023-09-21 Abed AlRahman Al Makdah , Fabio Pasqualetti

The paper deals with the problem of output regulation of nonlinear systems by presenting a learning-based adaptive internal model-based design strategy. We borrow from the adaptive internal model design technique recently proposed in [1]…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Lorenzo Gentilini , Michelangelo Bin , Lorenzo Marconi

This article presents a unified approach to quadratic optimal control for both linear and nonlinear discrete-time systems, with a focus on trajectory tracking. The control strategy is based on minimizing a quadratic cost function that…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Igor Ladnik

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

Robotics · Computer Science 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason

We consider the linear quadratic Gaussian control problem with a discounted cost functional for descriptor systems on the infinite time horizon. Based on recent results from the deterministic framework, we characterize the feasibility of…

Optimization and Control · Mathematics 2020-04-21 Hermann Mena , Lena-Maria Pfurtscheller , Matthias Voigt

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

Neural and Evolutionary Computing · Computer Science 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail

This paper focuses on the linear quadratic control (LQC) design of systems corrupted by both stochastic noise and bounded noise simultaneously. When only of these noises are considered, the LQC strategy leads to stochastic or robust…

Optimization and Control · Mathematics 2025-12-15 Xuehui Ma , Shiliang Zhang , Xiaohui Zhang , Jing Xin , Hector Garcia de Marina

The Linear Quadratic Gaussian (LQG) problem is a classic and widely studied model in optimal control, providing a fundamental framework for designing controllers for linear systems subject to process and observation noises. In recent years,…

Optimization and Control · Mathematics 2026-03-17 Haoran Li , Xun Li , Yuan-Hua Ni , Xuebo Zhang

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as…

Quantum Physics · Physics 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

Linear-Quadratic-Gaussian (LQG) control is concerned with the design of an optimal controller and estimator for linear Gaussian systems with imperfect state information. Standard LQG assumes the set of sensor measurements, to be fed to the…

Optimization and Control · Mathematics 2020-05-18 Vasileios Tzoumas , Luca Carlone , George J. Pappas , Ali Jadbabaie

This paper studies the stochastic optimal control problem for systems with unknown dynamics. First, an open-loop deterministic trajectory optimization problem is solved without knowing the explicit form of the dynamical system. Next, a…

Systems and Control · Computer Science 2017-05-30 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

This paper develops a control approach with correctness guarantees for the simultaneous operation of lane keeping and adaptive cruise control. The safety specifications for these driver assistance modules are expressed in terms of set…

Optimization and Control · Mathematics 2017-05-09 Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada , Aaron D. Ames

In this contribution, we derive ILEG, an iterative algorithm to find risk sensitive solutions to nonlinear, stochastic optimal control problems. The algorithm is based on a linear quadratic approximation of an exponential risk sensitive…

Systems and Control · Computer Science 2015-12-23 Farbod Farshidian , Jonas Buchli

To achieve high resolution imaging the standard control algorithm used for classical adaptive optics (AO) is the simple but efficient proportional-integral (PI) controller. The goal is to minimize the root mean square (RMS) error of the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Qiang Fu , Jörg-Uwe Pott , Peter Dethard , Feng Shen , Changhui Rao , Xinyang Li

Linear-Quadratic-Gaussian (LQG) control is a fundamental control paradigm that is studied in various fields such as engineering, computer science, economics, and neuroscience. It involves controlling a system with linear dynamics and…

Optimization and Control · Mathematics 2023-11-02 Bahar Taşkesen , Dan A. Iancu , Çağıl Koçyiğit , Daniel Kuhn
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