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Lagrange方程 1

吸气式高超声速飞行器；随机鲁棒性分析；二次线性调节器；粒子群优化；改进混合粒子群算法 1

旋转倒立摆 1

最优控制策略LQR 1

线性二次最优；编队控制；代数里卡蒂方程；最优控制；多智能体系统 1

铰接车辆；急转弯；侧向稳定性；线性二次型控制 1

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A hybrid LQR-PID control design for seismic control of buildings equipped with ATMD

Amir Hossein HEIDARI, Sadegh ETEDALI, Mohamad Reza JAVAHERI-TAFTI

《结构与土木工程前沿（英文）》 2018年第12卷第1期页码 44-57 doi: 10.1007/s11709-016-0382-6

摘要： This paper presents an efficient hybrid control approach through combining the idea of proportional-integral-derivative (PID) controller and linear quadratic regulator (LQR) control algorithm. The proposed LQR-PID controller, while having the advantage of the classical PID controller, is easy to implement in seismic-excited structures. Using an optimization procedure based on a cuckoo search (CS) algorithm, the LQR-PID controller is designed for a seismic- excited structure equipped with an active tuned mass damper (ATMD). Considering four earthquakes, the performance of the proposed LQR-PID controller is evaluated. Then, the results are compared with those given by a LQR controller. The simulation results indicate that the LQR-PID performs better than the LQR controller in reduction of seismic responses of the structure in the terms of displacement and acceleration of stories of the structure.

关键词： seismic control tuned mass dampers cuckoo search PID controller LQR controller

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基于Lagrange方程建模的单级旋转倒立摆控制

吴爱国,张小明,张钊

《中国工程科学》 2005年第7卷第10期页码 11-15

摘要：利用线性二次型最优控制策略LQR方法设计了控制器，并在仿真实验和实物实验中实现了倒立摆的平衡控制。实验表明，系统稳定性好、鲁棒性较强。

关键词：旋转倒立摆 Lagrange方程最优控制策略LQR

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Vehicle roll stability control with active roll-resistant electro-hydraulic suspension

Lijun XIAO, Ming WANG, Bangji ZHANG, Zhihua ZHONG

《机械工程前沿（英文）》 2020年第15卷第1期页码 43-54 doi: 10.1007/s11465-019-0547-9

摘要： This study examines roll stability control for vehicles with an active roll-resistant electro-hydraulic suspension (RREHS) subsystem under steering maneuvers. First, we derive a vehicle model with four degrees of freedom and incorporates yaw and roll motions. Second, an optimal linear quadratic regulator controller is obtained in consideration of dynamic vehicle performance. Third, an RREHS subsystem with an electric servo-valve actuator is proposed, and the corresponding dynamic equations are obtained. Fourth, field experiments are conducted to validate the performance of the vehicle model under sine-wave and double-lane-change steering maneuvers. Finally, the effectiveness of the active RREHS is determined by examining vehicle responses under sine-wave and double-lane-change maneuvers. The enhancement in vehicle roll stability through the RREHS subsystem is also verified.

关键词： electro-hydraulic suspension roll stability LQR experiment

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A linear quadratic regulator control of a stand-alone PEM fuel cell power plant

Amar BENAISSA, Boualaga RABHI, Ammar MOUSSI, Dahmani AISSA

《能源前沿（英文）》 2014年第8卷第1期页码 62-72 doi: 10.1007/s11708-013-0291-5

摘要： This paper introduces a technique based on linear quadratic regulator (LQR) to control the output voltage at the load point versus load variation from a stand-alone proton exchange membrane (PEM) fuel cell power plant (FCPP) for a group housing use. The controller modifies the optimal gains by minimizing a cost function, and the phase angle of the AC output voltage to control the active and reactive power output from an FCPP to match the terminal load. The control actions are based on feedback signals from the terminal load, output voltage and fuel cell feedback current. The topology chosen for the simulation consists of a 45 kW proton exchange membrane fuel cell (PEMFC), boost type DC/DC converter, a three-phase DC/AC inverter followed by an LC filter. Simulation results show that the proposed control strategy operated at low commutation frequency (2 kHz) offers good performances versus load variations with low total harmonic distortions (THD) , which is very useful for high power applications.

关键词： modeling of proton exchange membrane fuel cell (PEMFC) controlling of PEMFC linear quadratic regulator (LQR) DC/DC converter DC/AC inverter

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Load shedding scheme for the two-area system with linear quadratic regulator

D. TYAGI, Ashwani KUMAR, Saurabh CHANANA

《能源前沿（英文）》 2013年第7卷第1期页码 90-102 doi: 10.1007/s11708-012-0224-8

摘要： The power system is prone to many emergency conditions which may lead to emergency state of operation with decay in the system frequency. The dramatic change in the frequency can result in cascaded failure of the system. In order to avoid power system collapse, load shedding (LS) schemes are adopted with the optimal amount of load shed. This paper proposed a methodology in a two-area thermal-thermal system for finding the required amount of load to be shed for setting the frequency of the system within minimum allowable limits. The LS steps have been obtained based on the rate of change of frequency with the increase in load in steps. A systematic study has been conducted for three scenarios: the scheme with a conventional integral controller; the scheme with a linear quadratic regulator (LQR); and the scheme with an LQR and superconducting magnetic energy storage devices (SMES). A comparison of the results has been presented on the two-area system.

关键词： critical load frequency response load shedding (LS) multi-area system rate of change of frequency linear quadratic regulator (LQR) superconducting magnetic energy storage devices (SMES)

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铰接车辆的主动转向控制策略研究 Article

Kyong-il KIM,Hsin GUAN,Bo WANG,Rui GUO,Fan LIANG

《信息与电子工程前沿（英文）》 2016年第17卷第6期页码 576-586 doi: 10.1631/FITEE.1500211

摘要：为了提高铰接车辆的机动性及高速稳定性，基于线性二次型最优控制理论提出了一种用于拖车和挂车的主动转向控制策略。首先建立了3自由度的带挂车主动转向的拖挂车简化模型。运用基于模拟退火的粒子群优化算法对简化模型在特定速度和方向盘角度下的车辆关键参数进行辨识，简化模型的参数可通过当前车辆工况查表和插值获得。仿真结果表明简化模型的输出结果与TruckSim一致性较好，这样简化模型可准确为控制器提供理想的横摆角速度。设计了基于线性二次型最优控制的主动转向控制器。控制器时刻跟踪理想的横摆角速度并同时尽量降低拖车和挂车的质心侧偏角。最后，基于TruckSim-Simulink联合仿真分别进行了低速和高速试验。仿真试验结果表明主动转向控制策略能显著改善拖挂车低速的机动性和高速稳定性。控制策略不仅适用于弯度不大的转弯路况，还适用于急转弯路况。

关键词：铰接车辆；急转弯；侧向稳定性；线性二次型控制

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基于随机鲁棒性分析的吸气式高超声速飞行器线性二次调节器设计 Article

Lin CAO, Shuo TANG, Dong ZHANG

《信息与电子工程前沿（英文）》 2017年第18卷第7期页码 882-897 doi: 10.1631/FITEE.1601363

摘要：本文介绍了一种改进的基于随机鲁棒性分析的线性二次调节器（linear-quadratic regulator, LQR）设计方法，用于AHV的纵向飞行控制器设计。首先，应用输入输出反馈线性化技术设计LQR控制器。其次，基于系统参数的不确定性，将系统鲁棒性表征为满足稳定性与设计指标要求的概率，并构建系统鲁棒性与LQR参数之间的映射关系。为了实现系统鲁棒性最大化的目标，提出一种全新的混合粒子群优化算法对LQR的控制参数进行寻优计算。在优化迭代的过程中，使用切诺夫边界理论确定蒙特卡洛估计的随机样本量。最后，仿真结果表明该优化算法可以高效地获取满足设计要求的LQR控制参数最优解。

关键词：吸气式高超声速飞行器；随机鲁棒性分析；二次线性调节器；粒子群优化；改进混合粒子群算法

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基于线性二次最优化的多智能体编队控制

Chang-bin Yu, Yin-qiu Wang, Jin-liang Shao,brad.yu@anu.edu.au,wh6508@gmail.com,jinliangshao@126.com

《信息与电子工程前沿（英文）》 2016年第17卷第2期页码 96-109 doi: 10.1631/FITEE.1500490

摘要：方法：应用代数图论以及矩阵理论的相关知识，针对无物理耦合的多智能体系统，通过求解代数里卡蒂方程，设计智能体之间的网络连接拓扑以及局部反馈矩阵，保证多智能体系统在完成编队的同时相应的LQR指标最优。针对有物理耦合的多智能体系统，同样通过求解代数里卡蒂方程，得到相应的网络连接拓扑以及局部反馈矩阵，保证多智能体系统在完成编队的基础上使相应的LQR指标最优；针对有物理耦合但无法设计网络拓扑的多智能体系统

关键词：线性二次最优；编队控制；代数里卡蒂方程；最优控制；多智能体系统

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标题作者时间类型操作

A hybrid LQR-PID control design for seismic control of buildings equipped with ATMD

Amir Hossein HEIDARI, Sadegh ETEDALI, Mohamad Reza JAVAHERI-TAFTI

期刊论文

基于Lagrange方程建模的单级旋转倒立摆控制

吴爱国,张小明,张钊

期刊论文

Vehicle roll stability control with active roll-resistant electro-hydraulic suspension

Lijun XIAO, Ming WANG, Bangji ZHANG, Zhihua ZHONG

期刊论文