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Finite frequency domain H∞ hybrid control design of drag-free spacecraft with model-based generalized extended state observer 利用基于模型的广义扩展状态观测器进行无阻力航天器的有限频域 H∞ 混合控制设计
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-24 DOI: 10.1016/j.conengprac.2024.106096
Qianjiao Xu , Bing Cui , Pengcheng Wang , Yuanqing Xia , Yonghe Zhang
For the drag-free spacecraft on the space-borne gravitational wave detection mission, the drag-free control scheme is considered one of the core technologies to achieve the ultra-quiet-stable control requirements in the measurement bandwidth (MBW). This high-precision control performance is constrained by actuation noises, measurement noises, environmental disturbances, and the limited control bandwidth. In order to address these difficulties, a finite frequency domain double closed-loop control (DCC) framework with the parameter design method is proposed in this paper. First, a model-based generalized extended state observer (MGESO) framework is proposed. This framework integrates plant estimation and disturbance estimation components to accurately estimate those disturbances and noises with lower orders. Then, based on the MGESO framework, the DCC framework is proposed for drag-free control. Within the control structure, the performance specifications can be directly divided into the inner and outer loop performances, which reduces the complexity of the parameter tuning. Subsequently, a finite frequency domain parameter tuning method for the DCC framework is provided, leveraging the generalized Kalman-Yakubovich-Popov (GKYP) lemma. The introduction of the sensitive frequency domain as a design constraint can result in a reduction of control expenditures. Finally, the effectiveness and superiority of the DCC structure are verified in the drag-free spacecraft hardware-in-loop experiment platform.
对于执行天基引力波探测任务的无阻力航天器来说,无阻力控制方案被认为是实现测量带宽(MBW)内超静音稳定控制要求的核心技术之一。这种高精度控制性能受到执行噪声、测量噪声、环境干扰和有限控制带宽的限制。为了解决这些难题,本文提出了一种有限频域双闭环控制(DCC)框架和参数设计方法。首先,本文提出了基于模型的广义扩展状态观测器(MGESO)框架。该框架集成了工厂估计和干扰估计组件,可精确估计低阶干扰和噪声。然后,基于 MGESO 框架,提出了用于无阻力控制的 DCC 框架。在控制结构中,性能指标可直接分为内环和外环性能,从而降低了参数调整的复杂性。随后,利用广义卡尔曼-雅库博维奇-波波夫(GKYP)定理,为 DCC 框架提供了一种有限频域参数调整方法。引入敏感频域作为设计约束,可以减少控制支出。最后,在无阻力航天器硬件在环实验平台上验证了 DCC 结构的有效性和优越性。
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引用次数: 0
Signal-Interpreted Coloured Petri Nets: A modelling tool for rapid prototyping in feedback-based control of discrete event systems 信号解释彩色 Petri 网:离散事件系统基于反馈控制的快速原型建模工具
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-23 DOI: 10.1016/j.conengprac.2024.106099
Matheus Ungaretti Borges , Alessandro Pilloni , Gustavo Ribeiro Pontes , Carla Seatzu , Eduardo José Lima II
Petri nets (PNs) are typically used for design and verification rather than direct control implementation. In this paper, aligning with the Industry 4.0 paradigm’s focus on flexible and reconfigurable control systems, we propose a modelling tool for rapidly prototyping feedback-based discrete-event control algorithms on programmable controllers such as PLCs or microcontroller boards. This modelling tool, named Signal Interpreted Coloured Petri Nets (SICPNs), aims to combine the formal modelling expressiveness of Coloured PNs with the capabilities of Signal Interpreted PNs, which are specialised in processing plant measurements and determining actuator commands. This contribution involves: (a) the formal definition of SICPN; (b) the presentation in the IEC61131-3 compliant SCL language of the so-called Token Player, a software entity designed to support feedback-based decision-making within the SICPN; (c) the validation of the effectiveness of the proposed formalism in controlling an extended configuration of the FESTO Modular Processing Station (MPS) using an Arduino microcontroller via two-way UART serial communications; (d) the modelling of a Digital Twin of the FESTO MPS testbed. The tests demonstrate that, during transitions, the colour and signal interpretation conditions enable the microcontroller to accurately schedule and dynamically reconfigure control actions while keeping the size of the PN-based controller small relative to the control problem’s complexity.
Petri 网 (PN) 通常用于设计和验证,而不是直接实现控制。本文结合工业 4.0 范式对灵活和可重构控制系统的关注,提出了一种建模工具,用于在 PLC 或微控制器板等可编程控制器上快速原型化基于反馈的离散事件控制算法。该建模工具被命名为信号解释彩色 Petri 网(SICPNs),旨在将彩色 PNs 的形式建模表达能力与信号解释 PNs 的功能相结合,后者专门用于处理工厂测量和确定执行器指令。这一贡献包括:(a) SICPN 的形式定义;(b) 用符合 IEC61131-3 标准的 SCL 语言介绍所谓的令牌播放器,这是一个软件实体,旨在支持 SICPN 内基于反馈的决策;(c) 验证所提议的形式主义在使用 Arduino 微控制器通过双向 UART 串行通信控制 FESTO 模块化处理站(MPS)的扩展配置方面的有效性;(d) FESTO MPS 试验台的数字孪生体建模。测试表明,在过渡期间,颜色和信号解释条件使微控制器能够准确地安排和动态地重新配置控制操作,同时保持基于 PN 的控制器的体积相对于控制问题的复杂性较小。
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引用次数: 0
Output consensus for interconnected heterogeneous systems via a combined model predictive control and integral sliding mode control with application to CSTRs 通过模型预测控制和积分滑模控制相结合的方法实现互联异构系统的输出共识,并将其应用于中央反应器
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-20 DOI: 10.1016/j.conengprac.2024.106100
Ye Zhang , Fei Li , Shouli Gao , Dongya Zhao , Xing-Gang Yan , Sarah K. Spurgeon

Interconnected structures are commonly found in process networks. In this paper, an output consensus framework is proposed for a class of continuous interconnected linear heterogeneous systems subject to disturbances and constraints. The distributed output consensus control strategy is developed by combining integral sliding mode control with model predictive control. The integral sliding mode control is designed to eliminate a class of matched disturbances. The model predictive control plays two main roles: On the one hand, it drives the system states to track the steady state values so as to achieve output consensus; on the other hand, it helps to deal with interconnections and constraints existing in systems. In the meantime, a distributed iterative algorithm is designed to acquire the system steady states. A simulation example and an experiment relating to control of systems of interconnected CSTRs are presented to validate the effectiveness and superiority of the proposed method.

流程网络中通常存在互连结构。本文针对一类受干扰和约束的连续互联线性异构系统提出了一个输出共识框架。分布式输出共识控制策略是通过将积分滑模控制与模型预测控制相结合而开发的。积分滑模控制旨在消除一类匹配干扰。模型预测控制起两个主要作用:一方面,它驱动系统状态跟踪稳态值,以实现输出共识;另一方面,它有助于处理系统中存在的互连和约束。同时,设计了一种分布式迭代算法来获取系统稳态。为了验证所提方法的有效性和优越性,介绍了一个仿真实例和一个与相互连接的中央反应器系统控制有关的实验。
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引用次数: 0
HFTL-KD: A new heterogeneous federated transfer learning approach for degradation trajectory prediction in large-scale decentralized systems HFTL-KD:用于大规模分散系统退化轨迹预测的新型异构联合迁移学习方法
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-19 DOI: 10.1016/j.conengprac.2024.106098
Shixiang Lu, Zhi-Wei Gao, Yuanhong Liu

Restrictions arising from the limited training data and privacy preservation make large-scale lithium-ion battery degradation trajectory prediction challenging. In this study, a novel heterogeneous federated transfer learning with knowledge distillation approach is proposed for lithium-ion battery lifetime prediction with scarce training data and privacy concerns. The approach enables each device in large-scale decentralized system to not only own its private data, but also a unique network designed based on its resource constraints. Specifically, the central server first designs its unique network according to the resource constraints of each device, and trains the network on publicly available data with entire degradation cycles, thus avoiding the high cost of collecting abundant degradation cycles. Then, the trained model is transferred to each device for collaborative training, in which the knowledge of heterogeneous models extracted by knowledge distillation is used for communication between the isolated devices, rather than the parameters in conventional federated learning. Extensive real-world datasets are leveraged to verify the effectiveness of the proposed approach. The comparison results demonstrate that the proposed method outperforms seven benchmarks. An ablation study indicates that the approach can achieve satisfactory battery residual life prediction while preserving privacy.

有限的训练数据和隐私保护所带来的限制使得大规模锂离子电池退化轨迹预测具有挑战性。本研究针对训练数据稀缺和隐私保护问题,提出了一种新颖的异构联合迁移学习与知识提炼方法,用于锂离子电池寿命预测。该方法使大规模分散系统中的每个设备不仅拥有自己的隐私数据,还能根据其资源限制设计出独特的网络。具体来说,中央服务器首先根据每个设备的资源限制设计其独特的网络,并在公开的具有完整降解周期的数据上训练该网络,从而避免了收集大量降解周期的高成本。然后,将训练好的模型传输到每个设备上进行协作训练,在协作训练中,通过知识提炼提取的异构模型知识被用于孤立设备之间的通信,而不是传统联合学习中的参数。我们利用广泛的真实数据集来验证所提方法的有效性。比较结果表明,所提出的方法优于七个基准。一项消融研究表明,该方法可以在保护隐私的同时实现令人满意的电池剩余寿命预测。
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引用次数: 0
Closed-loop identification of a MSW grate incinerator using Bayesian Optimization for selecting model inputs and structure 利用贝叶斯优化法选择模型输入和结构,对 MSW 炉排焚化炉进行闭环识别
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-18 DOI: 10.1016/j.conengprac.2024.106075
Johannes Lips , Stefan DeYoung , Max Schönsteiner , Hendrik Lens

The creation of low-order dynamic models for complex industrial systems is complicated by disturbances and limited sensor accuracy. This work presents a system identification procedure that uses machine learning methods and process knowledge to robustly identify a low-order closed-loop model of a municipal solid waste (MSW) grate incineration plant. These types of plants are known for their strong disturbances coming from fuel composition variations. Using Bayesian Optimization, the algorithm both ranks and selects inputs from the available sensor data and chooses the model structure from a broad grey-box model class. This results in accurate low-order models that respect the known physics of the process. Multiple flue gas composition measurements are used as inputs to provide information on the fuel composition. The method is applied and validated using data of an industrial MSW incineration plant and compared against four established methods, of which the resulting models either show unphysical dynamic behaviour or have lower performance than the proposed method. Also on a numerical benchmark, the proposed method outperforms the alternative methods. The obtained MSW incinerator models give excellent predictions and confidence intervals for the steam capacity and intermediate quantities such as supply air flow and flue gas temperature. The identified continuous-time models are fully given, and their step-response dynamics are discussed. The models can be used to develop model-based coordinated unit control schemes for grate incineration plants. The presented method shows great potential for low-order grey-box identification of systems with partial knowledge of the model structure.

由于干扰和传感器精度有限,为复杂工业系统创建低阶动态模型的工作十分复杂。本研究提出了一种系统识别程序,利用机器学习方法和工艺知识,稳健地识别出城市固体废物(MSW)炉排焚烧厂的低阶闭环模型。众所周知,这类工厂会受到燃料成分变化的强烈干扰。该算法采用贝叶斯优化法,从可用的传感器数据中对输入进行排序和选择,并从广泛的灰盒模型类别中选择模型结构。这就产生了尊重已知物理过程的精确低阶模型。多个烟气成分测量值被用作输入,以提供燃料成分信息。该方法使用工业 MSW 焚烧厂的数据进行了应用和验证,并与四种成熟的方法进行了比较,其中得出的模型要么显示出非物理的动态行为,要么性能低于所提议的方法。此外,在数值基准上,建议的方法也优于其他方法。获得的 MSW 焚烧炉模型对蒸汽容量和中间量(如供气流和烟气温度)给出了极好的预测和置信区间。确定的连续时间模型已完全给出,并讨论了它们的阶跃响应动力学。这些模型可用于为炉排焚烧厂开发基于模型的机组协调控制方案。所提出的方法显示了在部分了解模型结构的情况下对系统进行低阶灰箱识别的巨大潜力。
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引用次数: 0
Two-stage spatiotemporal cooperative reentry guidance strategy using transformer and improved beluga whale optimization 利用变压器和改进型白鲸优化的两级时空合作重返大气层制导战略
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-18 DOI: 10.1016/j.conengprac.2024.106078
Xindi Tong , Jia Song , Cheng Xu , Jianglong Yu

This research addresses the challenge of insufficient control margin caused by the coupling of multiple constraints in the cooperative precise reentry guidance of hypersonic vehicles. Drawing inspiration from the concept of spatiotemporal decoupling control, a rapid guidance strategy is developed to ensure precise handling of all constraints, including attack time, attack angle, and trajectory constraints. Initially, during the early phase of gliding flight, the adjustment of the heading angle is conceptualized as a single variable root-solving problem, in relation to the entrance width of the lateral azimuth error corridor. Subsequently, a lateral azimuth error corridor with adaptively narrowing entrance width, coupled with a Transformer network-based bank angle predictor, is incorporated to achieve precise fine-tuning of the heading angle under the soft constraint of velocity. In the later phase of gliding flight, the design of a cooperative guidance law under complex multiple constraints is transformed into a nonlinear rapid optimization problem of control commands. An enhanced beluga whale optimization suited to this guidance task is proposed. Finally, numerical simulations are carried out to validate the effectiveness of the proposed strategy under both nominal and uncertain conditions.

这项研究解决了高超音速飞行器协同精确再入制导过程中多种约束条件耦合导致控制余量不足的难题。从时空解耦控制概念中汲取灵感,开发了一种快速制导策略,以确保精确处理所有约束条件,包括攻击时间、攻击角和轨迹约束条件。最初,在滑翔飞行的早期阶段,航向角的调整被概念化为与横向方位角误差走廊入口宽度相关的单变量根解问题。随后,将自适应缩小入口宽度的横向方位角误差走廊与基于变压器网络的倾角预测器相结合,在速度软约束条件下实现航向角的精确微调。在滑翔飞行的后期阶段,复杂的多重约束条件下的协同制导法则设计被转化为控制指令的非线性快速优化问题。提出了一种适合该制导任务的白鲸优化增强方法。最后,还进行了数值模拟,以验证所提策略在标称和不确定条件下的有效性。
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引用次数: 0
Multi-agent active multi-target search with intermittent measurements 多代理主动多目标搜索与间歇性测量
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-18 DOI: 10.1016/j.conengprac.2024.106094
Bilal Yousuf , Radu Herzal, Zsófia Lendek, Lucian Buşoniu

Consider a multi-agent system that must find an unknown number of static targets at unknown locations as quickly as possible. To estimate the number and positions of targets from noisy and sometimes missing measurements, we use a customized particle-based probability hypothesis density filter. Novel methods are introduced that select waypoints for the agents in a decoupled manner from taking measurements, which allows optimizing over waypoints arbitrarily far in the environment while taking as many measurements as necessary along the way. Optimization involves control cost, target refinement, and exploration of the environment. Measurements are taken either periodically, or only when they are expected to improve target detection, in an event-triggered manner. All this is done in 2D and 3D environments, for a single agent as well as for multiple homogeneous or heterogeneous agents, leading to a comprehensive framework for (Multi-Agent) Active target Search with Intermittent measurements – (MA)ASI. In simulations and real-life experiments involving a Parrot Mambo drone and a TurtleBot3 ground robot, the novel framework works better than baselines including lawnmowers, mutual-information-based methods, active search methods, and our earlier exploration-based techniques.

考虑一个多代理系统,该系统必须尽快在未知位置找到未知数量的静态目标。为了从嘈杂且有时缺失的测量结果中估算出目标的数量和位置,我们使用了一种定制的基于粒子的概率假设密度滤波器。我们引入了新的方法,以与测量脱钩的方式为特工选择航点,这样就可以在环境中任意远的航点上进行优化,同时沿途根据需要进行尽可能多的测量。优化涉及控制成本、目标细化和环境探索。测量可以定期进行,也可以在事件触发的情况下,仅在预期能提高目标探测效率时进行。所有这些都是在二维和三维环境中,针对单个代理以及多个同质或异质代理完成的,从而形成了一个间歇测量的(多代理)主动目标搜索(MA)ASI 综合框架。在涉及 Parrot Mambo 无人机和 TurtleBot3 地面机器人的模拟和实际实验中,新框架的效果优于割草机、基于相互信息的方法、主动搜索方法和我们早期的基于探索的技术等基线方法。
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引用次数: 0
An operating zone model for safety and efficiency monitoring of power generation units in thermal power plants 用于火力发电厂发电设备安全和效率监测的运行区模型
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-18 DOI: 10.1016/j.conengprac.2024.106101
Mengyao Wei , Jiandong Wang , Song Gao , Jie Li , Xiangkun Pang

Safe and efficient operations of thermal power plants become increasingly important, especially in compensating for electricity supply fluctuations in renewable energy. This paper proposes a method to build an operating zone model for safety and efficiency monitoring of power generation units in thermal power plants. The operating zone is a high-dimensional geometric space formed by all steady-state operating points in safe conditions of the coal flow rate, steam valve position, steam pressure and active power. Those operating points are obtained based on allowable variation ranges of process variables and mechanistic models describing the relationships among process variables. The main technical challenge is how to measure uncertainties of mechanistic models estimated from historical data disturbed by noticeable measurement noise. Bayesian theory and goodness-of-fit tests are exploited to tackle this challenge by yielding probability density functions of model parameters. A performance index is defined based on the operating zone model to assess the safety and efficiency of power generation units. Industrial case studies at a large-scale thermal power plant are provided to illustrate the effectiveness of the proposed method.

火力发电厂的安全高效运行变得越来越重要,尤其是在补偿可再生能源的电力供应波动方面。本文提出了一种建立运行区模型的方法,用于火力发电厂发电机组的安全和效率监控。运行区是一个高维几何空间,由煤流量、蒸汽阀门位置、蒸汽压力和有功功率等安全条件下的所有稳态运行点组成。这些运行点是根据过程变量的允许变化范围和描述过程变量之间关系的机械模型得到的。主要的技术难题是如何测量受明显测量噪声干扰的历史数据估算出的力学模型的不确定性。贝叶斯理论和拟合优度测试通过得出模型参数的概率密度函数来解决这一难题。根据运行区模型定义了性能指标,以评估发电设备的安全性和效率。还提供了一个大型火力发电厂的工业案例研究,以说明所提方法的有效性。
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引用次数: 0
Maneuver synchronization of networked rotating platforms using historical nominal command 使用历史名义指令实现网络旋转平台的操纵同步
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-13 DOI: 10.1016/j.conengprac.2024.106081
Shiyao Li , Zhiquan Chen , Qingrui Zhang , Tianjiang Hu , Bo Zhu

Despite the diverse potential applications of networked rotating platforms (NRP), the problem of robust cooperative control of NRP has been rarely investigated. In this paper, a robust synchronized control solution with an explicit parameter-tuning mechanism on comprehensive performance is proposed for NRP. The main features of our solution are two-fold: (a) the historical nominal commands (HNC) of neighbors are used to actively enhance the system cohesiveness performance, (b) an uncertainty and disturbance estimator (UDE) is incorporated into the controller to actively reject disturbances. The idea behind the design is to force the actual error dynamics of each controlled platform to approximate an ideal model equation. As a direct advantage of this design, the performance regulation is reduced to the tuning of the parameters of ideal model and the parameters determining the approximation accuracy. A parameter condition is derived under which the system stability is robust to the actively introduced delay. The relationship between the ultimate bounds of tracking errors and the parameter of UDE is characterized using an inequality. An experimental platform is constructed to verify performance of the controller using several Quanser AEROs and laser pointers. Simulation and experimental results have demonstrated: (a) the effectiveness of the stability condition; (b) the convenience and efficiency in regulating the system performance. Using the proposed controller, the projected points maneuver as an organic whole with excellent cohesiveness and robustness.

尽管网络化旋转平台(NRP)具有多种潜在应用,但对 NRP 的鲁棒协同控制问题却鲜有研究。本文提出了一种针对 NRP 的鲁棒同步控制方案,该方案具有明确的综合性能参数调整机制。我们的解决方案有两个主要特点:(a)利用相邻设备的历史名义指令(HNC)来主动增强系统的一致性能;(b)在控制器中加入不确定性和干扰估计器(UDE)来主动拒绝干扰。这种设计的理念是迫使每个受控平台的实际误差动态逼近理想的模型方程。这种设计的直接优势是,性能调节只需调整理想模型的参数和决定近似精度的参数。推导出一个参数条件,在此条件下,系统稳定性对主动引入的延迟具有鲁棒性。跟踪误差的最终界限与 UDE 参数之间的关系用不等式表示。利用几个 Quanser AERO 和激光指示器构建了一个实验平台来验证控制器的性能。仿真和实验结果表明:(a) 稳定条件的有效性;(b) 调节系统性能的便利性和效率。使用所提出的控制器,投射点作为一个有机整体进行操纵,具有出色的内聚性和鲁棒性。
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引用次数: 0
Internal and external disturbances rejection control for pitch frame of horizontal hydraulic flight motion simulator 水平液压飞行运动模拟器俯仰框架的内外干扰抑制控制
IF 5.4 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-09 DOI: 10.1016/j.conengprac.2024.106077
Xinghua Chen , Xiaochao Liu , Xiaoting Liu

The horizontal hydraulic flight motion simulator (HHFMS) is preferred in the situations of large power and high dynamic for the hardware-in-the-loop simulation of the aerospace field. However, multiple modeling uncertainties prevent HHFMS from receiving accurate simulation of aircraft attitude. Particularly, due to suffering from serious and complex disturbance, pitch frame of HHFMS is more difficult to achieve high-precision control compared with yaw frame and roll frame. Aiming at this issue, through defining the disturbance only related to states of pitch frame itself as internal disturbance and the one also related to states of other frames as external disturbance, in view of theory and application, internal and external disturbances rejection control (IEDRC) was investigated for pitch frame. In the proposed control method, by means of backstepping, nonlinear disturbance observers (NDOs) were designed to handle internal disturbance from parametric uncertainties involving hydraulic flow, as well as friction torque and gravity torque when yaw frame is at zero position and load is replaced. Additionally, robust integral of the sign of the error (RISE) was assigned to suppress external disturbance composed of coupling torque, as well as the variations of inertia torque and gravity torque caused by position change of yaw frame. Here, RISE can assist NDO to overcome its limitation in dealing with the time-varying disturbance, and NDO can alleviate chattering risk resulted from the sign function in RISE. The two complement each other. As a result, via rejecting internal and external disturbances caused by hydraulic parameters, load replacement and simultaneous movement of three frames, IEDRC can not only guarantee an excellent control performance, but also avoid the huge workload spent on the acquisition of model parameters. Finally, comparative experiments including a few Cases were conducted, which demonstrates the overall performance of the developed control method.

在航空航天领域的硬件在环仿真中,水平液压飞行运动模拟器(HHFMS)是大功率和高动态情况下的首选。然而,由于建模存在多种不确定性,HHFMS 无法对飞机姿态进行精确仿真。特别是,由于受到严重而复杂的干扰,HHFMS 的俯仰帧与偏航帧和滚转帧相比更难实现高精度控制。针对这一问题,通过将仅与俯仰框架自身状态相关的扰动定义为内扰动,将与其他框架状态相关的扰动定义为外扰动,从理论和应用的角度,研究了俯仰框架的内外扰动抑制控制(IEDRC)。在所提出的控制方法中,通过反步法,设计了非线性扰动观测器(NDOs)来处理来自参数不确定性的内部扰动,包括液压流量,以及当偏航框架处于零位且负载被替换时的摩擦力矩和重力力矩。此外,还采用了鲁棒性误差符号积分(RISE)来抑制耦合力矩构成的外部干扰,以及偏航框架位置变化引起的惯性力矩和重力力矩的变化。在这里,RISE 可以帮助 NDO 克服其在处理时变扰动时的局限性,而 NDO 则可以减轻 RISE 中的符号函数所导致的颤振风险。两者相辅相成。因此,通过抑制液压参数、载荷替换和三个框架同时运动所引起的内部和外部干扰,IEDRC 不仅能保证出色的控制性能,还能避免在获取模型参数上所花费的巨大工作量。最后,通过几个案例的对比实验,证明了所开发控制方法的整体性能。
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