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Frequential lithium-ion battery impedance identification using automatic model selection and initialization 使用自动模型选择和初始化的高频锂离子电池阻抗识别
IF 10.7 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.101011
Omar Arahbi, Benoît Huard, Jean-Denis Gabano, Thierry Poinot
Electrochemical Impedance Spectroscopy (EIS) is a useful tool for selecting a pertinent Equivalent Circuit Model (ECM) of a Lithium-ion battery. Impedance model is designed to describe low, middle and high frequency electrochemical processes involved. When considering low frequency restricted in the Warburg zone, diffusion impedance is modeled thanks to a Constant Phase Element (CPE) which behaves as a fractional integrator of order n close to 0.5. Phenomena observed in middle frequency are described using specific circuits called Zarc which consist in connecting a CPE in parallel with a resistor. Therefore, the global impedance model is characterized by non integer order operators and parameters can be estimated by a Complex Nonlinear Least Squares (CNLS) algorithm which requires a proper initialization in order to guarantee the convergence to a global optimum. The paper presents a method to analyze EIS data measurements in order to select automatically the number of middle frequency Zarc circuits required (one or two) and to initialize properly the CNLS algorithm. The method is validated using simulation data as well as experimental open source EIS data.
电化学阻抗谱(EIS)是选择锂离子电池等效电路模型(ECM)的有效工具。设计阻抗模型来描述所涉及的低、中、高频电化学过程。当考虑限制在Warburg区域的低频时,扩散阻抗的建模得益于恒定相位元件(CPE),其表现为接近0.5阶的n阶分数积分器。在中频观察到的现象是用称为Zarc的特定电路来描述的,该电路包括将CPE与电阻并联连接。因此,全局阻抗模型具有非整数阶算子的特征,参数可由复杂非线性最小二乘(CNLS)算法估计,该算法需要适当的初始化以保证收敛到全局最优。本文提出了一种分析EIS数据测量的方法,以便自动选择所需的中频Zarc电路数量(一个或两个),并适当初始化CNLS算法。利用仿真数据和实验开源EIS数据对该方法进行了验证。
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引用次数: 0
Distributed design of ultra large-scale control systems: Progress, Challenges, and Prospects 超大规模控制系统的分布式设计:进展、挑战与展望
IF 7.3 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.100987
Leonardo Pedroso , Pedro Batista , W.P.M.H. (Maurice) Heemels
The transition from large centralized complex control systems to distributed configurations that rely on a network of a very large number of interconnected simpler subsystems is ongoing and inevitable in many applications. It is attributed to the quest for resilience, flexibility, and scalability in a multitude of engineering fields with far-reaching societal impact. Although many design methods for distributed and decentralized control systems are available, most of them rely on a centralized design procedure requiring some form of global information of the whole system. Clearly, beyond a certain scale of the network, these centralized design procedures for distributed controllers are no longer feasible and we refer to the corresponding systems as ultra large-scale systems (ULSS). For these ULSS, design algorithms are needed that are distributed themselves among the subsystems and are subject to stringent requirements regarding communication, computation, and memory usage of each subsystem. In this paper, a set of requirements is provided that assures a feasible real-time implementation of all phases of a control solution on an ultra large scale. State-of-the-art approaches are reviewed in the light of these requirements and the challenges hampering the development of befitting control algorithms are pinpointed. Comparing the challenges with the current progress leads to the identification and motivation of promising research directions.
在许多应用中,从大型集中式复杂控制系统到依赖于大量相互连接的简单子系统的网络的分布式配置的转变正在进行并且是不可避免的。这是由于对具有深远社会影响的众多工程领域的弹性,灵活性和可扩展性的追求。虽然有许多分布式和分散控制系统的设计方法,但大多数都依赖于需要整个系统的某种形式的全局信息的集中设计过程。显然,超过一定的网络规模,这些分布式控制器的集中设计程序就不再可行了,我们将相应的系统称为超大规模系统(ULSS)。对于这些ULSS,需要设计算法,这些算法本身分布在子系统之间,并且对每个子系统的通信、计算和内存使用都有严格的要求。在本文中,提供了一组要求,以确保在超大规模的控制解决方案的所有阶段都是可行的实时实现。根据这些要求,对最先进的方法进行了审查,并指出了阻碍适当控制算法发展的挑战。将挑战与当前的进展进行比较,可以识别和激励有前途的研究方向。
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引用次数: 0
Modeling of bio-heat transfers in lungs with fractional models 用分数模型模拟肺部的生物热传递
IF 10.7 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.101010
Enso Ndreko , Stéphane Victor , Jean-François Duhé , Pierre Melchior
In cardiac surgeries, when cardiopulmonary bypass (CPB) (or extracorporeal circulation (ECC)) is employed, the lungs are temporarily disconnected from the body. To minimize the risk of tissue damage or respiratory complications, the lungs are subjected to mild hypothermia. Incorporating dynamic heat transfer modeling offers the potential to enhance temperature regulation through a more advanced approach.
A complex thermal model, based on a thermal two-port network, offers a wide frequency range applicability, making it suitable for modeling the human breathing frequencies. This modeling approach can also be adapted to incorporate the influence of blood flow, which serves as a natural temperature regulator in the human body. This is accomplished by combining the thermal two-port network with the bio-heat equation.
The main contributions focus on introducing distinctive and simplified approximation models for the equivalent global impedance of thermal transfer within the lungs. These models, featuring minimal parameters, manifest comparable dynamic traits in the frequency domain, akin to the attributes of the two-port network model. This progress clears the way for broader utilization across various domains.
在心脏手术中,当采用体外循环(ECC)或体外循环(CPB)时,肺部暂时与身体断开。为了尽量减少组织损伤或呼吸系统并发症的风险,对肺部进行轻度低温治疗。结合动态传热模型提供了通过更先进的方法来提高温度调节的潜力。基于热双端口网络的复杂热模型提供了广泛的频率范围适用性,使其适合于模拟人类呼吸频率。这种建模方法也可以适应血液流动的影响,血液流动是人体的自然温度调节器。这是通过结合热双端口网络和生物热方程来实现的。主要的贡献集中在引入独特的和简化的近似模型的等效全球热传递在肺内的阻抗。这些模型具有最小的参数,在频域中表现出可比的动态特征,类似于双端口网络模型的属性。这一进展为在各个领域进行更广泛的利用扫清了道路。
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引用次数: 0
A review on VSC-HVDC control schemes VSC-HVDC 控制方案综述
IF 7.3 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.100988
Juan Ramón Camarillo-Peñaranda , Ana Carolina Cunha , Bruno W. França , Francis de Abreu Oliveira , Luan de Oliveira Senna
Designing a VSC-HVDC controller capable of effectively operating in most operational scenarios is challenging due to the highly complex dynamics, unexpected failures, and system uncertainty prevalent in a broad range of post-deployment situations. Furthermore, the stability of the closed-loop system stands as a crucial and undeniable aspect that necessitates special attention during the system development phase. From today’s point of view, this review provides a comprehensive overview of the literature on control technologies, their characteristics, and control options applicable to HVDC systems. This article discusses their applications, advantages, limitations, and recent developments within these techniques.
由于高度复杂的动态、意外故障以及在广泛的部署后情况下普遍存在的系统不确定性,设计能够在大多数操作场景中有效运行的vcs - hvdc控制器具有挑战性。此外,在系统开发阶段,闭环系统的稳定性是一个至关重要和不可否认的方面,需要特别注意。从今天的角度来看,这篇综述提供了一个关于控制技术的文献的全面概述,它们的特点,以及适用于高压直流系统的控制选项。本文讨论了它们的应用、优点、限制以及这些技术的最新发展。
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引用次数: 0
Implementation of deep reinforcement learning in permanent magnet synchronous motors control: A review 深度强化学习在永磁同步电机控制中的应用综述
IF 10.7 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.101014
Larbi Assem Moulai , Fardila M. Zaihidee , Saad Mekhilef , Jing Rui Tang , Marizan Mubin
Permanent Magnet Synchronous Motors (PMSMs) are recognized for high efficiency, torque-to-inertia ratio, and robust properties, making them ideal for the rapid development of electric vehicles, robotics, and the aerospace industry. Recently, Deep Reinforcement Learning (DRL) algorithms have gained significant attention in the control domain due to their independence from plant models and advanced decision-making capabilities. These features make DRL highly suitable for addressing challenges in PMSM control such as load disturbances, speed tracking, and parameter variations. This review explores recent DRL techniques applied to PMSM speed, current, and torque control. Discrete and continuous algorithms, including Deep Q-Network (DQN), Deep Deterministic Policy Gradient (DDPG), and Twin Delayed DDPG (TD3), are examined in terms of their basic principles, practical implementations, and the benefits they provide in overcoming challenges in PMSM control. In addition, to demonstrate the efficiency of DRL, the review provides a summary and comparison of DRL applied to optimize classical control methods elaborated within various PMSM control strategies. Comparisons of DRL implementations in PMSM control are highlighted to validate their real-time applicability in experiments, and potential areas for future research and improvement are outlined.
永磁同步电机(pmms)以高效率、转惯量比和坚固的性能而闻名,使其成为电动汽车、机器人和航空航天工业快速发展的理想选择。近年来,深度强化学习(DRL)算法因其独立于植物模型和先进的决策能力而在控制领域受到了广泛关注。这些特性使得DRL非常适合解决PMSM控制中的挑战,如负载干扰、速度跟踪和参数变化。本文综述了最近应用于永磁同步电机速度、电流和转矩控制的DRL技术。本文对离散和连续算法,包括深度q -网络(DQN)、深度确定性策略梯度(DDPG)和双延迟DDPG (TD3)的基本原理、实际实现以及它们在克服永磁同步电机控制挑战方面提供的好处进行了研究。此外,为了证明DRL的有效性,本文总结和比较了DRL在各种永磁同步电机控制策略中用于优化经典控制方法的应用。重点比较了DRL在PMSM控制中的实现,验证了它们在实验中的实时性,并概述了未来可能的研究和改进领域。
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引用次数: 0
Funnel control — A survey 漏斗控制——一项调查
IF 10.7 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.101024
Thomas Berger , Achim Ilchmann , Eugene P. Ryan
The methodology of funnel control was introduced in the early 2000s, and it has developed since then in many respects achieving a level of mathematical maturity balanced by practical applications. Its fundamental tenet is the attainment of prescribed transient and asymptotic behaviour for continuous-time controlled dynamical processes encompassing linear and nonlinear systems described by functional differential equations, differential–algebraic systems, and partial differential equations. Considered are classes of systems specified only by structural properties – such as relative degree and stable internal dynamics. Prespecified are: a funnel shaped through the choice of a function (absolutely continuous), freely selected by the designer, and a class of (sufficiently smooth) reference signals. The aim is to design a single ‘simple’ feedback strategy (using only input and output information) – called the funnel controller – which, applied to any system of the given class and for any reference signal of the given class, achieves the funnel control objective: that is, the closed-loop system is well-posed in the sense that all signals (both internal and external) are bounded and globally defined, and – most importantly – the error between the system’s output and the reference signal evolves within the prespecified funnel.
The survey is organized as follows. In the Introduction, the genesis of funnel control is outlined via the most simple class of systems: the linear prototype of scalar, single-input, single-output systems. Generalizing the prototype, there follows an exposition of diverse system classes (described by linear, nonlinear, functional, partial differential equations, and differential–algebraic equations) for which funnel control is feasible. The structure and properties of funnel control – in its various guises attuned to available output information – are described and analysed. Up to this point, the treatment is predicated on an implicit assumption that system inputs are unconstrained. Ramifications of input constraints and their incorporation in the funnel methodology are then discussed. Finally, practical applications and implementations of funnel control are highlighted.
漏斗控制方法是在21世纪初引入的,从那时起,它在许多方面得到了发展,在实际应用中达到了数学成熟度的平衡水平。它的基本宗旨是实现规定的瞬态和渐近行为的连续时间控制的动态过程,包括线性和非线性系统描述的泛函微分方程,微分代数系统,和偏微分方程。考虑的是仅由结构特性指定的系统类别-例如相对程度和稳定的内部动力学。预先指定的是:通过选择函数(绝对连续)形成的漏斗,由设计师自由选择,以及一类(足够光滑的)参考信号。目的是设计一个单一的“简单”反馈策略(只使用输入和输出信息)-称为漏斗控制器-它适用于给定类的任何系统和给定类的任何参考信号,实现漏斗控制目标:也就是说,闭环系统在某种意义上是良好的,因为所有信号(内部和外部)都是有界的和全局定义的,最重要的是,系统输出和参考信号之间的误差在预先指定的漏斗内演变。调查安排如下:在引言中,漏斗控制的起源是通过最简单的一类系统来概述的:标量、单输入、单输出系统的线性原型。对原型进行了推广,随后阐述了各种系统类(由线性、非线性、泛函、偏微分方程和微分代数方程描述),其中漏斗控制是可行的。描述和分析了漏斗控制的结构和特性——根据可用的输出信息调整的各种形式。到目前为止,处理是基于一个隐含的假设,即系统输入是不受约束的。然后讨论了输入约束的后果及其在漏斗方法中的结合。最后,重点介绍了漏斗控制的实际应用和实现。
{"title":"Funnel control — A survey","authors":"Thomas Berger ,&nbsp;Achim Ilchmann ,&nbsp;Eugene P. Ryan","doi":"10.1016/j.arcontrol.2025.101024","DOIUrl":"10.1016/j.arcontrol.2025.101024","url":null,"abstract":"<div><div>The methodology of funnel control was introduced in the early 2000s, and it has developed since then in many respects achieving a level of mathematical maturity balanced by practical applications. Its fundamental tenet is the attainment of prescribed transient and asymptotic behaviour for continuous-time controlled dynamical processes encompassing linear and nonlinear systems described by functional differential equations, differential–algebraic systems, and partial differential equations. Considered are classes of systems specified only by structural properties – such as relative degree and stable internal dynamics. Prespecified are: a funnel shaped through the choice of a function (absolutely continuous), freely selected by the designer, and a class of (sufficiently smooth) reference signals. The aim is to design a single ‘simple’ feedback strategy (using only input and output information) – called the <em>funnel controller</em> – which, applied to any system of the given class and for any reference signal of the given class, achieves the <em>funnel control objective</em>: that is, the closed-loop system is well-posed in the sense that all signals (both internal and external) are bounded and globally defined, and – most importantly – the error between the system’s output and the reference signal evolves within the prespecified funnel.</div><div>The survey is organized as follows. In the Introduction, the genesis of funnel control is outlined via the most simple class of systems: the linear prototype of scalar, single-input, single-output systems. Generalizing the prototype, there follows an exposition of diverse system classes (described by linear, nonlinear, functional, partial differential equations, and differential–algebraic equations) for which funnel control is feasible. The structure and properties of funnel control – in its various guises attuned to available output information – are described and analysed. Up to this point, the treatment is predicated on an implicit assumption that system inputs are unconstrained. Ramifications of input constraints and their incorporation in the funnel methodology are then discussed. Finally, practical applications and implementations of funnel control are highlighted.</div></div>","PeriodicalId":50750,"journal":{"name":"Annual Reviews in Control","volume":"60 ","pages":"Article 101024"},"PeriodicalIF":10.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A systems perspective on promoting sustainable food systems 促进可持续粮食系统的系统视角
IF 10.7 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.101020
Angela Fontan , Patricia Eustachio Colombo , Rosemary Green , Karl H. Johansson
Global food systems are at the center of some of the most pressing modern societal challenges: They are significant contributors to a range of systemic issues, including health problems and chronic diseases, greenhouse gas emissions and general environmental degradation, and increasing financial burdens on healthcare and economies. Within these complex systems, final sustainable consumption, which refers to the adoption of diets that are both healthy and environmentally friendly, plays a critical role. Significant changes in contemporary dietary patterns are essential to address the rising burden of chronic diseases and public health outcomes and the escalating climate crisis. Achieving these shifts requires coordinated action from policymakers, consumers, and the scientific community in an effort to support the development, implementation, and evaluation of advertising and policy instruments that promote healthier and more sustainable dietary choices. However, driving changes in dietary behavior is a complex challenge, shaped by the interplay of heterogeneous influences, including biological, social, cultural, environmental, political, and economic factors, and further complicated by the difficulty of validating proposed approaches in ways that are both efficient and ethically sound. This vision paper presents the problem of promoting healthy and environmentally friendly diets and their implications for environmental sustainability. In particular, it discusses a systems approach based on social network dynamics and social interventions, illustrating recent findings that demonstrate the potential of influence strategies to drive dietary change. Finally, key scientific challenges and emerging research opportunities are highlighted.
全球粮食系统处于一些最紧迫的现代社会挑战的中心:它们是一系列系统性问题的重要贡献者,包括健康问题和慢性病、温室气体排放和一般环境退化,以及医疗保健和经济日益沉重的财政负担。在这些复杂的系统中,最终可持续消费,即采用既健康又环保的饮食,起着关键作用。当代饮食模式的重大改变对于解决慢性病和公共卫生后果日益加重的负担以及不断升级的气候危机至关重要。实现这些转变需要决策者、消费者和科学界的协调行动,努力支持广告和政策工具的制定、实施和评估,以促进更健康和更可持续的饮食选择。然而,推动饮食行为的改变是一项复杂的挑战,受到各种异质影响的相互作用,包括生物、社会、文化、环境、政治和经济因素,而以既有效又合乎道德的方式验证所提出的方法的难度进一步复杂化。本远景文件提出了促进健康和环境友好型饮食的问题及其对环境可持续性的影响。特别地,它讨论了一种基于社会网络动态和社会干预的系统方法,说明了最近的发现,证明了影响策略在推动饮食变化方面的潜力。最后,强调了关键的科学挑战和新兴的研究机会。
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引用次数: 0
A general framework for verification and control of dynamical models via certificate synthesis 一个通过证书合成来验证和控制动态模型的通用框架
IF 10.7 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.101028
Alec Edwards , Andrea Peruffo , Alessandro Abate
An emerging branch of control theory specialises in certificate learning, concerning the specification of a desired (possibly complex) system behaviour for an autonomous or control model, which is then analytically verified by means of a function-based proof. However, the synthesis of controllers abiding by these complex requirements is in general a non-trivial task and may elude the most expert control engineers. This results in a need for automatic techniques that are able to design controllers and to analyse a wide range of elaborate specifications. In this paper, we provide a general framework to encode system specifications and define corresponding certificates, and we present an automated approach to formally synthesise controllers and certificates. Our approach contributes to the broad field of safe learning for control, exploiting the flexibility of neural networks to provide candidate control and certificate functions, whilst using SAT-modulo-theory (SMT)-solvers to offer a formal guarantee of correctness. We test our framework by developing a prototype software tool, and assess its efficacy at verification via control and certificate synthesis over a large and varied suite of benchmarks.
控制理论的一个新兴分支专注于证书学习,涉及自治或控制模型所需(可能复杂的)系统行为的规范,然后通过基于功能的证明进行分析验证。然而,符合这些复杂要求的控制器的合成通常是一项不平凡的任务,可能会避开最专业的控制工程师。这导致需要能够设计控制器和分析各种详细规格的自动技术。在本文中,我们提供了一个通用的框架来编码系统规范和定义相应的证书,我们提出了一种自动化的方法来形式化地综合控制器和证书。我们的方法有助于控制安全学习的广泛领域,利用神经网络的灵活性来提供候选控制和证书功能,同时使用sat -模理论(SMT)求解器来提供正确性的正式保证。我们通过开发一个原型软件工具来测试我们的框架,并通过对大量不同基准的控制和证书合成来评估其有效性。
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引用次数: 0
From road congestion to vehicle-control enabled artificial traffic fluids 从道路拥堵到车辆控制,人工交通流体
IF 7.3 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.100989
Iasson Karafyllis , Dionysios Theodosis , Markos Papageorgiou , Miroslav Krstic
This article provides an overview of the design of purely reactive nonlinear feedback two-dimensional Cruise Controllers (CCs) for CAVs relying on two combined principles: (a) Lane-free traffic, whereby vehicles are not bound to fixed traffic lanes; and (b) Vehicle nudging, whereby vehicles influence other vehicles in front or on the sides of them. The design of the two-dimensional CCs is based on a control Lyapunov methodology, with the considered system being subject to various state constraints, and guarantees a number of desired features, including collision avoidance and road boundary respect. Additionally, the emerging macroscopic traffic flow models are derived, and direct relations are established between selectable CC features and the resulting macroscopic traffic flow characteristics. This allows the active design of efficient traffic flow with desired properties, i.e., the construction of artificial traffic fluids.
本文概述了基于两个组合原则的纯响应式非线性反馈二维巡航控制器(CCs)的设计:(a)无车道交通,即车辆不受固定车道的约束;及(b)车辆轻推,即车辆影响其前方或两侧的其他车辆。二维cc的设计基于李雅普诺夫控制方法,所考虑的系统受到各种状态约束,并保证许多所需的特征,包括避免碰撞和道路边界尊重。此外,推导了新兴的宏观交通流模型,并建立了可选择CC特征与宏观交通流特征之间的直接关系。这允许主动设计具有所需特性的高效交通流,即人工交通流体的构建。
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引用次数: 0
Hierarchical generalized extended parameter identification for multivariable equation-error ARMA-like systems by using the filtering identification idea 基于滤波辨识思想的多变量方程误差类arma系统的层次广义扩展参数辨识
IF 7.3 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-01-01 DOI: 10.1016/j.arcontrol.2025.100993
Feng Ding , Ling Xu , Xiao Zhang , Huan Xu , Yihong Zhou , Xiaoli Luan
The filtering identification idea is an effective tool for handling the parameter identification of systems with colored noise. The hierarchical identification principle is an effective approach for addressing the identification of complex systems. For multivariable equation-error autoregressive moving-average-like (M-EEARMA-like) models with colored noise, which are also called multivariable controlled autoregressive autoregressive moving-average-like (M-CARARMA-like) models, this paper investigates and proposes the filtered hierarchical generalized extended stochastic gradient identification method, the filtered hierarchical multi-innovation generalized extended stochastic gradient identification method, the filtered hierarchical generalized extended recursive gradient identification method, the filtered hierarchical multi-innovation generalized extended recursive gradient identification method, the filtered hierarchical generalized extended least squares identification method, and the filtered hierarchical multi-innovation generalized extended least squares identification method by using the filtering identification idea and the hierarchical identification principle from available input–output data. These filtered hierarchical generalized extended identification methods can be extended to other linear and nonlinear multivariable stochastic systems with colored noise.
滤波辨识思想是处理有色噪声系统参数辨识的有效工具。层次辨识原理是解决复杂系统辨识问题的有效方法。针对带有色噪声的多变量方程误差自回归类移动平均(M-EEARMA-like)模型,又称多变量控制自回归类移动平均(M-CARARMA-like)模型,研究并提出了滤波分层广义扩展随机梯度辨识方法、滤波分层多创新广义扩展随机梯度辨识方法、滤波层次广义扩展递推梯度辨识方法、滤波层次多创新广义扩展递推梯度辨识方法、滤波层次广义扩展最小二乘辨识方法;利用滤波辨识思想和层次辨识原理,从可用的输入输出数据中得到滤波层次多创新广义扩展最小二乘辨识方法。这些滤波后的层次广义扩展辨识方法可以推广到其他具有有色噪声的线性和非线性多变量随机系统。
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引用次数: 0
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