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Adaptive neural dynamic surface control of load/grid connected voltage source inverters with LC/LCL filters 带LC/LCL滤波器的负载/并网电压源逆变器自适应神经动态面控制
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-22 DOI: 10.1016/j.ifacsc.2023.100230
Sajjad Shoja-Majidabad , Majid Moradi Zirkohi

Utilizing passive filters such as L, LC and LCL is preferred to cancel out high-frequency harmonics caused by pulse width modulation of voltage source inverters. However, the LC and LCL filters have shown better harmonic attenuation than the conventional L filter. Nevertheless, the control process of LC and LCL filters is more complicated due to their higher-order dynamics. The problem gets more challenging in the presence of uncertainties such as load and grid impedance variations. To overcome these challenges, two novel adaptive neural dynamic surface controllers are proposed for LC and LCL filters in the load and grid-connected modes, respectively. Meanwhile, the issue of computational complexity inherent in the conventional backstepping method is avoided here by utilizing the dynamic surface control technique. Furthermore, the matched and unmatched uncertainties of LC/LCL filters are approximated via multi-input multi-output radial basis function neural networks. Stability of the closed-loop systems is guaranteed by converging the tracking errors to a small neighborhood of the origin. Simulations are given to illustrate the effectiveness and potential of the proposed adaptive neural dynamic surface control methods under the load and grid impedance changes.

优选使用L、LC和LCL等无源滤波器来消除由电压源逆变器的脉宽调制引起的高频谐波。然而,LC和LCL滤波器已经显示出比传统L滤波器更好的谐波衰减。然而,LC和LCL滤波器的控制过程由于其高阶动力学而更加复杂。在负载和电网阻抗变化等不确定性的情况下,这个问题变得更具挑战性。为了克服这些挑战,分别为负载和并网模式下的LC和LCL滤波器提出了两种新的自适应神经动态表面控制器。同时,利用动态曲面控制技术避免了传统反步方法固有的计算复杂性问题。此外,通过多输入多输出径向基函数神经网络对LC/LCL滤波器的匹配和不匹配不确定性进行了近似。通过将跟踪误差收敛到原点的一个小邻域来保证闭环系统的稳定性。仿真结果表明了所提出的自适应神经动态表面控制方法在负载和电网阻抗变化下的有效性和潜力。
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引用次数: 0
Multi-objective control and optimization of a stand-alone photovoltaic power conversion system with battery storage energy management 具有蓄电池储能管理的单机光伏发电系统多目标控制与优化
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-07 DOI: 10.1016/j.ifacsc.2023.100227
Ghizlane Traiki, Abdelmounime El Magri, Rachid Lajouad, Omar Bouattane

This paper addresses the problem of controlling a stand-alone photovoltaic (PV) energy conversion system integrated with a battery energy storage system. The study focuses on a series association of PV panels, a DC/AC converter, a Li-ion battery, and a DC load. The intermittent nature of PV power and frequent variations in load demand decrease battery lifetime and its charging performance. To mitigate these issues, an efficient battery charge controller is proposed to instantaneously balance the PV power flow delivered to the DC load and the battery, ensuring optimal utilization of PV power and appropriate battery charging. Based on available solar power, battery state of charge (SOC), and DC load demand The controller adapts to three charging modes, namely, maximum power point tracking (MPPT) charging mode, constant current (CC) charging mode, and constant voltage (CV) charging mode. Additionally, a novel energy management algorithm is designed to ensure battery safety and determine the system’s mode of operation, considering weather conditions and load demand variations. Interestingly, no solar irradiation or battery SOC sensors are required for the implementation of the control system. Nonlinear and robust controllers are developed to provide the necessary control input laws for the management algorithm. The robustness and stability of the system are verified using the Lyapunov theory. Furthermore, the paper quantifies the performance of the proposed strategy through a comparative analysis using integral of absolute error (IAE) indices against two conventional control approaches. Simulation results validate the effectiveness of the proposed controller strategy, demonstrating its high performance and ability to meet the specified objectives. This work presents an innovative approach to enhance the efficiency and reliability of stand-alone PV energy conversion systems with battery storage, offering promising prospects for sustainable energy applications.

本文研究了集成电池储能系统的独立光伏(PV)能量转换系统的控制问题。该研究的重点是光伏板、DC/AC转换器、锂离子电池和直流负载的一系列关联。光伏发电的间歇性和负载需求的频繁变化降低了电池的使用寿命和充电性能。为了解决这些问题,本文提出了一种高效的电池充电控制器,以即时平衡输送到直流负载和电池的光伏功率流,确保光伏功率的最佳利用和适当的电池充电。根据太阳能可用电量、电池荷电状态(SOC)和直流负载需求,控制器可适应三种充电模式,即最大功率点跟踪(MPPT)充电模式、恒流(CC)充电模式和恒压(CV)充电模式。此外,设计了一种新的能量管理算法,以确保电池安全,并确定系统的运行模式,考虑天气条件和负载需求变化。有趣的是,控制系统的实施不需要太阳辐射或电池SOC传感器。设计了非线性鲁棒控制器,为管理算法提供必要的控制输入规律。利用李亚普诺夫理论验证了系统的鲁棒性和稳定性。此外,本文通过使用绝对误差积分(IAE)指标与两种传统控制方法的比较分析来量化所提出策略的性能。仿真结果验证了所提控制器策略的有效性,证明了其高性能和满足指定目标的能力。这项工作提出了一种创新的方法来提高具有电池存储的独立光伏能源转换系统的效率和可靠性,为可持续能源应用提供了广阔的前景。
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引用次数: 1
Trajectory control of a hydraulic system using intelligent control approach based on adaptive prediction model 基于自适应预测模型的液压系统轨迹智能控制方法
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-07 DOI: 10.1016/j.ifacsc.2023.100228
Dao Thanh Liem

Electro-hydraulic actuators (EHAs) have become a preferred alternative to traditional hydraulic actuators with valve control systems due to their numerous advantages, making them an ideal choice for applications requiring high-precision force or position control. However, the highly complex nonlinear nature of EHAs makes modelling and controlling them a challenging task. To address this challenge, a new position control approach has been proposed for an EHA system using a combination of a feedforward online-tuning PID (FOPID) controller and an adaptive grey predictor (AGP), known as the feedforward online-tuning adaptive grey predictor (FOAGP). The FOPID controller is constructed based on PID controller and fuzzy logic algorithm to control the EHA system towards referred trajectory, while an updating rule that consists of robust checking terms optimizes its parameters online to minimize control error. The AGP predictor is an important aspect of the proposed approach. It consists of a self-tuning step size mechanism, which estimates the performance of the plant to tune the parameters of the controller and create an additive control signal that is used to counteract environment noises and perturbations. This approach significantly improves control performance by reducing the effect of disturbances and sensor noises on the system. The FOAGP approach was tested in simulation to investigate its effectiveness. The results showed that the proposed approach outperformed other existing control methods, with a higher accuracy and better control performance. One of the significant advantages of the FOAGP approach is its ability to learn and adapt to changing system dynamics. The learning mechanism used in the FOPID controller allows the system to optimize its parameters online, which is especially useful in systems with varying operating conditions. The AGP predictor also continuously adjusts its parameters to accurately estimate the system output, making it an effective tool for controlling EHAs. The proposed approach offers a significant improvement in control performance, making it a better alternative to traditional control methods. This approach can be applied to various EHA systems, including those used in aerospace, automobile, and robotic applications, among others.

电液执行器(EHAs)由于其众多优点,已成为传统液压执行器与阀门控制系统的首选替代品,使其成为需要高精度力或位置控制的应用的理想选择。然而,eha高度复杂的非线性特性使其建模和控制成为一项具有挑战性的任务。为了解决这一挑战,提出了一种新的EHA系统位置控制方法,该方法使用前馈在线调谐PID (FOPID)控制器和自适应灰色预测器(AGP)的组合,称为前馈在线调谐自适应灰色预测器(FOAGP)。在PID控制器和模糊逻辑算法的基础上构建FOPID控制器,控制EHA系统向参考轨迹移动,同时采用由鲁棒校验项组成的更新规则对其参数进行在线优化,使控制误差最小化。AGP预测器是该方法的一个重要方面。它由一个自调整步长机制组成,该机制估计对象的性能以调整控制器的参数并创建用于抵消环境噪声和扰动的加性控制信号。该方法通过减少干扰和传感器噪声对系统的影响,显著提高了控制性能。仿真验证了FOAGP方法的有效性。结果表明,该方法优于现有的控制方法,具有更高的精度和更好的控制性能。FOAGP方法的一个显著优点是它能够学习和适应不断变化的系统动力学。在FOPID控制器中使用的学习机制允许系统在线优化其参数,这在具有不同运行条件的系统中特别有用。AGP预测器还可以不断调整其参数以准确估计系统输出,使其成为控制eha的有效工具。该方法显著提高了控制性能,是传统控制方法的更好替代方案。这种方法可以应用于各种EHA系统,包括用于航空航天、汽车和机器人等应用的系统。
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引用次数: 1
Model-based versus model-free feeding control and water-quality monitoring for fish-growth tracking in aquaculture systems 水产养殖系统中基于模型与无模型的鱼类生长跟踪饲养控制和水质监测
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-03 DOI: 10.1016/j.ifacsc.2023.100226
Fahad Aljehani , Ibrahima N’Doye , Taous-Meriem Laleg-Kirati

This paper proposes model-based and model-free control approaches to monitor the feeding rate and water quality for fish-growth tracking in aquaculture systems. The representative fish-growth model is revisited, which describes the total biomass change by incorporating the fish population density and mortality. Due to the challenging task of measuring the total fish biomass and population data, the new dynamic population model is validated with individual fish-growth data for tracking control. Ammonia exposure is a significant challenge in the fish-population growth tracking problem, affecting fish health and survival. To address this challenge, traditional and optimal controllers are first designed to track the weight reference within suboptimal temperature and dissolved oxygen (DO) profiles under various un-ionized ammonia (UIA) exposure levels by manipulating relative feeding. Then, a Q-learning approach is proposed to learn an optimal feeding-control policy from simulated data on fish-growth weight trajectories while managing ammonia effects. The proposed Q-learning feeding control prevents fish mortality and achieves good tracking errors for fish weight under UIA levels. However, it maintains a relative food consumption that potentially underfeeds fish. Finally, an optimal predictive algorithm that includes the temperature, DO, and UIA is proposed to optimize the feeding and water quality of the dynamic fish-population growth process, indicating that fish mortality is decreased and food consumption is reduced in all cases of UIA exposure.

本文提出了基于模型和无模型的控制方法来监测水产养殖系统中鱼类生长跟踪的喂养率和水质。重新审视了具有代表性的鱼类生长模型,该模型通过结合鱼类种群密度和死亡率来描述总生物量的变化。由于测量鱼类总生物量和种群数据的任务具有挑战性,新的动态种群模型用个体鱼类生长数据进行了验证,用于跟踪控制。氨暴露是鱼类种群增长跟踪问题中的一个重大挑战,影响鱼类的健康和生存。为了应对这一挑战,首先设计了传统和最佳控制器,通过操纵相对进料,在各种非电离氨(UIA)暴露水平下,在次优温度和溶解氧(DO)分布范围内跟踪重量参考。然后,提出了一种Q学习方法,在管理氨效应的同时,从鱼类生长重量轨迹的模拟数据中学习最优喂养控制策略。所提出的Q学习喂养控制可以防止鱼类死亡,并在UIA水平下实现良好的鱼类体重跟踪误差。然而,它保持着相对的食物消耗,这可能会使鱼类吃不饱。最后,提出了一种包括温度、DO和UIA的最优预测算法,以优化鱼类种群动态增长过程的喂养和水质,表明在所有暴露于UIA的情况下,鱼类死亡率都降低了,食物消耗量也减少了。
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引用次数: 0
Investigation on the stability of networked-control integrated energy systems for frequency regulations 频率调节下的网控综合能源系统稳定性研究
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-01 DOI: 10.1016/j.ifacsc.2023.100219
Manikandan S.

This paper presents the stability analysis of integrated energy systems under network environment. The networked-control integrated energy systems involve time-delay in the control loop. These time-delays are time-invariant or time-varying in nature. Further, it affects the stability and dynamic performance of the integrated energy systems. In this paper stability analysis of networked-control integrated energy systems are done using Lyapunov–Krasovskii functional and linear matrix inequality techniques. The maximum amount of time-delay that establishes the stability of the integrated energy systems is determined and controller is designed with concern to the time-delay. The effect of electric vehicles and battery energy storage system in stability delay margins of integrated energy systems is also addressed and the numerical simulations are done to verify the effectiveness of the presented results.

本文研究了网络环境下综合能源系统的稳定性分析。网络控制综合能源系统在控制回路中存在时滞问题。这些时滞本质上是时不变的或时变的。进而影响综合能源系统的稳定性和动态性能。本文利用Lyapunov-Krasovskii泛函和线性矩阵不等式技术对网络控制综合能源系统的稳定性进行了分析。确定了建立综合能量系统稳定性的最大时滞量,并根据时滞设计了控制器。研究了电动汽车和蓄电池储能系统对综合能源系统稳定延迟裕度的影响,并通过数值仿真验证了所得结果的有效性。
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引用次数: 0
Discrete-time prediction based event-triggered controller design: An application to networked multi-area power system with time delays 基于离散时间预测的事件触发控制器设计:在具有时滞的网络化多区域电力系统中的应用
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-01 DOI: 10.1016/j.ifacsc.2023.100220
Sumant Anand , Manjeet Kumar , Sanjeev Kumar , Arkdev

This work proposes a solution for power system stability by utilizing prediction-based event-triggered control (ETC) in the discrete-time domain. The proposed control method can handle a large sampling period, and the event-triggered mechanism (ETM) is applied in both controller and actuator loops to reduce the network’s computational and communication burden. Input and output (I/O) quantizers are used to avoid the quantization error that arises due to sampling and are also included in the stability analysis. The proposed control strategy is evaluated under various load scenarios using three-area interconnected power systems. The results demonstrate that the proposed approach saves 25.5%, 22%, and 23.5% of channel bandwidth in each area, as compared to the conventional time-triggered control approach. A comparative study shows that the proposed work outperforms recently reported works in terms of better event triggering number, average inter-event time, and performance indices. The effectiveness of the proposed control schemes is further validated by considering uncertainty in system parameters and typical power system nonlinearities. The study also illustrates the integration of renewable energy resources (RERs) and electric vehicles (EVs). The closed-loop system stability is proved theoretically using uniform ultimate boundedness and validated through simulations in MATLAB R2018a.

本文提出了一种在离散时间域中利用基于预测的事件触发控制(ETC)来解决电力系统稳定性问题的方法。所提出的控制方法可以处理大采样周期,并且在控制器和执行器回路中都采用了事件触发机制(ETM),以减少网络的计算和通信负担。输入和输出(I/O)量化器用于避免由于采样而产生的量化误差,并且也包含在稳定性分析中。利用三区互联电力系统,对所提出的控制策略在不同负荷情况下进行了评估。结果表明,与传统的时间触发控制方法相比,该方法在每个区域分别节省了25.5%、22%和23.5%的信道带宽。一项比较研究表明,本文在事件触发次数、平均事件间时间和性能指标方面优于近期报道的作品。通过考虑系统参数的不确定性和典型的电力系统非线性,进一步验证了所提控制方案的有效性。该研究还说明了可再生能源(res)和电动汽车(ev)的整合。利用均匀极限有界性理论证明了闭环系统的稳定性,并在MATLAB R2018a中进行了仿真验证。
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引用次数: 0
A nonlinear optimal control approach for autonomous reentry space vehicles 自主再入飞行器的非线性最优控制方法
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-01 DOI: 10.1016/j.ifacsc.2023.100225
G. Rigatos , M. Abbaszadeh , J. Pomares , K. Busawon

Nonlinear control for autonomous reentry space vehicles has been a topic of intensive research during the last years in the area of aerospace science and technology. The associated dynamic model is obtained by expressing position variables and orientation angles of the space vehicle in different coordinate frames, namely an earth-fixed, an earth rotating and a body fixed frame. In this article, a nonlinear optimal control approach is proposed for the dynamic model of reentry space vehicles. It is proven that the longitudinal motion dynamic model of reentry space vehicles is differentially flat and a flatness-based controller is designed about it. Next, in the nonlinear optimal control approach, the dynamic model of the reentry space vehicle undergoes approximate linearization around a temporary operating point that is recomputed at each time-step of the control method. The linearization relies on Taylor series expansion and on the associated Jacobian matrices. For the linearized state-space model of the reentry space vehicle a stabilizing optimal (H-infinity) feedback controller is designed. This controller stands for the solution to the nonlinear optimal control problem under model uncertainty and external perturbations. To compute the controller’s feedback gains an algebraic Riccati equation is repetitively solved at each iteration of the control algorithm. The stability properties of the control method are proven through Lyapunov analysis. The proposed nonlinear optimal control approach achieves fast and accurate tracking of reference setpoints under moderate variations of the control inputs and a minimum dispersion of energy.

自主再入空间飞行器的非线性控制是近年来航天科学技术领域研究的一个热点问题。通过表达空间飞行器在不同坐标系下的位置变量和方向角,即地球固定坐标系、地球旋转坐标系和物体固定坐标系,得到相应的动力学模型。针对再入空间飞行器的动力学模型,提出了一种非线性最优控制方法。证明了再入飞行器的纵向运动动力学模型是差分平面的,并针对其设计了基于平面度的控制器。其次,在非线性最优控制方法中,再入空间飞行器的动力学模型围绕一个临时工作点进行近似线性化,在控制方法的每个时间步长重新计算该临时工作点。线性化依赖于泰勒级数展开和相关的雅可比矩阵。针对再入飞行器的线性化状态空间模型,设计了稳定最优(h∞)反馈控制器。该控制器代表了模型不确定性和外部扰动下非线性最优控制问题的解。为了计算控制器的反馈增益,在控制算法的每次迭代中重复求解一个代数Riccati方程。通过李雅普诺夫分析证明了该控制方法的稳定性。所提出的非线性最优控制方法在控制输入变化适中和能量分散最小的情况下,实现了对参考设定值的快速准确跟踪。
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引用次数: 0
Parametric identification of flat stochastic systems for effective connectivity characterization 平面随机系统参数辨识的有效连通性表征
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-01 DOI: 10.1016/j.ifacsc.2023.100223
Hana Baili

Some of the mechanisms that generate neuronal signals are known at the cellular level and rest on a balance of excitatory and inhibitory interactions within and between populations of neurons. Neural mass models assume that a neuronal population can be approximated using very few state variables, generally limited to mean membrane currents, potentials, and firing rates. This article deals with nonlinear parametric identification problems in neurophysiologically based models simulating brain effective connectivity. We propose a novel approach which utilizes optimal control theory for partially flat stochastic differential systems. The optimization-based approach to effective connectivity characterization has been tested through simulation experiments and compared with the extended and unscented Kalman filters. A variety of case studies have been successfully used for connectivity parameter identification: constant functions, step functions, periodic functions and random functions.

产生神经元信号的一些机制在细胞水平上是已知的,并且依赖于神经元群体内部和群体之间兴奋性和抑制性相互作用的平衡。神经质量模型假设神经元群可以用很少的状态变量来近似,通常限于平均膜电流、电位和放电率。本文研究了基于神经生理学的模拟大脑有效连接模型中的非线性参数辨识问题。针对部分平坦型随机微分系统,提出了一种利用最优控制理论的新方法。通过仿真实验验证了基于优化的有效连通性表征方法,并与扩展卡尔曼滤波器和无气味卡尔曼滤波器进行了比较。各种案例研究已经成功地用于连通性参数识别:常数函数,阶跃函数,周期函数和随机函数。
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引用次数: 0
Stratonovich framework into Markovian satellite dynamics of Carleman-based filtering using energy function observables approach 利用能量函数观测值方法将Stratonovich框架转化为基于carleman滤波的马尔可夫卫星动力学
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-01 DOI: 10.1016/j.ifacsc.2023.100224
Ravish H. Hirpara , Prashant G. Medewar

In this paper the satellite system in which fluctuating aerodynamic torque and the radial perturbation about the pitch motion of orbit is analyzed. The objectives of the paper are three-fold. The first objective is the ‘Carleman linearization representation into the nonlinear stochastic evolution of the Markov process’. The second is to filter process and measurement noises in the satellite dynamics parameters in the Carleman setting. The third is to find the stability and convergence condition of satellite dynamics. The first is achieved by unifying the generating function, Carleman embedding, Itô stochastic differential rules and the finite closure with Kronecker algebra. Concerning the second objective, we recast the finite-dimensional Stochastic Differential Equations (SDE) of the satellite dynamics into a finite system of bilinear SDE via the Carleman embedding. The third objective is to achieve the Lyapunov function and asymptotic stability condition for the satellite stochastic dynamics involving the ‘Stratonovich differential’. In this paper, we demonstrate the utility of the satellite dynamics filtering in the Carleman-based filtering via ‘its convergence analysis as well as its superiority with available methods’, i.e., the benchmark extended Kalman filter, Gaussian second-order filter and Kushner–Stratonovich higher-order filter. From simulation performed it can be said that the Carleman-based filtering is superior than other benchmark filters in terms of their Absolute Filtering Error (AFE) of conditional means and conditional variances of the satellite dynamics states.

本文分析了脉动气动力矩和轨道俯仰运动的径向摄动对卫星系统的影响。本文的目标有三个方面。第一个目标是“将卡尔曼线性化表示转化为马尔可夫过程的非线性随机演化”。二是在Carleman设定下对卫星动力学参数中的过程噪声和测量噪声进行滤波。三是找出卫星动力学的稳定性和收敛条件。第一个是通过统一生成函数、Carleman嵌入、Itô随机微分规则和Kronecker代数的有限闭包来实现的。关于第二个目标,我们通过Carleman嵌入将卫星动力学的有限维随机微分方程(SDE)重化为双线性随机微分方程的有限系统。第三个目标是获得涉及“Stratonovich微分”的卫星随机动力学的Lyapunov函数和渐近稳定条件。在本文中,我们通过“它的收敛性分析以及它与现有方法(即基准扩展卡尔曼滤波器、高斯二阶滤波器和Kushner-Stratonovich高阶滤波器)的优越性”来证明卫星动态滤波在基于卡尔曼滤波中的实用性。从仿真结果可以看出,基于carleman的滤波在卫星动态状态条件均值和条件方差的绝对滤波误差(AFE)方面优于其他基准滤波器。
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引用次数: 0
Flatness-based control in successive loops for electropneumatic actuators and robots 电动气动执行器和机器人连续回路中基于平面度的控制
IF 1.9 Q3 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-09-01 DOI: 10.1016/j.ifacsc.2023.100222
G. Rigatos , M. Abbaszadeh , J. Pomares

The control problem for the nonlinear dynamics of robotic and mechatronic systems with electropneumatic actuation is solved with the use of a flatness-based control approach which is implemented in successive loops. The state-space model of these systems is separated into a series of subsystems, which are connected between them in cascading loops. Each one of these subsystems can be viewed independently as a differentially flat system and control about it can be performed with inversion of its dynamics as in the case of input–output linearized flat systems. In this chain of i=1,2,,N subsystems, the state variables of the subsequent (i+1th) subsystem become virtual control inputs for the preceding (ith) subsystem, and so on. In turn, exogenous control inputs are applied to the last subsystem and are computed by tracing backwards the virtual control inputs of the preceding N1 subsystems. The whole control method is implemented in successive loops and its global stability properties are also proven through Lyapunov stability analysis. The validity of the control method is confirmed in two case studies: (a) control of an electropneumatic actuator, (ii) control of a multi-DOF robotic manipulator with electropneumatic actuators.

采用基于平面度的连续回路控制方法,解决了电气动驱动机器人和机电系统的非线性动力学控制问题。这些系统的状态空间模型被划分为一系列子系统,子系统之间以级联回路的形式相互连接。这些子系统中的每一个都可以独立地看作是一个差分平面系统,并且可以像输入-输出线性化平面系统一样,通过对其动力学进行反演来对其进行控制。在这个i=1,2,…,N个子系统的链中,后面(i+1)个子系统的状态变量成为前面(i)个子系统的虚拟控制输入,以此类推。然后,外生控制输入应用于最后一个子系统,并通过追溯前面N−1个子系统的虚拟控制输入来计算。整个控制方法在连续回路中实现,并通过李雅普诺夫稳定性分析证明了其全局稳定性。通过两个实例验证了该控制方法的有效性:(a)电气动致动器的控制,(ii)带电气动致动器的多自由度机械臂的控制。
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引用次数: 1
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IFAC Journal of Systems and Control
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