Nonlinear control

  • 文章类型: Journal Article
    在这篇文章中,我们提出了一个独立的混合分布式发电系统的模型。在这个模型中,输入源是分布式直流电源,如太阳能电池板或电池。这个网络框架背后的想法是引入一个混合DC/AC网络,适用于具有独立直流电网的小型和偏远地区,在需要实用交流连接的大型城镇附近。分析了系统在稳态下的行为,网络在数学上由端口控制的哈密顿模型表示。稳定到所需电压,交流和直流,通过基于非线性无源性的控制来实现,不仅考虑了能量特性,而且考虑了固有的物理结构。
    In this article, we propose a model for a stand-alone hybrid distributed generation system. In this model, the input sources are distributed DC sources like solar panels or batteries. The idea behind this network framework is to introduce a hybrid DC/AC network, feasible for small and remotely located areas with stand-alone DC grids, in the vicinity of larger towns requiring a functional AC connection. The behaviour of the system in the steady state is analysed, and the network is mathematically represented with port-controlled Hamiltonian modelling. Stabilization to the desired voltage, both AC as well as DC, is attained with nonlinear passivity-based control taking into consideration not only the energy characteristics but also the inherent physical structure.
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  • 文章类型: Journal Article
    控制算法是基于与自然启发机制相关的知识提出的,包括那些基于生物行为的。本文提出了一项综述,重点是在受物体之间引力启发的应用控制范围内取得的重大突破。确定了一种专注于人工势场的控制方法,以及四种优化元启发式算法:引力搜索算法,黑洞算法,多版本优化器,和银河群优化。对91篇相关论文进行了彻底的分析,以突出它们的性能,并确定引力和吸引力的基础,以及支持它们的宇宙法则。包括他们的标准配方,以及他们的改进,已修改,混合动力车,级联,模糊,混乱和自适应版本。此外,这篇综述还深入探讨了宇宙启发算法对动态系统控制问题的影响,提供与控制相关的应用程序的广泛列表,以及它们固有的优势和局限性。强有力的证据表明,引力启发和黑洞动态驱动算法可以胜过控制工程中其他著名的算法,即使它们不是根据现实的天体物理现象设计的,也不是根据天体物理学定律制定的。即便如此,它们支持未来的研究方向,以发展受牛顿/爱因斯坦物理学启发的高度复杂的控制定律,这样,有效的控制天体物理学桥梁可以建立和应用在广泛的应用。
    Control algorithms have been proposed based on knowledge related to nature-inspired mechanisms, including those based on the behavior of living beings. This paper presents a review focused on major breakthroughs carried out in the scope of applied control inspired by the gravitational attraction between bodies. A control approach focused on Artificial Potential Fields was identified, as well as four optimization metaheuristics: Gravitational Search Algorithm, Black-Hole algorithm, Multi-Verse Optimizer, and Galactic Swarm Optimization. A thorough analysis of ninety-one relevant papers was carried out to highlight their performance and to identify the gravitational and attraction foundations, as well as the universe laws supporting them. Included are their standard formulations, as well as their improved, modified, hybrid, cascade, fuzzy, chaotic and adaptive versions. Moreover, this review also deeply delves into the impact of universe-inspired algorithms on control problems of dynamic systems, providing an extensive list of control-related applications, and their inherent advantages and limitations. Strong evidence suggests that gravitation-inspired and black-hole dynamic-driven algorithms can outperform other well-known algorithms in control engineering, even though they have not been designed according to realistic astrophysical phenomena and formulated according to astrophysics laws. Even so, they support future research directions towards the development of high-sophisticated control laws inspired by Newtonian/Einsteinian physics, such that effective control-astrophysics bridges can be established and applied in a wide range of applications.
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  • 文章类型: Journal Article
    本文介绍了设计,控制和评估由形状记忆合金(SMA)管驱动的新型机器人手指,该形状记忆合金管本质上提供了用于流体冷却的内部导管。SMA管被机械编程为在焦耳加热时弯曲机器人手指。超弹性SMA板提供弹簧复位运动,以在冷却液被泵送通过SMA管致动器的内部通道时延伸指状物。针对这种独特的机器人手指,提出了机械设计和非线性力控制器。正弦和阶跃响应实验表明,当在经验确定为6rads-1的带宽以下操作时,误差可达到出色的最小化。还进行了干扰抑制实验以证明最小化外部施加的力的潜力。这种焦耳加热SMA管的内部液体冷却方法同时增加了系统带宽并扩展了用于机器人应用的SMA致动器的潜在用途。结果表明,这种新颖的机器人手指能够精确控制力,并且具有很高的强度重量比。手指可以施加4.35N的力,并且质量为30g。将这种设计实施到可穿戴的假肢设备中可以实现轻量化,以前无法实现的高强度应用。
    This paper presents the design, control and evaluation of a novel robotic finger actuated by shape memory alloy (SMA) tubes which intrinsically afford an internal conduit for fluidic cooling. The SMA tubes are thennomechanically programmed to flex the robotic finger when Joule heated. A superelastic SMA plate provides a spring return motion to extend the finger when cooling liquid is pumped through the internal channel of the SMA tube actuators. The mechanical design and nonlinear force controller are presented for this unique robotic finger. Sinusoidal and step response experiments demonstrate excellent error minimization when operated below the bandwidth which was empirically determined to be 6 rad s-1. Disturbance rejection experiments are also performed to demonstrate the potential to minimize externally applied forces. This method of internal liquid cooling of Joule heated SMA tubes simultaneously increases the system bandwidth and expands the potential uses of SMA actuators for robotic applications. The results show that this novel robotic finger is capable of precise force control and has a high strength to weight ratio. The finger can apply a force of 4.35 N and has a mass of 30 g. Implementing this design into wearable prosthetic devices could enable lightweight, high strength applications previously not achievable.
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  • 文章类型: Journal Article
    磁性纳米粒子热疗(MNPH)已成为一种有前途的癌症治疗方法,可补充常规的电离辐射和化学疗法。MNPH涉及将氧化铁纳米颗粒注射到肿瘤中并暴露于交变磁场(AMF)。氧化铁纳米颗粒在暴露于射频AMF时由于磁滞损耗而产生热量。将人体组织暴露于AMF会通过感应涡流在组织中引起非特异性加热,必须最小化。已显示脉冲宽度调制的AMF可最大程度地减少表面组织中的涡流加热。该项目基于MATLABSIMULINK®中的简化数学模型开发了一种控制策略,以最大限度地减少涡流加热,同时保持肿瘤的治疗温度。需要43[°C]肿瘤温度的最低肿瘤温度至少30[min],同时保持周围健康组织低于39[°C]。模型预测控制(MPC)算法用于在大约100[s]内达到目标温度。作为一种受约束的MPC方法,施加36[kA/m]的最大AMF振幅和5[kA/m/s]的增量。MPC使用AMF振幅作为输入,并在其动态矩阵中使用涡流加热的开环响应。实现了传统的比例积分(PI)控制器,并将其与MPC性能进行了比较。结果显示,与PI(115[s]和5.7[%])响应相比,MPC具有更快的响应(30[s])和最小的过冲(1.4[%])。此外,MPC方法在处理过程参数的约束和变化方面比结构化PI控制器性能更好。 .
    Magnetic nanoparticle hyperthermia (MNPH) has emerged as a promising cancer treatment that complements conventional ionizing radiation and chemotherapy. MNPH involves injecting iron-oxide nanoparticles into the tumor and exposing it to an alternating magnetic field (AMF). Iron oxide nanoparticles produce heat when exposed to radiofrequency AMF due to hysteresis loss. Minimizing the non-specific heating in human tissues caused by exposure to AMF is crucial. A pulse-width-modulated AMF has been shown to minimize eddy-current heating in superficial tissues. This project developed a control strategy based on a simplified mathematical model in MATLAB SIMULINK®to minimize eddy current heating while maintaining a therapeutic temperature in the tumor. A minimum tumor temperature of 43 [°C] is required for at least 30 [min] for effective hyperthermia, while maintaining the surrounding healthy tissues below 39 [°C]. A model predictive control (MPC) algorithm was used to reach the target temperature within approximately 100 [s]. As a constrained MPC approach, a maximum AMF amplitude of 36 [kA/m] and increment of 5 [kA/m/s] were applied. MPC utilized the AMF amplitude as an input and incorporated the open-loop response of the eddy current heating in its dynamic matrix. A conventional proportional integral (PI) controller was implemented and compared with the MPC performance. The results showed that MPC had a faster response (30 [s]) with minimal overshoot (1.4 [%]) than PI controller (115 [s] and 5.7 [%]) response. In addition, the MPC method performed better than the structured PI controller in its ability to handle constraints and changes in process parameters.
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  • 文章类型: Journal Article
    恶意攻击在网络物理系统(CPS)中通常是不可避免的。如今,用于伺服系统位置跟踪的网络物理系统中的准确性是当今的主要关注点。在高精度工业自动化中,特别是在恶意网络攻击的情况下,很难达到跟踪的准确性,控制饱和度,参数扰动和外部扰动。在本文中,我们为这种网络物理控制系统设计了一种新颖的预定义时间(PDT)收敛滑模自适应控制器(PTCSMAC)。我们控制的主要关键特征是应对CPS系统带来的这些挑战,如参数扰动,控制饱和度,和网络攻击和整个系统升级到三阶系统,以促进自适应控制法。然后,我们提出了一种基于新型PDT收敛滑模面(SMS)的自适应控制器,并结合了修改后的权重更新的极限学习机(ELM),用于逼近系统的不确定部分。我们提出的控制方法的另一个重要优点是它不需要详细的模型信息,即使系统模型不确定,也能保证鲁棒性能。此外,无论初始条件如何,我们提出的PTCSMAC控制器都是非奇异的,并且能够消除奇点问题的可能性,这是许多CPS控制系统中经常关注的问题。最后,通过对CPS导引头伺服定位系统的严格仿真,我们验证了我们设计的PTCSMAC控制律,并比较了不同现有技术的鲁棒性和性能。
    Malicious attacks are often inevitable in cyber-physical systems (CPS). Accuracy in Cyber physical system for position tracking of servos is the major concern now a days. In high precision industrial automation, it is very hard to achieve accuracy in tracking especially under malicious cyber-attacks, control saturations, parametric perturbations and external disturbances. In this paper, we have designed a novel predefined time (PDT) convergence sliding mode adaptive controller (PTCSMAC) for such kind of cyber physical control system. Main key feature of our control is to cope these challenges that are posed by CPS systems such as parameter perturbation, control saturation, and cyber-attacks and the whole system then upgrade to a third-order system to facilitate adaptive control law. Then, we present an adaptive controller based on the novel PDT convergent sliding mode surface (SMS) combined with a modified weight updated Extreme Learning Machine (ELM) which is used to approximate the uncertain part of the system. Another significant advantage of our proposed control approach is that it does not require detailed model information, guaranteeing robust performance even when the system model is uncertain. Additionally, our proposed PTCSMAC controller is nonsingular regardless of initial conditions, and is capable of eradicating the possibility of singularity problems, which are frequently a concern in numerous CPS control systems. Finally, we have verified our designed PTCSMAC control law through rigorous simulations on CPS seeker servo positioning system and compared the robustness and performance of different existing techniques.
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  • 文章类型: Journal Article
    镜像疗法是一种标准的康复技术,用于恢复中风患者的运动和视觉能力,尤其是在肢体功能不对称的情况下。为了加强传统的镜像疗法,机器人镜像疗法(RMT)在过去的十年中被提出,允许麻痹(受影响)和对侧(健康)四肢的辅助双手协调。然而,最先进的RMT平台主要针对轨迹的镜像运动,主要限于二维运动。在本文中,提出了一个RMT平台,这可以促进患者进行日常生活的虚拟活动(ADL),从而增强其独立性。创建了两个类似的(但镜像的)3D虚拟环境,其中患者在治疗师的帮助下用四肢操作机器人以完成ADL(例如书写和进食)。通过监测患者跟踪指定轨迹的能力来连续评估患者的恢复水平。患者的机器人被编程为基于该恢复水平来帮助患者遵循这些轨迹。在本文中,与非线性控制器设计一起开发了动态监控恢复水平并相应地提供帮助的框架,以确保位置跟踪,力控制,和稳定性。使用3D轨迹跟踪和ADL进行概念验证研究。结果证明了所提出的系统的潜在用途,以提高患者的恢复。
    Mirror therapy is a standard technique of rehabilitation for recovering motor and vision abilities of stroke patients, especially in the case of asymmetric limb function. To enhance traditional mirror therapy, robotic mirror therapy (RMT) has been proposed over the past decade, allowing for assisted bimanual coordination of paretic (affected) and contralateral (healthy) limbs. However, state-of-the-art RMT platforms predominantly target mirrored motions of trajectories, largely limited to 2-D motions. In this paper, an RMT platform is proposed, which can facilitate the patient to practice virtual activities of daily living (ADL) and thus enhance their independence. Two similar (but mirrored) 3D virtual environments are created in which the patients operate robots with both their limbs to complete ADL (such as writing and eating) with the assistance of the therapist. The recovery level of the patient is continuously assessed by monitoring their ability to track assigned trajectories. The patient\'s robots are programmed to assist the patient in following these trajectories based on this recovery level. In this paper, the framework to dynamically monitor recovery level and accordingly provide assistance is developed along with the nonlinear controller design to ensure position tracking, force control, and stability. Proof-of-concept studies are conducted with both 3D trajectory tracking and ADL. The results demonstrate the potential use of the proposed system to enhance the recovery of the patients.
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  • 文章类型: Journal Article
    增益计划自动驾驶仪已成为实现耦合自适应控制的主要策略,非线性工程复杂性,由于能够适应不断变化的运营条件和不确定性。本研究的重点是利用增益调度自动驾驶仪的双线性插值,强调增强的系统性能和鲁棒性。通过使用三个不同的案例进行全面调查和比较分析,揭示了与传统方法相比的优势。简单和专用变体(如线性,和实时增益调度)。三个导弹制导案例研究利用了仿真时间和错过距离的优值。将双线性插值和自动实例化的性能与索引搜索进行比较,在可比的行进距离上,导弹未命中距离分别提高了179%和196%,计算负担略有改善。
    Gain-scheduled autopilots have emerged as a dominant strategy to achieve adaptive control of coupled, non-linear engineering complexities, owing to an ability to adapt to changing operational conditions and uncertainties. This study focuses on utilizing bilinear interpolation of gain-scheduled autopilots, emphasizing enhanced system performance and robustness. Through a comprehensive investigation and comparative analysis using three disparate cases, advantages over conventional methods are revealed. Strengths and weaknesses of both simple and specialized variants (such as linear, and real-time gain-scheduling) are introduced. Three missile guidance case-studies utilize simulation time and miss distance figures of merit. Comparing the performance of bilinear interpolation and automatic instantiations to index-search, over comparable traveled distances, missile miss distances were improved 179% and 196% respectively with slightly improved computational burden.
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  • 文章类型: Journal Article
    针对一类具有复合扰动的任意阶非线性控制系统,提出了一种具有预定时间收敛性的分数阶变滑模控制方法。该方法具有全局鲁棒性和强预定义时间稳定性。系统的所有状态误差都可以在期望的时间收敛到零,它可以用一个简单的参数任意设置。状态误差的解析表达式清楚地证明了系统的预定义时间收敛性,通过求解滑模函数对应的分数阶微分方程得到。仿真结果表明,该方法在存在输入饱和和外部干扰的情况下仍具有良好的控制性能。
    This paper proposes a fractional-order time-varying sliding mode control method with predefined-time convergence for a class of arbitrary-order nonlinear control systems with compound disturbances. The method has global robustness and strongly predefined-time stability. All state errors of the system can converge to zero at a desired time, which can be set arbitrarily with a simple parameter. The strongly predefined-time convergence of the system is clearly demonstrated by the analytic expression of state error, which is obtained by solving fractional-order differential equations corresponding to the sliding mode function. The simulation results show that the proposed method still has good control performance in the presence of input saturation and external interference.
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  • 文章类型: Journal Article
    在本文中,研究了反推控制在一类非线性运动系统中广泛应用的能量效率。引入了一种切换步进积分反推控制(SSIBC)方案,以提高对测量噪声的免疫力,并在实践中提高常规反推的能量效率。SSIBC是通过在迭代反推设计过程的不同步骤中获得的两个候选控制器之间切换来实现的。开发了一种双状态相关的滞后规则,以监督在存在噪声的情况下不同状态之间的稳定切换。所提出的方法在涉及耦合非线性动力学的MIMO双旋翼实验室直升机上进行了实验验证,无法进入的状态和不确定性。实验结果表明,除了降低功耗外,与传统的反推相比,SSIBC减少了控制信号的饱和和可见的电机抖动。与先前提出的优化解耦PID控制器的其他比较也显示出在更高的能量效率下实现的精度的显着提高。在系统中引入外部干扰后获得的实验结果也表明了所提出的SSIBC的鲁棒性。
    In this paper, the energy efficiency of the widespread application of backstepping control to a class of nonlinear motion systems is investigated. A Switched Step Integral Backstepping Control (SSIBC) scheme is introduced to improve immunity to measurement noise and to increase the energy efficiency of conventional backstepping in practice. The SSIBC is realized by switching between two candidate controllers obtained at different steps of the iterative backstepping design process. A bi-state dependent hysteresis rule is developed to supervise stable switching between the different regimes in the presence of noise. The proposed method is experimentally verified on a MIMO twin rotor laboratory helicopter involving coupled nonlinear dynamics, inaccessible states and uncertainties. Experimental results show that in addition to a reduction in power consumption, the SSIBC reduces saturation of the control signal and visible motor jerking in contrast with conventional backstepping. Additional comparisons with a previously proposed optimized decoupling PID controller also show significant improvement in precision achieved with higher energy efficiency. Experimental results obtained with the introduction of an external disturbance into the system also show the robustness of the proposed SSIBC.
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  • 文章类型: Journal Article
    在本文中,我们解决了Acrobot的向下摆动控制,两连杆平面机器人在垂直平面中操作,仅第二关节被致动。控制目标是在向下平衡点附近快速稳定Acrobot,两个链接都处于向下位置,几乎所有的初始状态。在无摩擦且仅可测量致动关节的角度和角速度的条件下,我们提出了一个正弦微分(SD)控制器。该控制器由致动关节角度的正弦函数的线性反馈和其角速度的线性反馈组成。我们证明,如果正弦增益大于负常数并且导数增益为正,则可以实现控制目标。我们建立了SD控制器下Acrobot的相对稳定性与其物理参数之间的关键关系,分析提供所有最优控制增益。这些增益使所得到的闭环系统围绕向下平衡点的线性化模型的主导极点的实部最小化。我们证明了所得的主要闭环极点可以是双复共轭极点,或者四根真极,或者三重真极,取决于Acrobot的物理参数。仿真研究表明,所提出的SD控制器在快速稳定Acrobot在向下平衡点上的性能优于导数(D)控制器。
    In this paper, we address the swing-down control of the Acrobot, a two-link planar robot operating in a vertical plane with only the second joint being actuated. The control objective is to rapidly stabilize the Acrobot around the downward equilibrium point, with both links in the downward position, from almost all initial states. Under the conditions of no friction and measurability of only the angle and angular velocity of the actuated joint, we present a sinusoidal-derivative (SD) controller. This controller consists of a linear feedback of the sinusoidal function of the angle of the actuated joint and a linear feedback of its angular velocity. We prove that the control objective is achieved if the sinusoidal gain is greater than a negative constant and the derivative gain is positive. We establish crucial relationships between the relative stability of the Acrobot under the SD controller and its physical parameters, presenting analytically all optimal control gains. These gains minimize the real parts of the dominant poles of the linearized model of the resulting closed-loop system around the downward equilibrium point. We demonstrate that the resulting dominant closed-loop poles can be double complex conjugate poles, or a quadruple real pole, or a triple real pole, depending on the Acrobot\'s physical parameters. Simulation studies indicate that the proposed SD controller outperforms the derivative (D) controller in rapidly stabilizing the Acrobot at the downward equilibrium point.
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