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Some Results on the Properties of Discrete-Time LTI State-Space Systems 关于离散时间 LTI 状态空间系统特性的若干结果
Pub Date : 2024-05-23 DOI: 10.1115/1.4065590
S. Kadam, Harish J. Palanthandalam-Madapusi
This work brings forward several interesting facts about system properties of LTI discrete-time systems like output controllability, state controllability and state observability, trackability and input and state observability. Particularly, the work brings about the inter-relationships between these properties while taking a state-space formulation based approach to come up with simple facts that are backed up by proofs using preliminary linear algebra.
这项研究提出了有关 LTI 离散时系统特性的几个有趣事实,如输出可控性、状态可控性和状态可观测性、可跟踪性以及输入和状态可观测性。特别是,该著作在采用基于状态空间表述的方法得出简单事实的同时,还利用初步线性代数证明了这些属性之间的相互关系。
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引用次数: 0
Using Constrained Convex Optimization in Parameter Estimation of Process Dynamics with Dead Time 在有死区时间的过程动态参数估计中使用约束凸优化技术
Pub Date : 2024-02-16 DOI: 10.1115/1.4064770
M. Pal, K. Banerjee, Bivas Dam
This paper proposes the usage of constrained convex optimization in improving the quality of the parameter estimates of a typical process plant with dead time from its time response data by incorporating system-specific constraints that are not considered in standard estimation methods. As the majority of the process plants are identified as second-order plus dead time (SOPDT) systems, the proposed method uses the same for establishing the optimization process. Traditional methods for parameter estimation in SOPDT systems have often relied on heuristic approaches or simplified assumptions, leading to suboptimal results. The proposed methodology augments the accuracy of the estimated values by leveraging the power of constrained convex optimization techniques, using Newton's Quadratic Model and Sequential Quadratic Programming, which provide a rigorous mathematical framework for parameter estimation. By incorporating system constraints, such as bounds on the parameters or stability requirements, it is ensured that the obtained parameter estimates adhere to physical and practical limitations. The proposed approach is demonstrated using simulations and on a real-time system, and the results show that it is effective not only in accurately estimating the parameters of the underdamped SOPDT systems but also works efficiently for parameter estimation of SOPDT systems in the presence of measurement noise. The efficacy of the proposed algorithm is verified by comparing it with similar published methods.
本文提出使用约束凸优化方法,通过纳入标准估算方法中未考虑的系统特定约束条件,从时间响应数据中提高有死区时间的典型工艺设备的参数估算质量。由于大多数工艺设备都被认定为二阶加死区时间(SOPDT)系统,因此所提出的方法也采用同样的方法来建立优化过程。传统的 SOPDT 系统参数估计方法往往依赖于启发式方法或简化假设,从而导致次优结果。所提出的方法利用牛顿二次模型和序列二次编程等约束凸优化技术,为参数估计提供了严格的数学框架,从而提高了估计值的准确性。通过纳入系统约束条件,如参数边界或稳定性要求,可确保获得的参数估计符合物理和实际限制。我们利用仿真和实时系统演示了所提出的方法,结果表明它不仅能有效地准确估计欠阻尼 SOPDT 系统的参数,还能在存在测量噪声的情况下有效地估计 SOPDT 系统的参数。通过与已发表的类似方法进行比较,验证了所提算法的有效性。
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引用次数: 0
Adaptive Tracking Control of Robotic Manipulator Subjected to Actuator Saturation and Partial Loss of Effectiveness 受制于致动器饱和及部分失效的机器人机械手的自适应跟踪控制
Pub Date : 2024-02-05 DOI: 10.1115/1.4064653
Van-Tam Ngo, Yen-Chen Liu
This paper introduces an adaptive control design tailored for robotic systems described by Euler-Lagrange equations under actuator saturation and partial loss of effectiveness. The adaptive law put forth not only retains conventional control properties but also extends its scope to effectively address challenges posed by actuator saturation and partial loss of effectiveness. The framework's primary focus is on bolstering system robustness, thereby ensuring the achievement of uniformly ultimate bounded tracking errors. The stability and convergence of the system's behavior are rigorously established through the application of the Lyapunov analysis technique. Moreover, the effectiveness and superiority of the introduced framework are compellingly demonstrated through a series of practical simulation and experimental instances.
本文介绍了在执行器饱和和部分失效情况下,针对由欧拉-拉格朗日方程描述的机器人系统量身定制的自适应控制设计。所提出的自适应法则不仅保留了传统的控制特性,还扩展了其范围,以有效应对执行器饱和和部分失效所带来的挑战。该框架的主要重点是增强系统的鲁棒性,从而确保实现均匀终极有界跟踪误差。通过应用 Lyapunov 分析技术,严格确定了系统行为的稳定性和收敛性。此外,通过一系列实际模拟和实验实例,有力地证明了所引入框架的有效性和优越性。
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引用次数: 0
Adaptive Tracking Control of Robotic Manipulator Subjected to Actuator Saturation and Partial Loss of Effectiveness 受制于致动器饱和及部分失效的机器人机械手的自适应跟踪控制
Pub Date : 2024-02-05 DOI: 10.1115/1.4064653
Van-Tam Ngo, Yen-Chen Liu
This paper introduces an adaptive control design tailored for robotic systems described by Euler-Lagrange equations under actuator saturation and partial loss of effectiveness. The adaptive law put forth not only retains conventional control properties but also extends its scope to effectively address challenges posed by actuator saturation and partial loss of effectiveness. The framework's primary focus is on bolstering system robustness, thereby ensuring the achievement of uniformly ultimate bounded tracking errors. The stability and convergence of the system's behavior are rigorously established through the application of the Lyapunov analysis technique. Moreover, the effectiveness and superiority of the introduced framework are compellingly demonstrated through a series of practical simulation and experimental instances.
本文介绍了在执行器饱和和部分失效情况下,针对由欧拉-拉格朗日方程描述的机器人系统量身定制的自适应控制设计。所提出的自适应法则不仅保留了传统的控制特性,还扩展了其范围,以有效应对执行器饱和和部分失效所带来的挑战。该框架的主要重点是增强系统的鲁棒性,从而确保实现均匀终极有界跟踪误差。通过应用 Lyapunov 分析技术,严格确定了系统行为的稳定性和收敛性。此外,通过一系列实际模拟和实验实例,有力地证明了所引入框架的有效性和优越性。
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引用次数: 0
Utilisation of Manipulator Redundancy for Torque Reduction During Force Interaction 利用机械手冗余减少力相互作用过程中的扭矩
Pub Date : 2024-02-05 DOI: 10.1115/1.4064654
Shail V Jadav, H. Palanthandalam-Madapusi
The integration of robots into environments shared by humans has been enhanced through the use of redundant robots capable of executing primary tasks and secondary objectives such as obstacle avoidance and null space impedance control. A critical secondary objective involves optimizing manipulator configurations to reduce torque and prevent torque saturation, similar to how athletes distribute loads to minimize the risk of injury. This paper suggests employing robotic redundancy to evenly distribute joint loads, thereby improving performance and avoiding torque saturation. Prior studies primarily focused on either endpoint stiffness control or kinetic energy minimization, each having its drawbacks. This paper introduces a novel objective function that responds to all external disturbances at the end effector, aiming to lower joint torques via redundancy for precise trajectory tracking amidst disturbances. This method, which provides an inverse kinematics solution adaptable to various controllers, demonstrated a 29.85% reduction in peak torque and a 14.69% decrease in cumulative torques in the KUKA LBRiiwa 14 R820 robot.
通过使用能够执行主要任务和次要目标(如避开障碍物和无效空间阻抗控制)的冗余机器人,机器人与人类共享环境的融合得到了加强。一个关键的次要目标涉及优化机械手配置,以降低扭矩并防止扭矩饱和,这与运动员如何分配负载以最大限度降低受伤风险类似。本文建议采用机器人冗余来平均分配关节负载,从而提高性能并避免扭矩饱和。之前的研究主要集中在端点刚度控制或动能最小化上,这两种方法各有缺点。本文介绍了一种新的目标函数,它能对末端效应器的所有外部干扰做出响应,旨在通过冗余降低关节扭矩,从而在干扰中实现精确的轨迹跟踪。该方法提供了一种适用于各种控制器的逆运动学解决方案,在 KUKA LBRiiwa 14 R820 机器人中,峰值扭矩降低了 29.85%,累积扭矩降低了 14.69%。
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引用次数: 0
Utilisation of Manipulator Redundancy for Torque Reduction During Force Interaction 利用机械手冗余减少力相互作用过程中的扭矩
Pub Date : 2024-02-05 DOI: 10.1115/1.4064654
Shail V Jadav, H. Palanthandalam-Madapusi
The integration of robots into environments shared by humans has been enhanced through the use of redundant robots capable of executing primary tasks and secondary objectives such as obstacle avoidance and null space impedance control. A critical secondary objective involves optimizing manipulator configurations to reduce torque and prevent torque saturation, similar to how athletes distribute loads to minimize the risk of injury. This paper suggests employing robotic redundancy to evenly distribute joint loads, thereby improving performance and avoiding torque saturation. Prior studies primarily focused on either endpoint stiffness control or kinetic energy minimization, each having its drawbacks. This paper introduces a novel objective function that responds to all external disturbances at the end effector, aiming to lower joint torques via redundancy for precise trajectory tracking amidst disturbances. This method, which provides an inverse kinematics solution adaptable to various controllers, demonstrated a 29.85% reduction in peak torque and a 14.69% decrease in cumulative torques in the KUKA LBRiiwa 14 R820 robot.
通过使用能够执行主要任务和次要目标(如避开障碍物和无效空间阻抗控制)的冗余机器人,机器人与人类共享环境的融合得到了加强。一个关键的次要目标涉及优化机械手配置,以降低扭矩并防止扭矩饱和,这与运动员如何分配负载以最大限度降低受伤风险类似。本文建议采用机器人冗余来平均分配关节负载,从而提高性能并避免扭矩饱和。之前的研究主要集中在端点刚度控制或动能最小化上,这两种方法各有缺点。本文介绍了一种新的目标函数,它能对末端效应器的所有外部干扰做出响应,旨在通过冗余降低关节扭矩,从而在干扰中实现精确的轨迹跟踪。该方法提供了一种适用于各种控制器的逆运动学解决方案,在 KUKA LBRiiwa 14 R820 机器人中,峰值扭矩降低了 29.85%,累积扭矩降低了 14.69%。
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引用次数: 0
RELIABILITY-BASED DESIGN OPTIMIZATION OF UNCERTAIN LINEAR SYSTEMS SUBJECTED TO RANDOM VIBRATIONS 基于可靠性的受随机振动影响的不确定线性系统的优化设计
Pub Date : 2023-12-29 DOI: 10.1115/1.4064378
L. E. Ballesteros Martínez, S. Missoum
A reliability-based design optimization (RBDO) approach for uncertain linear systems subjected to random vibrations is presented. The computation of the first-passage failure probability with uncertain system parameters is computed as the total probability, which accounts for both the stochastic excitation and the randomness of the parameters. This quantity, which is dependent on the failure rate, is in general difficult to compute for complex problems involving finite element simulations. This difficulty becomes even more pronounced in the case of RBDO. To mitigate this problem, this work uses surrogate models and a dedicated adaptive sampling scheme to significantly reduce the number of simulations. Gaussian Processes (GPs) are used as surrogates to approximate the failure rate over the extended space that includes design variables and random parameters. The adaptive sampling scheme leverages the availability of the prediction variance while accounting for the joint distribution of the system's random parameters, enabling the scheme to focus on regions of the space with high probabilistic content. The RBDO algorithm is applied to two test problems modeled with finite elements: a cantilever beam with tip mass and a payload adapter.
本文介绍了一种基于可靠性的设计优化(RBDO)方法,适用于受随机振动影响的不确定线性系统。在系统参数不确定的情况下,首次通过失效概率的计算方法为总概率,其中考虑了随机激励和参数的随机性。总概率取决于故障率,对于涉及有限元模拟的复杂问题,一般很难计算。在 RBDO 的情况下,这一困难变得更加明显。为了缓解这一问题,本研究采用了代用模型和专门的自适应采样方案,从而大大减少了模拟次数。高斯过程(GPs)被用作代用模型,用于近似包括设计变量和随机参数在内的扩展空间中的故障率。自适应采样方案利用了预测方差的可用性,同时考虑了系统随机参数的联合分布,使该方案能够关注具有高概率内容的空间区域。RBDO 算法被应用于两个用有限元建模的测试问题:带顶端质量的悬臂梁和有效载荷适配器。
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引用次数: 0
Gait Sensing and Haptic Feedback Using an Inflatable Soft Haptic Sensor 使用充气式软触觉传感器进行步态传感和触觉反馈
Pub Date : 2023-12-29 DOI: 10.1115/1.4064377
Emiliano Quinones Yumbla, Jahnav Rokalaboina, Amber Kanechika, Souvik Poddar, Tolemy M. Nibi, Wenlong Zhang
Collecting gait data and providing haptic feedback are essential for the safety and efficiency of robot-based rehabilitation. However, readily available devices that can perform both are scarce. This work presents a novel method for mutual sensing and haptic feedback, through the development of an Inflatable Soft Haptic Sensor (ISHASE). The design, modeling and characterization of ISHASE are discussed. Four ISHASE are embedded in the insole of a shoe to measure ground reaction forces and provide haptic feedback. Four participants were recruited to evaluate the performance of ISHASE as a sensor and haptic device. Experimental results indicate that ISHASE can accurately estimate the user's ground reaction forces while walking, with a maximum and a minimum accuracy of 91% and 85% respectively. Haptic feedback was delivered to four different locations under the foot and the users could identify the location with an average 92% accuracy. A case study, that exemplifies a rehabilitation scenario, is presented to demonstrate the ISHASE's usefulness for mutual sensing and haptic feedback.
收集步态数据和提供触觉反馈对基于机器人的康复训练的安全性和效率至关重要。然而,能同时实现这两项功能的现成设备却非常稀缺。本研究通过开发充气式软触觉传感器(ISHASE),提出了一种新颖的互感和触觉反馈方法。文中讨论了 ISHASE 的设计、建模和表征。四个 ISHASE 被嵌入鞋垫中,用于测量地面反作用力并提供触觉反馈。我们招募了四名参与者来评估 ISHASE 作为传感器和触觉设备的性能。实验结果表明,ISHASE 能够准确估计用户行走时的地面反作用力,最高准确率为 91%,最低准确率为 85%。触觉反馈被传送到脚下的四个不同位置,用户能以平均 92% 的准确率识别位置。本报告介绍了一个康复场景的案例研究,以证明 ISHASE 在互感和触觉反馈方面的实用性。
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引用次数: 0
Motion Compensator for an Untethered Walking Insect Using Adaptive Model Predictive Control 使用自适应模型预测控制的无系行走昆虫运动补偿器
Pub Date : 2023-12-28 DOI: 10.1115/1.4064370
Kaushik Rahman, Daniel Ehme, Clint Penick, Dal Hyung Kim
A locomotion compensator is normally utilized to observe the behavior of walking insects. These compensators cancel out the movement of freely walking insects to facilitate long-term imaging for studying behavior. However, controlling the locomotion compensator with a small error (≤1 mm) has been challenging due to the random motion of walking insects. This study introduces an adaptive model predictive control (MPC) approach combined with trajectory prediction to effectively control the Transparent Omnidirectional Locomotion Compensator (TOLC) for a randomly walking fire ant. The proposed MPC with prediction (MPCwP) utilizes the average velocity from the previous gaiting cycle to estimate its future trajectory. Experimental results demonstrate that MPCwP significantly outperforms MPC without prediction (MPCwoP), which relies solely on the current position and orientation. The distance error of the MPCwP method remains below 0.6 mm for 90.3% and 1.0 mm for 99.2% of the time, whereas MPCwoP achieves this only 32.6% and 69.1% of the time, respectively. Furthermore, the proposed method enhances the tracking performance of the heading angle, with the heading angle error staying below 8° for 92.6% of the time (ωθ = 1.0). The enhanced performance of the proposed MPC has the potential to improve the observation images and enable the integration of additional equipment such as an optical microscope for brain or organ imaging.
运动补偿器通常用于观察行走昆虫的行为。这些补偿器可以抵消自由行走昆虫的运动,以便于对行为进行长期成像研究。然而,由于行走昆虫的随机运动,要控制运动补偿器达到较小的误差(≤1 毫米)一直是个挑战。本研究介绍了一种结合轨迹预测的自适应模型预测控制(MPC)方法,可有效控制随机行走火蚁的透明全向运动补偿器(TOLC)。所提出的带预测的 MPC(MPCwP)利用上一个步态周期的平均速度来估计其未来轨迹。实验结果表明,MPCwP 明显优于不带预测的 MPC(MPCwoP),后者仅依赖于当前位置和方向。在 90.3% 和 99.2% 的时间里,MPCwP 方法的距离误差保持在 0.6 毫米以下,而 MPCwoP 分别只有 32.6% 和 69.1% 的时间能做到这一点。此外,拟议方法还提高了航向角的跟踪性能,在 92.6% 的时间内航向角误差保持在 8° 以下(ωθ = 1.0)。所建议的 MPC 性能的提高有可能改善观测图像,并使附加设备(如用于大脑或器官成像的光学显微镜)的集成成为可能。
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引用次数: 0
Neuromuscular State Estimation via Space-by-Time Neural Signal Decomposition 通过逐时神经信号分解进行神经肌肉状态估计
Pub Date : 2023-11-17 DOI: 10.1115/1.4064069
Avinash Baskaran, David Hollinger, Rhet O. Hailey, Michael Zabala, Chad G Rose
Robotic exoskeletons for the hand are being explored to improve health, safety, and physical performance. However, much research effort is needed to establish reliable models of human behavior for effective human-robot interaction control. In this work, surface electromyography is used to measure and model muscle activity of healthy participants performing quasi-isometric and dynamic hand exercises. Non-negative matrix tri-factorization (NM3F) is used to extract hidden neuromuscular parameters encoded in spatial and temporal muscle synergies, which are used to estimate probabilistic linear models of intent, effort, and fatigue. This paper thereby presents steps toward reliable modeling of nonlinear time-varying hand neuromuscular dynamics for intuitive and robust human-robot interaction.
人们正在探索手部机器人外骨骼,以改善健康、安全和体能。然而,要建立可靠的人类行为模型以实现有效的人机交互控制,还需要大量的研究工作。在这项工作中,使用表面肌电图测量健康参与者在进行准等距和动态手部运动时的肌肉活动并建立模型。非负矩阵三因子化(NM3F)用于提取空间和时间肌肉协同中编码的隐藏神经肌肉参数,这些参数用于估计意图、努力和疲劳的概率线性模型。因此,本文提出了可靠的非线性时变手部神经肌肉动力学建模步骤,以实现直观、稳健的人机交互。
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引用次数: 0
期刊
ASME Letters in Dynamic Systems and Control
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