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Infinite-Dimensional Adaptive Boundary Observer for Inner-Domain Temperature Estimation of 3D Electrosurgical Processes using Surface Thermography Sensing. 利用表面热成像传感进行三维电外科过程内域温度估算的无穷维自适应边界观测器
Pub Date : 2022-12-01 Epub Date: 2023-01-10 DOI: 10.1109/cdc51059.2022.9992642
Hamza El-Kebir, Junren Ran, Martin Ostoja-Starzewski, Richard Berlin, Joseph Bentsman, Leonardo P Chamorro

We present a novel 3D adaptive observer framework for use in the determination of subsurface organic tissue temperatures in electrosurgery. The observer structure leverages pointwise 2D surface temperature readings obtained from a real-time infrared thermographer for both parameter estimation and temperature field observation. We introduce a novel approach to decoupled parameter adaptation and estimation, wherein the parameter estimation can run in real-time, while the observer loop runs on a slower time scale. To achieve this, we introduce a novel parameter estimation method known as attention-based noise-robust averaging, in which surface thermography time series are used to directly estimate the tissue's diffusivity. Our observer contains a real-time parameter adaptation component based on this diffusivity adaptation law, as well as a Luenberger-type corrector based on the sensed surface temperature. In this work, we also present a novel model structure adapted to the setting of robotic surgery, wherein we model the electrosurgical heat distribution as a compactly supported magnitude- and velocity-controlled heat source involving a new nonlinear input mapping. We demonstrate satisfactory performance of the adaptive observer in simulation, using real-life experimental ex vivo porcine tissue data.

我们提出了一种新型三维自适应观测器框架,用于确定电外科手术中表层下有机组织的温度。该观测器结构利用从实时红外测温仪获得的点状二维表面温度读数进行参数估计和温度场观测。我们引入了一种解耦参数适应和估计的新方法,其中参数估计可以实时运行,而观测器环路则在较慢的时间尺度上运行。为了实现这一目标,我们引入了一种新颖的参数估计方法,即基于注意力的稳健噪声平均法,在这种方法中,表面热成像时间序列被用来直接估计组织的扩散率。我们的观测器包含一个基于该扩散适应法的实时参数适应组件,以及一个基于感应表面温度的卢恩贝格尔型校正器。在这项工作中,我们还提出了一种适用于机器人手术环境的新型模型结构,其中我们将电外科热分布建模为一个紧凑支持的幅度和速度控制热源,涉及一种新的非线性输入映射。我们利用真实的活体猪组织实验数据,证明了自适应观测器在模拟中令人满意的性能。
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引用次数: 2
Synthesizing network dynamics for short-term memory of impulsive inputs. 脉冲输入短时记忆的网络动力学综合。
BethAnna Jones, ShiNung Ching

Illuminating the mechanisms that the brain uses to manage and coordinate its resources is a core question in neuroscience. In particular, circuits and networks in the brain are able to encode, store and recall large amounts of information, in the service of a wide range of functionality. How do the various dynamical mechanisms within these networks allow for such coordination? We consider the specific problem of how the dynamics of networks can enact a representation of input stimuli that is retained over time, i.e., a form of short-term memory. We utilize modeling and control-theoretic methods to approach these questions, treating the state trajectory of a dynamical system as an abstract memory trace of prior inputs. The inputs impinge on the network via a variable gain, which is to be synthesized by optimization. In order to perpetuate these memory traces of stimuli, we propose that this gain is adapted to optimize: i) the error between a ground truth representation of stimuli and the encoding of them; as well as ii) overwriting of prior information. Optimizing over these central tenets of memory, we obtain a 'policy' for adapting the input gain that is dependent on the state of the network. This derived policy yields a recurrent neural network between the policy and the neural circuits, affirming existing theories that the prefrontal cortex may hold subnetworks dedicated to working memory while actively engaging with other neural subnetworks.

阐明大脑用来管理和协调其资源的机制是神经科学的核心问题。特别是,大脑中的电路和网络能够编码、存储和回忆大量的信息,服务于广泛的功能。这些网络中的各种动态机制是如何实现这种协调的?我们考虑的具体问题是,网络的动态如何制定输入刺激的表示,并随着时间的推移而保留,即短期记忆的一种形式。我们利用建模和控制理论方法来解决这些问题,将动态系统的状态轨迹视为先验输入的抽象记忆轨迹。输入通过一个可变增益冲击网络,该增益由优化合成。为了使这些刺激的记忆痕迹永久化,我们建议这种增益适应于优化:i)刺激的基本真值表示与它们的编码之间的误差;以及ii)覆盖先前的信息。通过对这些内存的中心原则进行优化,我们获得了一个“策略”,用于适应依赖于网络状态的输入增益。这一衍生策略在策略和神经回路之间产生了一个循环神经网络,证实了现有的理论,即前额叶皮层可能在积极参与其他神经网络的同时拥有专用于工作记忆的子网络。
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引用次数: 0
A Kalman filter-based Hybrid Model Predictive Control Algorithm for Mixed Logical Dynamical Systems: Application to Optimized Interventions for Physical Activity. 基于卡尔曼滤波器的混合逻辑动态系统混合模型预测控制算法:应用于体育活动的优化干预。
Pub Date : 2022-12-01 Epub Date: 2023-01-10 DOI: 10.1109/cdc51059.2022.9992932
Owais Khan, Mohamed El Mistiri, Daniel E Rivera, César A Martin, Eric Hekler

Hybrid Model Predictive Control (HMPC) is presented as a decision-making tool for novel behavioral interventions to increase physical activity in sedentary adults, such as Just Walk. A broad-based HMPC formulation for mixed logical dynamical (MLD) systems relevant to problems in behavioral medicine is developed and illustrated on a representative participant model arising from the Just Walk study. The MLD model is developed based on the requirement of granting points for meeting daily step goals and categorical input variables. The algorithm features three degrees-of-freedom tuning for setpoint tracking, measured and unmeasured disturbance rejection that facilitates controller robustness; disturbance anticipation further improves performance for upcoming events such as weekends and weather forecasts. To avoid the corresponding mixed-integer quadratic problem (MIQP) from becoming infeasible, slack variables are introduced in the objective function. Simulation results indicate that the proposed HMPC scheme effectively manages hybrid dynamics, setpoint tracking, disturbance rejection, and the transition between the two phases of the intervention (initiation and maintenance) and is suitable for evaluation in clinical trials.

混合模型预测控制(Hybrid Model Predictive Control,简称 HMPC)是一种决策工具,用于新颖的行为干预,以增加久坐不动的成年人的体育锻炼,如 "快走"(Just Walk)。本文针对与行为医学问题相关的混合逻辑动力学(MLD)系统开发了一种基础广泛的混合模型预测控制(HMPC)公式,并在 "健步走 "研究中产生的代表性参与者模型上进行了说明。MLD 模型是根据达到每日步数目标给予积分的要求和分类输入变量开发的。该算法具有三个自由度调整功能,用于设定点跟踪、测量和非测量干扰抑制,从而提高了控制器的鲁棒性;干扰预测进一步提高了即将发生的事件(如周末和天气预报)的性能。为避免相应的混合整数二次问题(MIQP)变得不可行,在目标函数中引入了松弛变量。仿真结果表明,所提出的 HMPC 方案能有效管理混合动力、设定点跟踪、干扰抑制以及干预两个阶段(启动和维护)之间的过渡,适合在临床试验中进行评估。
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引用次数: 0
Impulsive Neural Control to Schedule Antivirals and Immunomodulators for COVID-19. 为 COVID-19 安排抗病毒药物和免疫调节剂的脉冲神经控制。
Pub Date : 2022-12-01 Epub Date: 2023-01-10 DOI: 10.1109/cdc51059.2022.9992454
Gustavo Hernandez-Mejia, Edgar N Sánchez, Victor M Chan, E A Hernandez-Vargas

New SARS-CoV-2 variants escaping the effect of vaccines are an eminent threat. The use of antivirals to inhibit the viral replication cycle or immunomodulators to regulate host immune responses can help to tackle the viral infection at the host level. To evaluate the potential use of these therapies, we propose the application of an inverse optimal neural controller to a mathematical model that represents SARS-CoV-2 dynamics in the host. Antiviral effects and immune responses are considered as the control actions. The variability between infected hosts can be large, thus, the host infection dynamics are identified based on a Recurrent High-Order Neural Network (RHONN) trained with the Extended Kalman Filter (EKF). The performance of the control strategies is tested by employing a Monte Carlo analysis. Simulation results present different scenarios where potential antivirals and immunomodulators could reduce the viral load.

新的 SARS-CoV-2 变异株可以逃脱疫苗的作用,这是一个突出的威胁。使用抗病毒药物抑制病毒复制周期,或使用免疫调节剂调节宿主免疫反应,有助于在宿主水平上解决病毒感染问题。为了评估这些疗法的潜在用途,我们建议将反向最优神经控制器应用于一个代表宿主体内 SARS-CoV-2 动态的数学模型。抗病毒效果和免疫反应被视为控制行动。感染宿主之间的变异性可能很大,因此,宿主感染动态是基于用扩展卡尔曼滤波器(EKF)训练的递归高阶神经网络(RHONN)确定的。通过蒙特卡罗分析,对控制策略的性能进行了测试。模拟结果显示了潜在的抗病毒药物和免疫调节剂可降低病毒载量的不同情况。
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引用次数: 0
Analysis of an Extremum Seeking Controller Under Bounded Disturbance. 一类有界扰动下极值寻优控制器的分析。
Samuel C Pinto, Sean B Andersson

One of the applications of Extremum Seeking (ES) is to localize the source of a scalar field by using a mobile agent that can measure this field at its current location. While the scientific literature has presented many approaches to this problem, a formal analysis of the behavior of ES controllers for source seeking in the presence of disturbances is still lacking. This paper aims to fill this gap by analyzing a specific version of an ES control algorithm in the presence of source movement and measurement disturbances. We define an approximate version of this controller that captures the main features but allows for a simplified analysis and then formally characterize the convergence properties of this approximation. Through simulations and physical experiments, we compare the theoretically-predicted regions of attraction of the simplified system with the behavior of the full system and show that the simplified version is a good predictor of the behavior of the initial ES controller.

极值搜索(Extremum searching, ES)的一个应用是通过使用移动代理来定位标量场的来源,移动代理可以测量标量场的当前位置。虽然科学文献已经提出了许多方法来解决这个问题,但仍然缺乏对ES控制器在存在干扰时寻找源的行为的正式分析。本文旨在通过分析存在源运动和测量干扰的ES控制算法的特定版本来填补这一空白。我们定义了这个控制器的近似版本,它捕获了主要特征,但允许简化分析,然后正式表征了这个近似的收敛性质。通过仿真和物理实验,我们将理论预测的简化系统的吸引区域与完整系统的行为进行了比较,并表明简化版本可以很好地预测初始ES控制器的行为。
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引用次数: 0
A Nonlinear Observability Analysis of Ambient Wind Estimation with Uncalibrated Sensors, Inspired by Insect Neural Encoding. 受昆虫神经编码启发,利用未校准传感器进行环境风估计的非线性可观测性分析。
Pub Date : 2021-12-01 Epub Date: 2022-02-01 DOI: 10.1109/cdc45484.2021.9683219
Floris van Breugel

Estimating the direction of ambient fluid flow is key for many flying or swimming animals and robots, but can only be accomplished through indirect measurements and active control. Recent work with tethered flying insects indicates that their sensory representation of orientation, apparent wind, direction of movement, and control is represented by a 2-dimensional angular encoding in the central brain. This representation simplifies sensory integration by projecting the direction (but not scale) of measurements with different units onto a universal polar coordinate frame. To align these angular measurements with one another and the motor system does, however, require a calibration of angular gain and offset for each sensor. This calibration could change with time due to changes in the environment or physical structure. The circumstances under which small robots and animals with angular sensors and changing calibrations could self-calibrate and estimate the direction of ambient fluid flow while moving remains an open question. Here, a methodical nonlinear observability analysis is presented to address this. The analysis shows that it is mathematically feasible to continuously estimate flow direction and perform self-calibrations by adopting frequent changes in course (or active prevention thereof) and orientation, and requires fusion and temporal differentiation of three sensory measurements: apparent flow, orientation (or its derivative), and direction of motion (or its derivative). These conclusions are consistent with the zigzagging trajectories exhibited by many plume tracking organisms, suggesting that perhaps flow estimation is a secondary driver of their trajectory structure.

对于许多飞行或游泳的动物和机器人来说,估计环境流体流动的方向是关键,但只能通过间接测量和主动控制来实现。最近对系留飞行昆虫的研究表明,它们对方向、视风、运动方向和控制的感觉表示是由中央大脑中的二维角度编码表示的。这种表示通过将不同单位的测量方向(但不是比例)投影到通用极坐标系上,简化了感官集成。然而,为了使这些角度测量值彼此对准,电机系统确实需要校准每个传感器的角度增益和偏移。由于环境或物理结构的变化,这种校准可能会随着时间的推移而变化。在什么情况下,具有角度传感器和不断变化的校准的小型机器人和动物可以在移动时自我校准和估计环境流体流动的方向仍然是一个悬而未决的问题。本文提出了一种系统的非线性可观测性分析方法来解决这一问题。分析表明,通过频繁改变路线(或积极预防)和方向来连续估计流动方向并进行自校准在数学上是可行的,并且需要融合和时间区分三种感觉测量:表观流量、方向(或其导数)和运动方向(或它的导数)。这些结论与许多羽流追踪生物所表现出的曲折轨迹一致,表明流量估计可能是其轨迹结构的次要驱动因素。
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引用次数: 4
Guaranteed Reachability for Systems with Unknown Dynamics. 未知动力学系统的保证可达性
Melkior Ornik

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. Motivated by prior work on safety-critical online planning, this paper considers an environment where the only available information about system dynamics is that of dynamics at a single point. Limited to such knowledge, we study the problem of describing the set of all states that are guaranteed to be reachable regardless of the unknown true dynamics. We show that such a set can be underapproximated by a reachable set of a related known system whose dynamics at every state depend on the velocity vectors that are available in all control systems consistent with the assumed knowledge. Complementing the theory, we discuss a simple model of an aircraft in distress to verify that such an underapproximation is meaningful in practice.

计算给定系统的可达集是非线性控制理论中的一个典型问题。受先前安全关键型在线规划工作的启发,本文考虑了这样一种环境,即关于系统动态的唯一可用信息是单点的动态信息。受限于这些知识,我们研究了如何描述无论未知真实动态如何都能保证达到的所有状态集的问题。我们证明,这样一个集合可以通过相关已知系统的可到达集合进行低度近似,该系统在每个状态下的动力学都取决于与假定知识一致的所有控制系统中可用的速度矢量。作为理论的补充,我们讨论了一个遇险飞机的简单模型,以验证这种欠逼近在实践中是有意义的。
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引用次数: 0
Explorative Probabilistic Planning with Unknown Target Locations. 未知目标位置的探索性概率规划。
Farhad Nawaz, Melkior Ornik

Motion planning in an unknown environment demands synthesis of an optimal control policy that balances between exploration and exploitation. In this paper, we present the environment as a labeled graph where the labels of states are initially unknown, and consider a motion planning objective to fulfill a generalized reach-avoid specification given on these labels in minimum time. By describing the record of visited labels as an automaton, we translate our problem to a Canadian traveler problem on an adapted state space. We propose a strategy that enables the agent to perform its task by exploiting possible a priori knowledge about the labels and the environment and incrementally revealing the environment online. Namely, the agent plans, follows, and replans the optimal path by assigning edge weights that balance between exploration and exploitation, given the current knowledge of the environment. We illustrate our strategy on the setting of an agent operating on a two-dimensional grid environment.

未知环境下的运动规划需要综合最优控制策略,在勘探和开发之间取得平衡。在本文中,我们将环境呈现为一个标记图,其中状态标签最初是未知的,并考虑一个运动规划目标,以在最短时间内满足这些标签上给出的广义到达-避免规范。通过将访问标签的记录描述为自动机,我们将问题转化为适应状态空间上的加拿大旅行者问题。我们提出了一种策略,使智能体能够通过利用关于标签和环境的可能先验知识并在线增量地揭示环境来执行其任务。也就是说,在给定当前环境知识的情况下,智能体通过分配在探索和开发之间平衡的边权重来规划、遵循和重新规划最优路径。我们通过在二维网格环境中操作的代理的设置来说明我们的策略。
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引用次数: 1
Safe Tracking Control of an Uncertain Euler-Lagrange System with Full-State Constraints using Barrier Functions. 具有全状态约束的不确定欧拉-拉格朗日系统的障函数安全跟踪控制。
Pub Date : 2020-12-01 Epub Date: 2021-01-11 DOI: 10.1109/cdc42340.2020.9303891
Iman Salehi, Ghananeel Rotithor, Daniel Trombetta, Ashwin P Dani

This paper presents a novel, safe tracking control design method that learns the parameters of an uncertain Euler-Lagrange (EL) system online using adaptive learning laws. A barrier function (BF) is first used to transform the full-state constrained EL-dynamics into an equivalent unconstrained dynamics. An adaptive tracking controller is then developed along with the parameter update law in the transformed state space such that the states remain bounded for all time within a prescribed bound. A stability analysis is developed that considers the EL-dynamics' uncertainty, yielding a semi-globally uniformly ultimately bounded (SGUUB) tracking error and the parameter estimation error. The controller design is validated in simulations using a two-link planar manipulator. The results show the proposed method's ability to track the reference trajectory while remaining inside each of the predefined state bounds.

本文提出了一种新的、安全的跟踪控制设计方法,利用自适应学习规律在线学习不确定欧拉-拉格朗日系统的参数。首先利用势垒函数(BF)将全态约束el动力学转化为等效的无约束动力学。然后,根据变换后的状态空间中的参数更新规律,设计了一种自适应跟踪控制器,使状态始终保持在规定的范围内。建立了考虑el动力学不确定性的稳定性分析,得到了半全局一致最终有界(SGUUB)跟踪误差和参数估计误差。通过双连杆平面机械臂的仿真验证了该控制器的设计。结果表明,该方法能够跟踪参考轨迹,同时保持在每个预定义的状态边界内。
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引用次数: 10
Dual Quaternion Visual Servo Control. 双四元数视觉伺服控制。
Pub Date : 2020-12-01 Epub Date: 2021-01-11 DOI: 10.1109/cdc42340.2020.9303955
Ryan Saltus, Iman Salehi, Ghananeel Rotithor, Ashwin P Dani

This paper focuses on a dual quaternion-based estimation and control approach for position-based visual servoing (PBVS). The pose estimation of the camera is achieved using a dual quaternion-based Extended Kalman Filter (EKF), which estimates the position and orientation of the camera based on feature points acquired through a sequence of camera images. Based on the estimation, a dual quaternion control law is developed to regulate the camera to the desired pose. Leveraging the local exponential stability of the EKF and the global exponential stability of the designed controller, a nonlinear separation principle is used to prove the stability of the joint estimation and control for PBVS. The method is distinguished from other PBVS methods in the sense that a compact representation of dual quaternion is used to represent the pose, and a joint stability of estimator and controller for PBVS in dual quaternion space is presented. The proposed dual quaternion PBVS method is validated using a simulation.

研究了一种基于对偶四元数的位置视觉伺服系统估计与控制方法。摄像机的姿态估计使用基于对偶四元数的扩展卡尔曼滤波器(EKF)来实现,该滤波器基于通过一系列摄像机图像获得的特征点来估计摄像机的位置和方向。在此基础上,提出了一种双四元数控制律,将相机调节到期望的姿态。利用EKF的局部指数稳定性和所设计控制器的全局指数稳定性,利用非线性分离原理证明了PBVS联合估计和控制的稳定性。该方法与其他PBVS方法的不同之处在于使用对偶四元数的紧凑表示来表示姿态,并给出了对偶四元数空间中PBVS估计器和控制器的联合稳定性。通过仿真验证了所提出的双四元数PBVS方法。
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引用次数: 5
期刊
Proceedings of the ... IEEE Conference on Decision & Control. IEEE Conference on Decision & Control
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