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Robust Feedback Control for Discrete-Time Systems Based on Iterative LMIs with Polytopic Uncertainty Representations Subject to Stochastic Noise 随机噪声下基于多主题不确定性表示迭代LMI的离散系统鲁棒反馈控制
Pub Date : 2022-02-09 DOI: 10.3389/fcteg.2021.786152
Robert Dehnert, Michelle Damaszek, Sabine Lerch, A. Rauh, B. Tibken
This paper deals with the design of linear observer-based state feedback controllers with constant gains for a class of nonlinear discrete-time systems in the form of a quasi-linear representation in presence of stochastic noise. For taking into account nonlinearities in the design of linear observer-based state feedback controllers, a polytopic modeling approach is investigated. An optimization problem is formulated to reduce the sensitivity of the controlled system towards stochastic input, state, and output noise with a predefined covariance. Due to the nonlinearities, the separation principle does not hold, thus, the controller and the observer have to be designed simultaneously. For this purpose, a Lyapunov-based method is used, which provides, in addition to the controller and observer gains, a stability proof for the nonlinear closed loop in a predefined polytopic domain. In general, this leads to nonlinear matrix inequalities. To solve these nonlinear matrix inequalities efficiently, we propose an approach based on linear matrix inequalities (LMIs) with a superposed iteration rule. When using this iterative LMI approach, a minimization task can be solved additionally, which desensitizes the closed loop to stochastic noise. The proposed method additionally enables the consideration of different linear closed loop structures by a unified Lyapunov-based framework. The efficiency of the proposed approach is demonstrated and compared with a classical LQG approach for a nonlinear overhead traveling crane.
本文研究了一类具有准线性表示形式的非线性离散系统在随机噪声存在下基于线性观测器的常增益状态反馈控制器的设计。针对基于观测器的线性状态反馈控制器设计中的非线性问题,研究了一种多面体建模方法。提出了一个优化问题,以降低被控系统对随机输入、状态和输出噪声的敏感性,这些噪声具有预定义的协方差。由于系统的非线性,分离原理不成立,必须同时设计控制器和观测器。为此,使用了一种基于lyapunov的方法,该方法除了提供控制器和观测器增益外,还提供了非线性闭环在预定义多面体域中的稳定性证明。一般来说,这会导致非线性矩阵不等式。为了有效地求解这些非线性矩阵不等式,我们提出了一种基于线性矩阵不等式的叠加迭代方法。当使用这种迭代LMI方法时,可以额外解决最小化任务,从而使闭环对随机噪声不敏感。提出的方法还可以通过统一的基于lyapunov的框架考虑不同的线性闭环结构。针对非线性桥式起重机,验证了该方法的有效性,并与经典LQG方法进行了比较。
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引用次数: 4
Path Planning for a Jumping Rover Team With a Charging Station in Multi-Waypoints Visiting Missions 带充电站的跳跃式漫游者团队在多航路点访问任务中的路径规划
Pub Date : 2022-02-04 DOI: 10.3389/fcteg.2022.803468
Myungjin Jung , Kai Chuen Tan , R. Dai
This paper demonstrates an innovative group of robots, consisting of jumping rovers and a charging station, improved traversability and extended energy endurance when traveling to multiple target locations. By employing different jumping rovers with distinct energy consumption characteristics and jumping capabilities, we focus on searching for the most energy-efficient path of each jumping rover in a multi-waypoints visiting mission with obstacles. As jumping rovers can jump onto or over some obstacles without navigating around them, they have the potential to save energy by generating alternative paths to overcome obstacles. Moreover, due to the energy demands for the multi-waypoints mission and the limited battery capacity, a charging station is considered to provide extra energy for enhanced endurance during the mission. We first apply a refined rapidly-exploring random tree star (RRT∗) algorithm to find energy-efficient paths between any two target locations. Then, the genetic algorithm (GA) is applied to select the most profitable combination of paths to visit all targets with energy constraints. Finally, we verify the improved mobility and energy efficiency in both virtual simulation and experimental tests using a group of customized jumping rovers with a charging station and the proposed path planning and task allocation method.
本文展示了一组创新的机器人,由跳跃漫游车和充电站组成,在前往多个目标位置时提高了可穿越性并延长了能量耐力。通过使用具有不同能耗特征和跳跃能力的不同跳跃漫游车,我们专注于在有障碍物的多路点访问任务中搜索每个跳跃漫游车最节能的路径。由于跳跃漫游车可以在不绕着障碍物导航的情况下跳上或越过一些障碍物,因此它们有可能通过生成替代路径来克服障碍物来节省能源。此外,由于多路点任务的能量需求和有限的电池容量,充电站被认为可以在任务期间提供额外的能量以增强续航能力。我们首先应用一种改进的快速探索随机树星(RRT*)算法来寻找任意两个目标位置之间的节能路径。然后,应用遗传算法(GA)来选择最有利可图的路径组合,以访问所有具有能量约束的目标。最后,我们使用一组带充电站的定制跳跃漫游车以及所提出的路径规划和任务分配方法,在虚拟模拟和实验测试中验证了移动性和能效的提高。
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引用次数: 0
Quantification of Fractional Dynamical Stability of EEG Signals as a Bio-Marker for Cognitive Motor Control 量化脑电信号的分数动态稳定性作为认知运动控制的生物标记
Pub Date : 2022-02-01 DOI: 10.3389/fcteg.2021.787747
Emily A. Reed, Paul C Bogdan, S. Pequito
Assessing the stability of biological system models has aided in uncovering a plethora of new insights in genetics, neuroscience, and medicine. In this paper, we focus on analyzing the stability of neurological signals, including electroencephalogram (EEG) signals. Interestingly, spatiotemporal discrete-time linear fractional-order systems (DTLFOS) have been shown to accurately and efficiently represent a variety of neurological and physiological signals. Here, we leverage the conditions for stability of DTLFOS to assess a real-world EEG data set. By analyzing the stability of EEG signals during movement and rest tasks, we provide evidence of the usefulness of the quantification of stability as a bio-marker for cognitive motor control.
评估生物系统模型的稳定性有助于揭示遗传学、神经科学和医学领域的大量新见解。在本文中,我们重点分析神经信号的稳定性,包括脑电图(EEG)信号。有趣的是,时空离散时间线性分数阶系统(DTLFOS)已被证明能够准确有效地表示各种神经和生理信号。在这里,我们利用DTLFOS的稳定性条件来评估真实世界的EEG数据集。通过分析运动和休息任务期间脑电图信号的稳定性,我们提供了稳定性量化作为认知运动控制的生物标志物的有用性的证据。
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引用次数: 2
Proportional Predictive Control of Networked Linear Switched Reluctance Machine System With Time-Varying Delay 具有时变时滞的网络化线性开关磁阻电机系统的比例预测控制
Pub Date : 2022-01-21 DOI: 10.3389/fcteg.2021.771857
L. Qiu, Tao Deng, Xiaomei Yang, Marzieh Najariyan, Jian-fei Pan, Chengxiang Liu
In this article, a proportional predictive (PP) control strategy is proposed and a high-precision position tracking controller is designed for the networked linear switched reluctance machine system (NLSRMS) with time-varying delay. The closed-loop system model of the NLSRMS is constructed based on the PP control strategy. The stability conditions of the system are proposed by combining the optimal control value calculated by the cost function. The controller of the closed-loop NLSRMS is designed by using continuously updated predictive output equation information based on calculation. The comparative study of the proposed PP and PID control methods is presented by tracking several types of signals. The maximum steady errors of PP and PID control strategies are 0.2 mm and 2 mm under the sinusoidal signal, respectively. The maximum steady errors of PP and PID control strategies are 0.07 mm and 0.7 mm under the square signal, respectively. The simulation results show the effectiveness of the proposed PP control strategy.
针对具有时变时滞的网络化线性开关磁阻电机系统,提出了一种比例预测(PP)控制策略,并设计了一种高精度位置跟踪控制器。基于PP控制策略建立了NLSRMS的闭环系统模型。结合成本函数计算的最优控制值,提出了系统的稳定性条件。在计算的基础上,利用连续更新的预测输出方程信息设计了闭环NLSRMS的控制器。通过跟踪几种类型的信号,对所提出的PP和PID控制方法进行了比较研究。PP和PID控制策略在正弦信号下的最大稳态误差分别为0.2mm和2mm。PP和PID控制策略在平方信号下的最大稳态误差分别为0.07mm和0.7mm。仿真结果表明了所提出的PP控制策略的有效性。
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引用次数: 0
Event-Based Resilient Control of Multi-Agent Systems in Non-Ideal Communication Networks 非理想通信网络中多Agent系统基于事件的弹性控制
Pub Date : 2022-01-17 DOI: 10.3389/fcteg.2021.786318
Jianting Lyu, Lianghui Sun, Xin Wang, Dai Gao
This article focuses on the consensus problem of linear multi-agent systems under denial-of-service attacks and directed switching topologies. With only intermittent communication, the leader-following consensus can be preserved by fully distributed event-triggered strategies. Theoretical analysis shows that the proposed event-triggered resilient controller guarantees the exponential convergence in the presence of denial-of-service attacks and the exclusion of Zeno behavior. Compared to the existing studies where continuous communication between neighboring agents is required, the event-triggered data reduction scheme is provided to tackle the effects of denial-of-service attacks on directed switching topology as well as to avoid continuous communication and reduce energy consumption. The obtained results can be extended to the scenario without a leader. Numerical simulations are finally given to illustrate the effectiveness of the proposed method.
本文研究了拒绝服务攻击和定向交换拓扑下线性多智能体系统的一致性问题。只有断断续续的沟通,领导跟随的共识可以通过完全分布式的事件触发策略来保持。理论分析表明,所提出的事件触发弹性控制器在存在拒绝服务攻击和排除Zeno行为的情况下保证了指数收敛性。相较于现有的相邻agent之间需要连续通信的研究,提出了事件触发数据约简方案,解决了拒绝服务攻击对有向交换拓扑的影响,避免了连续通信,降低了能耗。所得结果可以推广到没有领导者的情况下。最后通过数值仿真验证了所提方法的有效性。
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引用次数: 0
A Submodular Receding Horizon Control Strategy to Distributed Persistent Monitoring 分布式持续监测的子模块后向时域控制策略
Pub Date : 2022-01-11 DOI: 10.3389/fcteg.2021.786877
Xiaohu Zhao, Yuanyuan Zou, Shaoyuan Li
This paper investigates the multi-agent persistent monitoring problem via a novel distributed submodular receding horizon control approach. In order to approximate global monitoring performance, with the definition of sub-modularity, the original persistent monitoring objective is divided into several local objectives in a receding horizon framework, and the optimal trajectories of each agent are obtained by taking into account the neighborhood information. Specifically, the optimization horizon of each local objective is derived from the local target states and the information received from their neighboring agents. Based on the sub-modularity of each local objective, the distributed greedy algorithm is proposed. As a result, each agent coordinates with neighboring agents asynchronously and optimizes its trajectory independently, which reduces the computational complexity while achieving the global performance as much as possible. The conditions are established to ensure the estimation error converges to a bounded global performance. Finally, simulation results show the effectiveness of the proposed method.
本文通过一种新的分布式子模块后退时域控制方法研究了多智能体的持久监测问题。为了近似全局监测性能,在子模块化的定义下,将原始的持久监测目标在后退时域框架中划分为多个局部目标,并通过考虑邻域信息来获得每个代理的最优轨迹。具体地,每个局部目标的优化范围是从局部目标状态和从其相邻代理接收的信息中导出的。基于每个局部目标的子模块性,提出了分布式贪婪算法。因此,每个代理与相邻代理异步协调,并独立优化其轨迹,这在尽可能实现全局性能的同时降低了计算复杂性。建立了确保估计误差收敛到有界全局性能的条件。最后,仿真结果表明了该方法的有效性。
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引用次数: 0
Inference of regulatory networks through temporally sparse data. 基于时间稀疏数据的调节网络推理。
Pub Date : 2022-01-01 DOI: 10.3389/fcteg.2022.1017256
Mohammad Alali, Mahdi Imani
A major goal in genomics is to properly capture the complex dynamical behaviors of gene regulatory networks (GRNs). This includes inferring the complex interactions between genes, which can be used for a wide range of genomics analyses, including diagnosis or prognosis of diseases and finding effective treatments for chronic diseases such as cancer. Boolean networks have emerged as a successful class of models for capturing the behavior of GRNs. In most practical settings, inference of GRNs should be achieved through limited and temporally sparse genomics data. A large number of genes in GRNs leads to a large possible topology candidate space, which often cannot be exhaustively searched due to the limitation in computational resources. This paper develops a scalable and efficient topology inference for GRNs using Bayesian optimization and kernel-based methods. Rather than an exhaustive search over possible topologies, the proposed method constructs a Gaussian Process (GP) with a topology-inspired kernel function to account for correlation in the likelihood function. Then, using the posterior distribution of the GP model, the Bayesian optimization efficiently searches for the topology with the highest likelihood value by optimally balancing between exploration and exploitation. The performance of the proposed method is demonstrated through comprehensive numerical experiments using a well-known mammalian cell-cycle network.
基因组学的一个主要目标是正确地捕捉基因调控网络(grn)的复杂动态行为。这包括推断基因之间复杂的相互作用,可用于广泛的基因组学分析,包括疾病的诊断或预后,以及寻找癌症等慢性疾病的有效治疗方法。布尔网络已经成为捕获grn行为的一类成功模型。在大多数实际设置中,grn的推断应该通过有限的和暂时稀疏的基因组数据来实现。grn中大量的基因导致可能的拓扑候选空间很大,由于计算资源的限制,往往无法对其进行穷尽搜索。本文利用贝叶斯优化和基于核的方法开发了一种可扩展的、高效的grn拓扑推理方法。该方法不是对可能的拓扑进行穷举搜索,而是构建一个具有拓扑启发核函数的高斯过程(GP)来解释似然函数中的相关性。然后,利用GP模型的后验分布,通过优化勘探和开采之间的平衡,有效地搜索似然值最高的拓扑结构。通过一个众所周知的哺乳动物细胞周期网络的综合数值实验证明了该方法的性能。
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引用次数: 5
Observer-Based Control of LPV Systems with Input Delay and Saturation and Matched Disturbances via a Generalized Sector Condition 广义扇区条件下具有输入延迟、饱和和匹配扰动的LPV系统观测器控制
Pub Date : 2021-12-10 DOI: 10.3389/fcteg.2021.710388
Saeed Salavati, Karolos Grigoriadis , Matthew Franchek 
This paper examines the control design for parameter-dependent input-delay linear parameter-varying (LPV) systems with saturation constraints and matched input disturbances. A gain-scheduled dynamic output feedback controller, coupled with a disturbance observer to cancel out input disturbance effects, was augmented with an anti-windup compensator to locally stabilize the input-delay LPV system under saturation, model uncertainty, and exogenous disturbances. Sufficient delay-dependent conditions to asymptotically stabilize the closed-loop system were derived using Lyapunov-Krasovskii functionals and a modified generalized sector condition to address the input saturation nonlinearity. The level of disturbance rejection was characterized via the closed-loop induced L 2 -norm of the closed-loop system in the form of linear matrix inequality (LMI) constraints. The results are examined in the context of the mean arterial pressure (MAP) control in the clinical resuscitation of critical hypotensive patients. The MAP variation response to the injection of vasopressor drugs was modeled as an LPV system with a varying input delay and was susceptible to model uncertainty and input/output disturbances. A Bayesian filtering method known as the cubature Kalman filter (CKF) was used to estimate the instantaneous values of the parameters. The varying delay was estimated via a multiple-model approach. The proposed input-delay LPV control was validated in closed-loop simulations to demonstrate its merits and capabilities in the presence of drug administration constraints.
研究了具有饱和约束和匹配输入扰动的参数相关输入延迟线性参数变化(LPV)系统的控制设计。增益调度动态输出反馈控制器与扰动观测器耦合以抵消输入扰动效应,并增加了抗饱和补偿器,以在饱和、模型不确定性和外部扰动下局部稳定输入延迟LPV系统。利用李亚普诺夫-克拉索夫斯基泛函和一个修正的广义扇形条件来解决输入饱和非线性问题,得到了闭环系统渐近稳定的充分的时滞相关条件。通过线性矩阵不等式(LMI)约束形式的闭环系统的闭环诱导L2-范数来表征扰动抑制水平。这些结果是在危重低血压患者临床复苏中的平均动脉压(MAP)控制的背景下进行检查的。对血管升压药物注射的MAP变化响应被建模为具有变化输入延迟的LPV系统,并且容易受到模型不确定性和输入/输出扰动的影响。使用称为容积卡尔曼滤波器(CKF)的贝叶斯滤波方法来估计参数的瞬时值。通过多模型方法估计了变化的延迟。在闭环仿真中验证了所提出的输入延迟LPV控制,以证明其在存在给药约束的情况下的优点和能力。
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引用次数: 0
Planar Formation Control of a School of Robotic Fish: Theory and Experiments 一类机器鱼的平面编队控制:理论与实验
Pub Date : 2021-12-03 DOI: 10.3389/fcteg.2021.782121
D. Paley, A. A. Thompson, A. Wolek, Paul Ghanem
This paper presents a nonlinear control design for the stabilization of parallel and circular motion in a school of robotic fish actuated with internal reaction wheels. The closed-loop swimming dynamics of the fish robots are represented by the canonical Chaplygin sleigh. They exchange relative state information according to a connected, undirected communication graph to form a system of coupled, nonlinear, second-order oscillators. Prior work on collective motion of constant-speed, self-propelled particles serves as the foundation of our approach. However, unlike a self-propelled particle, the fish robots follow limit-cycle dynamics to sustain periodic flapping for forward motion with time-varying speed. Parallel and circular motions are achieved in an average sense without feedback linearization of the agents’ dynamics. Implementation of the proposed parallel formation control law on an actual school of soft robotic fish is described, including system identification experiments to identify motor dynamics and the design of a motor torque-tracking controller to follow the formation torque control. Experimental results demonstrate a school of four robotic fish achieving parallel formations starting from random initial conditions.
本文提出了一种非线性控制设计,用于稳定由内反作用轮驱动的机器鱼群的平行运动和圆周运动。鱼类机器人的闭环游泳动力学由典型的Chaplygin雪橇表示。它们根据连接的无向通信图交换相对状态信息,形成一个耦合的非线性二阶振荡器系统。先前关于等速集体运动的工作,自推进粒子是我们方法的基础。然而,与自推进粒子不同,鱼类机器人遵循极限循环动力学,以时变速度维持周期性扑动向前运动。平行运动和圆周运动是在平均意义上实现的,而无需对代理的动力学进行反馈线性化。描述了所提出的并行编队控制律在一个实际的软体机器鱼群上的实现,包括识别电机动力学的系统识别实验和跟随编队转矩控制的电机转矩跟踪控制器的设计。实验结果表明,一组四条机器鱼从随机初始条件开始实现平行编队。
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引用次数: 0
Broad Learning Aided Model Predictive Control With Application to Continuous Stirred Tank Heater 广义学习辅助模型预测控制及其在连续搅拌槽加热器中的应用
Pub Date : 2021-11-30 DOI: 10.3389/fcteg.2021.788492
Mo Tao, Tianyi Gao, Xianling Li, Kuan Li
This paper presents a data-driven predictive controller based on the broad learning algorithm without any prior knowledge of the system model. The predictive controller is realized by regressing the predictive model using online process data and the incremental broad learning algorithm. The proposed model predictive control (MPC) approach requires less online computational load compared to other neural network based MPC approaches. More importantly, the precision of the predictive model is enhanced with reduced computational load by operating an appropriate approximation of the predictive model. The approximation is proved to have no influence on the convergence of the predictive control algorithm. Compared with the partial form dynamic linearization aided model free control (PFDL-MFC), the control performance of the proposed predictive controller is illustrated through the continuous stirred tank heater (CSTH) benchmark.
本文提出了一种基于广义学习算法的数据驱动预测控制器,该控制器不需要任何系统模型的先验知识。预测控制器是通过使用在线过程数据和增量广义学习算法对预测模型进行回归来实现的。与其他基于神经网络的MPC方法相比,所提出的模型预测控制(MPC)方法需要更少的在线计算负载。更重要的是,通过操作预测模型的适当近似,预测模型的精度随着计算负载的减少而提高。证明了该近似对预测控制算法的收敛性没有影响。与部分形式动态线性化辅助无模型控制(PFDL-MFC)相比,通过连续搅拌槽加热器(CSTH)基准,说明了所提出的预测控制器的控制性能。
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引用次数: 0
期刊
Frontiers in control engineering
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