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2021 60th IEEE Conference on Decision and Control (CDC)最新文献

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Input to state stability of the Kermack-Mckendrick age structured epidemic model* Kermack-Mckendrick年龄结构流行病模型状态稳定性的输入*
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683436
Jorge San Martín, Takéo Takahashi, M. Tucsnak
We are interested in a system nonlinearly coupling a transport equation and an ODE. This system, inspired by the classical Kermack-Mckendrick epidemic model with age of infection, describes the evolution of an epidemic in the presence of vaccination and of a flux of susceptible population. Our main result provides effective input to state stability (ISS) estimates, assuming the application of an appropriate vaccination policy. The nonlinear character of the system and the presence of state constraints require a detailed preliminary analysis of the system well-posedness.
我们感兴趣的是一个非线性耦合系统一个输运方程和一个ODE。该系统受到经典的Kermack-Mckendrick流行病模型的启发,该模型具有感染年龄,描述了在接种疫苗和易感人群流动的情况下流行病的演变。我们的主要结果为状态稳定性(ISS)估计提供了有效的输入,假设应用了适当的疫苗接种政策。系统的非线性特性和状态约束的存在要求对系统适定性进行详细的初步分析。
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引用次数: 0
An orbital symmetry-based approach to observer design for systems with disturbances 基于轨道对称性的扰动系统观测器设计方法
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683396
S. Battilotti
We propose a framework for designing global observers for nonlinear systems with disturbances under geometric conditions based on orbital symmetries. Under some additional restrictions these orbital symmetry-based conditions boil down to geometric homogeneity (at infinity) conditions. Our observers are the result of the combination of a first filter, a state norm estimator, with a second filter adaptively tuned by the first and when compared with the existing literature have a completely novel structure, inherited by the orbital symmetry-based conditions. The second filter adaptively exploits the properties of orbital symmetries of the system to achieve global convergence properties by steering, first, the state estimate close to the state trajectory and acting locally afterwards.
我们提出了一个基于轨道对称性的几何条件下具有扰动的非线性系统全局观测器的设计框架。在一些额外的限制下,这些基于轨道对称性的条件归结为几何均匀性(在无穷远处)条件。我们的观测器是第一个滤波器、一个状态范数估计器和由第一个滤波器自适应调谐的第二个滤波器的组合结果,与现有文献相比,它具有完全新颖的结构,继承了基于轨道对称性的条件。第二种滤波器自适应地利用系统轨道对称性的特性,首先将状态估计转向接近状态轨迹,然后局部作用,从而获得全局收敛特性。
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引用次数: 0
A Novel Method for the Localization of Convex Workpieces in Robot Workspace Using Gauss Map 基于高斯映射的机器人工作空间凸件定位新方法
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683565
Jie Hu, P. Pagilla, S. Darbha
Workpiece localization is the process of obtaining the location of a workpiece in a robot workspace. The location (position and orientation) is represented by the transformation between the workpiece (local) coordinate frame and the reference (world) frame. In this work, we propose a workpiece localization strategy to automate the localization process by collecting data sequentially and efficiently without the two common restrictive assumptions: the data used to calculate the transformation is readily available and the correspondence between the features used for calculation is known. Correspondingly, two subproblems are involved: (1) determining the correspondence between the measured data and the CAD model data, and (2) determining the next-best-views (NBVs) in case of limited measurement data. We assume the workpiece is convex and has at least three flat surfaces. We use the extended Gaussian images (EGIs) from the Gauss map of both the CAD model point clouds and measured point clouds to find the flat surfaces on the workpiece. A mixed integer convex optimization problem is solved to estimate the correspondence and the rotation between the flat surfaces in the CAD model and the measured point clouds. The translation part of the homogeneous transformation is obtained by solving a least-squares problem using the estimated correspondence. Potential views for further measuring the workpiece are generated by evaluating a defined search region to find the NBVs based on a specified criterion. The workpiece is considered to be fully localized when the distances in the estimated homogeneous transformation matrices are within a predefined threshold. Simulation results are provided to show the effectiveness of the proposed localization method.
工件定位是获得工件在机器人工作空间中的位置的过程。位置(位置和方向)由工件(局部)坐标系和参考(世界)坐标系之间的变换表示。在这项工作中,我们提出了一种工件定位策略,通过顺序有效地收集数据来实现定位过程的自动化,而不需要两个常见的限制性假设:用于计算转换的数据是现成的,并且用于计算的特征之间的对应关系是已知的。相应地,涉及两个子问题:(1)确定测量数据与CAD模型数据之间的对应关系;(2)确定有限测量数据情况下的次优视图(NBVs)。我们假设工件是凸的,并且至少有三个平面。我们使用来自CAD模型点云和测量点云的高斯图的扩展高斯图像(EGIs)来寻找工件上的平面。解决了一个混合整数凸优化问题,以估计CAD模型中平面与测量点云之间的对应关系和旋转。利用估计的对应关系求解最小二乘问题,得到齐次变换的平移部分。进一步测量工件的潜在视图是通过评估一个定义的搜索区域来生成的,以根据指定的标准找到nvb。当估计的齐次变换矩阵中的距离在预定义的阈值内时,工件被认为是完全局部化的。仿真结果表明了所提出的定位方法的有效性。
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引用次数: 0
Efficient solution algorithms for the Bounded Acceleration Shortest Path problem 有界加速最短路径问题的有效求解算法
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683191
S. Ardizzoni, L. Consolini, M. Laurini, M. Locatelli
The purpose of this work is to introduce and characterize the Bounded Acceleration Shortest Path (BASP) problem, a generalization of the Shortest Path (SP) problem. This problem is associated to a graph: nodes represent positions of a mobile vehicle and arcs are associated to pre-assigned geometric paths that connect these positions. BASP consists in finding the minimum-time path between two nodes. Differently from SP, we require that the vehicle satisfy bounds on maximum and minimum acceleration and speed, that depend on the vehicle position on the currently traveled arc. We propose solution algorithms that achieves polynomial time-complexity under some additional hypotheses on problem data.
本工作的目的是介绍和描述有界加速最短路径(BASP)问题,这是最短路径(SP)问题的推广。这个问题与一个图有关:节点表示移动车辆的位置,弧线与连接这些位置的预先分配的几何路径有关。BASP包括寻找两个节点之间的最小时间路径。与SP不同的是,我们要求车辆满足最大和最小加速度和速度的界限,这取决于车辆在当前行驶弧线上的位置。在问题数据的一些附加假设下,我们提出了达到多项式时间复杂度的求解算法。
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引用次数: 0
Fully Distributed Event-Triggered Consensus of Double-Integrator Multi-Agent Systems 双积分器多智能体系统的全分布式事件触发一致性
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9682937
Shaopan Guo, Xiangyu Meng, Baozhu Du
In this paper, the consensus problem is studied for double-integrator multi-agent systems with edge-based event- triggered communication. More specifically, two agents connected by an edge mutually sample the relative state information when a designed triggering condition is satisfied. The triggering mechanism is introduced to reduce the communication frequency. To make the triggering mechanism implementable, a positive minimum inter-event time is guaranteed in all communication links in the network. All designs use only local neighborhood information. Based on Lyapunov analysis, the proposed algorithm makes all the agents converge to a consensus trajectory asymptotically.
研究了基于边缘事件触发通信的双积分器多智能体系统的一致性问题。更具体地说,当满足设计的触发条件时,由一条边连接的两个代理相互采样相对状态信息。为了降低通信频率,引入了触发机构。为了使触发机制能够实现,在网络中所有通信链路上保证一个正的最小事件间时间。所有的设计都只使用当地的社区信息。该算法基于Lyapunov分析,使所有智能体渐近收敛于一致轨迹。
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引用次数: 0
Sliding Mode Control for Stabilization and Disturbance Rejection of Uncertain Systems with Output Delays via Predictor and Super-Twisting Observer 基于预测器和超扭观测器的不确定输出时滞系统的滑模镇定与抗扰控制
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683058
H. Pinto, T. R. Oliveira, L. Hsu, M. Krstić
This paper provides a new stabilization control method for linear time-invariant systems subject to known time-varying measurement delays and matched unknown nonlinear disturbances that may represent actuator faults. Part of the state vector is assumed to be unmeasured in current time. Hence, the proposed method utilizes an open-loop predictor associated with a state observer based on the Super-Twisting Algorithm in order to compensate the delays and estimate the unmeasured state variables. In particular, this nonlinear observer-based structure allows for the reconstruction of the non-modeled fault signals which, unlike the existing literature, are not supposed to be generated by a known exogenous dynamic system, being also robust to parametric uncertainties, whereas the predictor advances in time the delayed output signal. Then, a sliding mode control law is developed to achieve an ideal sliding mode and guarantee global stabilization even in the presence of a more general class of perturbations, non-modeled disturbances, parametric uncertainties and delays due to the inclusion of the Super-Twisting observer. Numerical simulations illustrate the efficiency of the proposed approach.
本文为具有已知时变测量延迟和匹配未知非线性干扰(可能代表执行器故障)的线性定常系统提供了一种新的镇定控制方法。假设状态向量的一部分在当前时间是不可测量的。因此,该方法利用基于超扭转算法的开环预测器与状态观测器相结合来补偿延迟和估计未测量的状态变量。特别是,这种基于观测器的非线性结构允许重建非建模故障信号,与现有文献不同,这些信号不应该由已知的外生动态系统产生,对参数不确定性也具有鲁棒性,而预测器则随时间推移延迟输出信号。然后,开发了一种滑模控制律,以实现理想的滑模并保证全局稳定,即使存在更一般类型的扰动,非建模扰动,参数不确定性和由于包含超扭转观测器而导致的延迟。数值仿真验证了该方法的有效性。
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引用次数: 0
Hierarchical Structures for Economic Repetitive Control 经济重复控制的层次结构
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683000
K. Mishra, James Reed, Maxwell J. Wu, K. Barton, C. Vermillion
For many emerging repetitive control applications such as wind and marine energy generation systems, gait-cycle following in legged locomotion, remote sensing, surveillance, and reconnaissance, the primary objective for repetitive control (RC) is optimization of a cycle cost such as the lap-averaged power generated and metabolic cost of locomotion, as opposed to the classical requirement of tracking a known reference trajectory by the system output. For this newer class of applications, only a range of reference trajectories suitable for cyclic operation is known a priori, the range potentially encapsulating various operational constraints, and as part of repetitive control, it is desired that over a number of operation cycles, the cycle cost, or the economic metric, is optimized. With this underlying motivation, a hierarchical solution is presented, wherein the inner loop includes a classical repetitive controller that tracks a reference trajectory of known period, and the outer loop iteratively learns the desired reference trajectory using a combination of the system and cost function models and the measured cycle cost. This approach results in optimum steady-state cyclic operation. A steepest descent type algorithm is used in the outer loop, and via Lyapunov-like arguments, the existence of tuning parameters resulting in robust and optimal steady-state cyclic operation is discussed. Appropriate guidelines for parameter tuning are presented, and the proposed method is numerically validated using an example of an inverted pendulum.
对于许多新兴的重复控制应用,如风能和海洋能源发电系统,腿式运动中的步态-周期跟踪,遥感,监视和侦察,重复控制(RC)的主要目标是优化循环成本,如每圈平均产生的功率和运动的代谢成本,而不是通过系统输出跟踪已知参考轨迹的传统要求。对于这类较新的应用,只有一个适用于循环操作的参考轨迹范围是先验已知的,该范围可能包含各种操作约束,并且作为重复控制的一部分,希望在多个操作周期内,循环成本或经济指标得到优化。基于这一潜在动机,提出了一种分层解决方案,其中内环包括一个经典的重复控制器,该控制器跟踪已知周期的参考轨迹,外环使用系统和成本函数模型以及测量周期成本的组合迭代学习所需的参考轨迹。该方法可获得最佳稳态循环运行。外环采用最陡下降算法,并通过李雅普诺夫类论证,讨论了导致鲁棒和最优稳态循环运行的调谐参数的存在性。给出了适当的参数整定准则,并以倒立摆为例对所提方法进行了数值验证。
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引用次数: 0
Stealthy Targeted Local Covert Attacks on Cyber-Physical Systems 对网络物理系统的隐蔽攻击
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683226
Dina Mikhaylenko, Marcel Krames, Ping Zhang
Cyber security is nowadays an important research area in cyber-physical systems (CPS) to prevent possible disastrous physical consequences. In this paper, we consider stealthy targeted local covert attacks, which take into account the target of the adversary explicitly and need fewer disruption resources than standard covert attacks. We show conditions when the local attack can achieve its target and simultaneously remain stealthy. The provided conditions help to analyze the CPS on potential fraud and enhance the cyber security. Experimental results on the three-tank system are provided to illustrate the main results.
为了防止可能发生的灾难性物理后果,网络安全是当今网络物理系统(CPS)的一个重要研究领域。在本文中,我们考虑了隐身的目标局部隐蔽攻击,它明确地考虑了对手的目标,并且比标准隐蔽攻击需要更少的干扰资源。我们展示了局部攻击在达到目标的同时保持隐身的条件。提供的条件有助于分析CPS的潜在欺诈行为,提高网络安全性。给出了三罐系统的实验结果来说明主要结果。
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引用次数: 0
Stochastic Stability via Robustness of Linear Systems 线性系统鲁棒性的随机稳定性
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683784
Benjamin J. Gravell, T. Summers
Robust stability and stochastic stability have separately seen intense study in control theory since its inception. In this work we establish relations between these properties for discrete-time systems. Specifically, we examine a robustness framework which models the inherent uncertainty and variation in the system dynamics which arise in model-based learning control methods such as adaptive control and reinforcement learning. We provide results which guarantee mean-square stability margins in terms of multiplicative noises which affect the nominal dynamics, as well as connections to prior work which together imply that robust stability and mean-square stability are, in a certain sense, equivalent.
鲁棒稳定性和随机稳定性从一开始就在控制理论中得到了广泛的研究。在这项工作中,我们建立了离散时间系统的这些性质之间的关系。具体来说,我们研究了一个鲁棒性框架,该框架模拟了系统动力学中固有的不确定性和变化,这些不确定性和变化出现在基于模型的学习控制方法中,如自适应控制和强化学习。我们提供的结果保证了影响标称动力学的乘性噪声的均方稳定性裕度,以及与先前工作的联系,这些工作共同意味着鲁棒稳定性和均方稳定性在某种意义上是等价的。
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引用次数: 3
Near-Optimal Recursive Identification for Markov Switched Systems 马尔可夫切换系统的近最优递归辨识
Pub Date : 2021-12-14 DOI: 10.1109/CDC45484.2021.9683053
A. Andriën, D. Antunes
This paper tackles the problem of identifying the parameters of a class of stochastic switched systems, where the active subsystem is determined by a Markov chain. This class includes autoregressive models with exogenous inputs (ARX) for which the parameters switch according to a Markov chain and general Markov Jump Linear Systems (MJLSs) with full-state information. The transition probabilities of the Markov chain are assumed to be known, but the active subsystem is unknown. A recursive identification method for the joint maximum a posteriori probability estimate of these parameters and of the unknown mode is proposed relying on relaxed dynamic programming. The method is guaranteed to provide an estimate whose joint posteriori probability is within a constant factor of that of the optimal estimate while reducing the computational complexity. The method is illustrated through a numerical example.
本文研究了一类随机切换系统的参数辨识问题,其中主动子系统由马尔可夫链确定。该类包括参数根据马尔可夫链切换的外生输入自回归模型(ARX)和具有全状态信息的一般马尔可夫跳变线性系统(MJLSs)。假设马尔可夫链的转移概率是已知的,但活动子系统是未知的。提出了一种基于松弛动态规划的参数和未知模态联合最大后验概率估计的递归辨识方法。该方法保证提供的联合后验概率在最优估计的常数因子内,同时降低了计算复杂度。通过一个数值算例说明了该方法。
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引用次数: 2
期刊
2021 60th IEEE Conference on Decision and Control (CDC)
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