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Reformulations of Quadratic Programs for Lipschitz Continuity Lipschitz连续性的二次规划的重新表述
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-21 DOI: 10.1109/LCSYS.2025.3636377
Devansh R. Agrawal;Haejoon Lee;Dimitra Panagou
Optimization-based controllers often lack regularity guarantees, such as Lipschitz continuity, when multiple constraints are present. When used to control a dynamical system, these conditions are essential to ensure the existence and uniqueness of the system’s trajectory. Here we propose a general method to convert a Quadratic Program (QP) into a Second-Order Cone Problem (SOCP), which is shown to be Lipschitz continuous. Key features of our approach are that (i) the regularity of the resulting formulation does not depend on the structural properties of the constraints, such as the linear independence of their gradients; and (ii) it admits a closed-form solution under some assumptions, which is not available for general QPs with multiple constraints, enabling faster computation. We support our method with rigorous analysis and examples https://github.com/joonlee16/Lipschitz-controllers.
当存在多个约束时,基于优化的控制器通常缺乏规律性保证,例如Lipschitz连续性。当用于控制动力系统时,这些条件对于保证系统轨迹的存在性和唯一性是必不可少的。本文提出了一种将二次规划(QP)转化为二阶锥问题(SOCP)的一般方法,该问题被证明是Lipschitz连续的。我们的方法的主要特点是:(i)结果公式的规律性不依赖于约束的结构性质,例如其梯度的线性独立性;(ii)在某些假设条件下,它允许一个封闭形式的解,这对于具有多个约束的一般qp来说是不可用的,从而使计算速度更快。我们用严格的分析和例子来支持我们的方法https://github.com/joonlee16/Lipschitz-controllers。
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引用次数: 0
Development of Hyperbolic Tangent Geman–McClure Quaternion Kalman Filter for 3D Tracking Applications 双曲正切格曼-麦克卢尔四元数卡尔曼滤波在三维跟踪中的应用
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-21 DOI: 10.1109/LCSYS.2025.3635697
Mahesh Kumar Pal;Pyari Mohan Pradhan
This letter proposes to use the quaternion hyperbolic tangent Gemen-McClure (QHTGM) cost function to develop a variant of the quaternion Kalman filter (QKF). The proposed filter is named as the hyperbolic tangent Geman-McClure quaternion Kalman filter (HTGMQKF). Two case studies are used to examine the effectiveness of the proposed HTGMQKF. A three-dimensional (3-D) target tracking problem, which considers the process noise with different distributions such as Gaussian, Gaussian-mixture, and Laplacian, while the measurement noise is considered as a Gaussian-mixture distribution. The proposed HTGMQKF performs well for the three types of noise in terms of root mean square error (RMSE) and average RMSE (ARMSE). The second case study deals with the filtering of a quaternion signal, in which the proposed HTGMQKF is found to outperform the state-of-the-art quaternion filters.
这封信建议使用四元数双曲正切Gemen-McClure (QHTGM)代价函数来开发四元数卡尔曼滤波器(QKF)的变体。该滤波器被命名为双曲正切吉曼-麦克卢尔四元数卡尔曼滤波器(HTGMQKF)。两个案例研究被用来检验提议的HTGMQKF的有效性。三维目标跟踪问题,该问题考虑了过程噪声的高斯分布、高斯混合分布和拉普拉斯分布,而测量噪声则考虑高斯混合分布。提出的HTGMQKF对于三种类型的噪声在均方根误差(RMSE)和平均RMSE (ARMSE)方面表现良好。第二个案例研究处理四元数信号的滤波,其中发现提出的HTGMQKF优于最先进的四元数滤波器。
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引用次数: 0
Fully Distributed and Attack-Immune Consensus by Distributed Dual Observer-Based Linear Time-Varying Output Feedback 基于分布式双观测器的线性时变输出反馈的完全分布式和攻击免疫一致性
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-21 DOI: 10.1109/LCSYS.2025.3636206
Zhengxiao Peng;Bin Zhou;Kai Zhang
This letter considers the leader-following consensus problem for linear multi-agent systems under directed topology. By using only the relative outputs from neighboring agents, we propose a distributed dual observer-based time-varying output feedback protocol, in which the output feedback gain is designed by two time-varying terms one of which tends towards infinity as time increases, while the other tends towards zero. Compared with existing results, the proposed protocols possess two distinctive advantages. First, they eliminate the need for information exchange over the communication network, thereby providing inherent immunity to network-level attacks. Second, the protocols are fully distributed, which ensures robustness against variations in the communication topology. Numerical simulations verify the effectiveness of the proposed protocol.
本文研究了有向拓扑下线性多智能体系统的领导-跟随一致性问题。通过仅使用相邻智能体的相对输出,提出了一种基于分布式双观测器的时变输出反馈协议,该协议的输出反馈增益由两个时变项设计,其中一个时变项随着时间的增加趋于无穷大,而另一个时变项趋于零。与已有的结果相比,所提出的协议具有两个显著的优点。首先,它们消除了在通信网络上交换信息的需要,从而提供了对网络级攻击的固有免疫力。其次,协议是完全分布式的,这确保了对通信拓扑变化的鲁棒性。数值仿真验证了该协议的有效性。
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引用次数: 0
Constrained Variational Inference via Safe Particle Flow 基于安全粒子流的约束变分推理
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-21 DOI: 10.1109/LCSYS.2025.3636195
Yinzhuang Yi;Jorge Cortés;Nikolay Atanasov
We propose a control barrier function (CBF) formulation for enforcing equality and inequality constraints in variational inference. The key idea is to define a barrier functional on the space of probability density functions that encode the desired constraints imposed on the variational density. By leveraging the Liouville equation, we establish a connection between the time derivative of the variational density and the particle drift, which enables the systematic construction of corresponding CBFs associated to the particle drift. Enforcing these CBFs gives rise to the safe particle flow and ensures that the variational density satisfies the original constraints imposed by the barrier functional. This formulation provides a principled and computationally tractable solution to constrained variational inference, with theoretical guarantees of constraint satisfaction. The effectiveness of the method is demonstrated through numerical simulations.
我们提出了一种控制障碍函数(CBF)公式,用于在变分推理中强制执行相等和不等式约束。关键思想是在概率密度函数空间上定义一个屏障泛函,该泛函编码了对变分密度施加的期望约束。通过利用Liouville方程,我们建立了变分密度的时间导数与粒子漂移之间的联系,从而可以系统地构建与粒子漂移相关的相应cbf。加强这些cbf可以产生安全的颗粒流动,并确保变分密度满足屏障泛函所施加的原始约束。该公式为约束变分推理提供了一个原则性和计算上易于处理的解决方案,并在理论上保证了约束的满足。通过数值仿真验证了该方法的有效性。
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引用次数: 0
A Dynamically Weighted ADMM Framework for Byzantine Resilience 拜占庭弹性的动态加权ADMM框架
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-19 DOI: 10.1109/LCSYS.2025.3635522
Vishnu Vijay;Kartik A. Pant;Minhyun Cho;Inseok Hwang
The alternating direction method of multipliers (ADMM) is a popular method to solve distributed consensus optimization utilizing efficient communication among various nodes in the network. However, in the presence of faulty or attacked nodes, even a small perturbation (or sharing false data) during the communication can lead to divergence of the solution. To address this issue, in this letter we consider ADMM under the effect of Byzantine threat, where an unknown subset of nodes is subject to Byzantine attacks or faults. We propose Dynamically Weighted ADMM (DW-ADMM), a novel variant of ADMM that uses dynamic weights on the edges of the network, thus promoting resilient distributed optimization in settings without central coordination. We establish that the proposed method (i) produces a nearly identical solution to conventional ADMM in the error-free case, and (ii) guarantees a bounded solution with respect to the global minimizer, even under Byzantine threat. Finally, we demonstrate the effectiveness of our proposed algorithm using illustrative numerical simulations.
乘法器的交替方向法(ADMM)是利用网络中各节点之间的有效通信来解决分布式共识优化的一种流行方法。然而,在存在故障或受攻击节点的情况下,通信过程中即使是很小的扰动(或共享错误数据)也会导致解决方案的分歧。为了解决这个问题,在这封信中,我们考虑了拜占庭威胁下的ADMM,其中未知的节点子集受到拜占庭攻击或故障的影响。我们提出动态加权ADMM (DW-ADMM),这是ADMM的一种新变体,它在网络边缘使用动态权重,从而在没有中心协调的情况下促进弹性分布式优化。我们证明了所提出的方法(i)在无误差情况下产生与传统ADMM几乎相同的解,并且(ii)即使在拜占庭威胁下,也保证了相对于全局最小值的有界解。最后,通过数值模拟验证了算法的有效性。
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引用次数: 0
Gradient-Based Co-Design of Nonlinear Optimal Regulators With Stability Guarantee 具有稳定保证的非线性最优调节器的梯度协同设计
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-19 DOI: 10.1109/LCSYS.2025.3634657
Hikaru Hoshino
This letter proposes a gradient-based control co-design method for nonlinear optimal regulator problems, where physical design parameters and feedback controllers are optimized simultaneously. The proposed method is based on Galerkin approximations of the Hamilton–Jacobi–Bellman equation in a policy iteration framework. The key idea is to evaluate closed-loop performance as the expected cost over a prescribed distribution of initial states, which enables sensitivity analysis and gradient-based updates of the design parameters, while the controller is improved through policy iteration. As a result, the proposed method overcomes restrictive structural assumptions such as system equivalence, thereby avoiding conservatism and allowing flexible incorporation of design-dependent costs. Moreover, closed-loop stability is ensured at every iteration of the co-design procedure by embedding a recursive admissibility verification that combines two complementary Lyapunov conditions. The effectiveness of the proposed method is demonstrated through an example of a load positioning system.
这封信提出了一种基于梯度的非线性最优调节器问题的控制协同设计方法,其中物理设计参数和反馈控制器同时优化。该方法基于策略迭代框架中Hamilton-Jacobi-Bellman方程的Galerkin近似。其关键思想是将闭环性能评估为初始状态在规定分布上的预期成本,从而实现灵敏度分析和基于梯度的设计参数更新,同时通过策略迭代改进控制器。因此,所提出的方法克服了限制性结构假设,如系统等效,从而避免了保守性,并允许灵活地纳入设计相关成本。此外,通过嵌入结合两个互补Lyapunov条件的递归可容许性验证,确保了协同设计过程的每次迭代的闭环稳定性。通过负载定位系统的算例验证了该方法的有效性。
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引用次数: 0
Optimal Multimarginal Schrödinger Bridge: Minimum Spanning Tree Over Measure-Valued Vertices 最优多边际Schrödinger桥:最小生成树在测量值顶点
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-19 DOI: 10.1109/LCSYS.2025.3634944
Georgiy A. Bondar;Abhishek Halder
The Multimarginal Schrödinger Bridge (MSB) finds the optimal coupling among a collection of random vectors with known statistics and a known correlation structure. In the MSB formulation, this correlation structure is specified a priori as an undirected connected graph with measure-valued vertices. In this letter, we formulate and solve the problem of finding the optimal MSB in the sense we seek the optimal coupling over all possible graph structures. We find that computing the optimal MSB amounts to solving the minimum spanning tree problem over measure-valued vertices. We show that the resulting problem can be solved in two steps. The first step constructs a complete graph with edge weight equal to a sum of the optimal value of the corresponding bimarginal SB and the entropies of the endpoints. The second step solves a minimum spanning tree problem over that weighted graph. Numerical experiments illustrate the proposed solution.
Multimarginal Bridge (MSB)找到具有已知统计量和已知相关结构的随机向量集合之间的最优耦合。在MSB公式中,这种关联结构被先验地指定为具有测量值顶点的无向连接图。在这封信中,我们制定并解决了寻找最优MSB的问题,在某种意义上,我们寻求所有可能的图结构的最优耦合。我们发现计算最优MSB相当于解决测量值顶点上的最小生成树问题。我们表明,由此产生的问题可以分两步解决。第一步构造一个完全图,其边权等于相应的双边SB的最优值与端点的熵的和。第二步解决加权图上的最小生成树问题。数值实验验证了所提出的解决方案。
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引用次数: 0
Output Feedback Quantized Tracking Control for a Class of Nonlinear Systems With Sensor Failures 一类传感器失效非线性系统的输出反馈量化跟踪控制
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-19 DOI: 10.1109/LCSYS.2025.3635516
Hanfeng Li;Min Li
The primary objective of this letter is to develop an adaptive output feedback quantized control scheme for strict-feedback nonlinear systems. Three technical challenges must be overcome in addressing this problem. First, it is necessary to compensate for the unknown parameter associated with sensor failures, but the existing compensating method is applicable only within the backstepping framework, which complicates the overall design process. Second, sensor failures lead to only corrupted output being available and prevent the observer and controller from utilizing the true system output. Third, the nature of input quantization renders the actual controller discontinuous, which unavoidably introduces an undesirable quantization error and thus poses a challenge in mitigating its effect. To circumvent these difficulties, this letter establishes a new compensation scheme and a transformation of the control signal to address the effects of sensor failures and input quantization. A concise dynamic gain approach is proposed to construct a novel adaptive observer by using only the corrupted output signal. It is shown that, with the derived output feedback quantized controller, all closed-loop signals are bounded and the tracking error converges to an adjustable region. Two simulation examples are presented to demonstrate the effectiveness of the proposed scheme.
本文的主要目的是为严格反馈非线性系统开发一种自适应输出反馈量化控制方案。要解决这一问题,必须克服三个技术挑战。首先,需要对与传感器故障相关的未知参数进行补偿,但现有的补偿方法仅适用于退步框架,使整体设计过程复杂化。其次,传感器故障导致只有损坏的输出可用,并阻止观测器和控制器利用真实的系统输出。第三,输入量化的性质使得实际控制器不连续,这不可避免地引入了不希望的量化误差,从而对减轻其影响提出了挑战。为了克服这些困难,本文建立了一种新的补偿方案和控制信号的转换,以解决传感器故障和输入量化的影响。提出了一种简明的动态增益方法,仅利用损坏的输出信号构建一种新的自适应观测器。结果表明,在导出的输出反馈量化控制器下,所有闭环信号都是有界的,跟踪误差收敛到一个可调区域。通过两个仿真实例验证了该方法的有效性。
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引用次数: 0
Dynamic Control Allocation for Nonlinear Systems via a Sensitivity Approach 基于灵敏度方法的非线性系统动态控制分配
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-17 DOI: 10.1109/LCSYS.2025.3633369
S. Akbari;S. Galeani;G. Manca;M. Sassano
The objective of this letter is to develop a dynamic control allocation framework for nonlinear systems subject to periodic exogenous signals. The proposed approach combines gradient-based optimization with parameter-dependent sensitivity dynamics, enabling an extension of control allocation beyond conventional strategies, tailored to constant references and instantaneous costs; this methodology systematically addresses periodic reference trajectories and integral cost functionals, while preserving the desirable property of output invisibility, similarly to the linear settings. The proposed technique is implemented and validated on a nonlinear mechanical system.
这封信的目的是为受周期性外生信号影响的非线性系统开发一个动态控制分配框架。所提出的方法将基于梯度的优化与参数依赖的灵敏度动力学相结合,使控制分配的扩展超出了常规策略,可以根据恒定的参考和瞬时成本进行定制;该方法系统地处理周期参考轨迹和积分成本函数,同时保留输出不可见性的理想特性,类似于线性设置。该方法在一个非线性机械系统上进行了实现和验证。
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引用次数: 0
Robust Position Tracking Control of Electro-Hydraulic Actuators: Elimination of Velocity Measurements 电液执行器的鲁棒位置跟踪控制:消除速度测量
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-11-17 DOI: 10.1109/LCSYS.2025.3633925
Sule Taskingollu;Alper Bayrak;Erman Selim;Enver Tatlicioglu;Erkan Zergeroglu
This letter presents a robust backstepping type controller formulation for the position tracking control of engineering systems actuated via electro-hydraulic actuators (EHAs). Specifically, a robust controller that does not require accurate knowledge of the system parameters and uses only position measurements is proposed. A filtered based approach is applied to remove the velocity dependency of the controller formulation. Stability of the closed loop system and the uniform boundedness of the tracking error signals are ensured via Lyapunov based arguments. The overall performance of the proposed method is illustrated, initially through physics-based MATLAB/Simscape studies, and then experimentally on a 1 degree of freedom (dof) EHA test-bed and a 2 dof robotic arm.
本文提出了一种鲁棒反步式控制器公式,用于通过电液致动器(EHAs)驱动的工程系统的位置跟踪控制。具体而言,提出了一种不需要精确了解系统参数并仅使用位置测量的鲁棒控制器。采用基于滤波的方法去除控制器公式的速度依赖性。通过基于李亚普诺夫的参数保证了闭环系统的稳定性和跟踪误差信号的一致有界性。首先通过基于物理的MATLAB/Simscape研究说明了所提出方法的总体性能,然后在1自由度EHA试验台和2自由度机械臂上进行了实验。
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引用次数: 0
期刊
IEEE Control Systems Letters
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