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Data-Driven Balancing Formulation for Linear Systems With Quadratic Outputs 二次输出线性系统的数据驱动平衡公式
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-10 DOI: 10.1109/LCSYS.2025.3642487
Reetish Padhi;Ion Victor Gosea;Igor Pontes Duff;Serkan Gugercin
We develop the theoretical formulation for a non-intrusive, quadrature-based method for approximate balanced truncation (QuadBT) of linear systems with quadratic outputs, thus extending the applicability of QuadBT, which was originally designed for data-driven balanced truncation of standard linear systems with linear outputs only. The new approach makes use of the time-domain and frequency-domain quadrature-based representation of the system’s infinite Gramians, only implicitly. We show that by sampling solely the extended impulse responses (kernels) of the original system and their derivatives (or the corresponding transfer functions), we construct a reduced-order model that mimics the approximation quality of the intrusive (projection-based) balanced truncation. Although the sampling of the required kernels via input/output simulations or physical experiments is still an open question, we demonstrate a proof of concept for the proposed framework on an example using numerically evaluated data.
我们为具有二次输出的线性系统的近似平衡截断(QuadBT)的非侵入式,基于正交的方法开发了理论公式,从而扩展了QuadBT的适用性,该方法最初是为仅具有线性输出的标准线性系统的数据驱动平衡截断而设计的。新方法仅隐式地利用了系统无限格拉姆函数的时域和频域正交表示。我们表明,通过对原始系统及其导数(或相应的传递函数)的扩展脉冲响应(核)进行单独采样,我们构建了一个模拟侵入式(基于投影的)平衡截断的近似质量的降阶模型。尽管通过输入/输出模拟或物理实验对所需的核进行采样仍然是一个悬而未决的问题,但我们使用数值评估的数据在一个示例上演示了所提出框架的概念证明。
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引用次数: 0
Existence and Uniqueness of the Solution to a Class of Fredholm Integral Equations Related to Difference Equations 一类与差分方程相关的Fredholm积分方程解的存在唯一性
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-10 DOI: 10.1109/LCSYS.2025.3642769
Delphine Bresch-Pietri;Jean Auriol
This letter addresses the existence and uniqueness of the solution to a class of Fredholm integral equations associated with scalar Linear Integral Delay Equations (LIDEs). Based on an operator-theoretic framework involving transport partial differential equations, we provide general conditions that guarantee well-posedness of these equations. Leveraging this result, we introduce a constructive approach for the numerical computation of the Lyapunov matrix corresponding to scalar LIDEs with commensurate delays. Specifically, the Lyapunov matrix equations are reformulated as the Fredholm integral equation under consideration, for which the proposed conditions are satisfied under exponential stability of the LIDE. The resulting integral equation can then be discretized, and the linear system solved to efficiently compute the Delay Lyapunov matrix. Numerical examples illustrate the effectiveness and applicability of this methodology.
本文讨论了一类与标量线性积分延迟方程(LIDEs)相关的Fredholm积分方程解的存在唯一性。基于一个涉及输运偏微分方程的算子理论框架,我们给出了保证这些方程适定性的一般条件。利用这一结果,我们引入了具有相应延迟的标量LIDEs对应的Lyapunov矩阵的数值计算的建设性方法。具体而言,将Lyapunov矩阵方程重新表述为考虑的Fredholm积分方程,该方程在LIDE的指数稳定性下满足所提出的条件。然后将得到的积分方程离散化,求解线性系统以有效地计算延迟李雅普诺夫矩阵。数值算例说明了该方法的有效性和适用性。
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引用次数: 0
Trajectory Tracking With Reachability-Guided Quadratic Programming and Freeze-Resume 基于可达性引导的二次规划和冻结恢复的轨迹跟踪
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-10 DOI: 10.1109/LCSYS.2025.3642222
Hossein Gholampour;Logan E. Beaver
Many robotic systems must follow planned paths yet pause safely and resume when people or objects intervene. We present an output–space method for systems whose tracked output can be feedback-linearized to a double integrator (e.g., manipulators). The approach has two parts. Offline, we perform a pre-run reachability check to verify that the motion plan respects speed and acceleration magnitude limits. Online, we apply a quadratic program to track the motion plan under the same limits. We use a one-step reachability test to bound the maximum disturbance the system is capable of rejecting. When the state coincides with the reference path we recover perfect tracking in the deterministic case, and we correct errors using a KKT-inspired weight. We demonstrate that safety stops and unplanned deviations are handled efficiently, and the system returns to the motion plan without replanning. We demonstrate our system’s improved performance over pure pursuit in simulation.
许多机器人系统必须遵循计划的路径,但必须安全暂停,并在有人或物体干预时重新开始。我们提出了一种输出空间方法,用于跟踪输出可以反馈线性化到双积分器(例如,机械手)的系统。该方法包括两个部分。离线时,我们执行预运行可达性检查,以验证运动计划是否符合速度和加速度量级限制。在线上,我们应用二次规划来跟踪相同限制下的运动计划。我们使用一步可达性测试来确定系统能够抵抗的最大干扰。当状态与参考路径重合时,我们在确定性情况下恢复完美跟踪,并使用kkt启发的权重来纠正错误。我们证明了安全停车和计划外偏差的有效处理,系统无需重新规划即可返回运动计划。我们在仿真中证明了我们的系统比纯追踪系统的性能有所提高。
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引用次数: 0
Goal-Reaching Control Synthesis for Neural Network Control Systems via Backward Reachability 基于后向可达性的神经网络控制系统的目标控制综合
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-09 DOI: 10.1109/LCSYS.2025.3641995
Hang Zhang;Abigail J. Winn;Yuhao Zhang;Xiangru Xu
This letter investigates goal-reaching control synthesis for neural network control systems. A backward reachability framework is developed based on constrained zonotopes, in which the graph set of a ReLU-activated feedforward neural network is encoded as a finite union of constrained zonotopes. Using this representation, under-approximations of backward reachable sets are computed for systems with nonlinear plant models, ensuring the feasibility of the goal-reaching task. Control sequences are then synthesized through an optimization procedure that exploits the under-approximated set. A numerical example demonstrates the effectiveness of the proposed approach.
本文研究神经网络控制系统的可达目标控制综合。提出了一种基于约束带拓扑的后向可达性框架,将relu激活的前馈神经网络的图集编码为约束带拓扑的有限并。利用这种表示,计算了具有非线性植物模型的系统的后向可达集的欠逼近,保证了目标到达任务的可行性。然后通过利用欠逼近集的优化程序合成控制序列。数值算例验证了该方法的有效性。
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引用次数: 0
A Linear Programming Framework for Optimal Event-Triggered LQG Control 最优事件触发LQG控制的线性规划框架
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-09 DOI: 10.1109/LCSYS.2025.3641989
Zahra Hashemi;Dipankar Maity
This letter explores intelligent scheduling of sensor-to-controller communication in networked control systems, particularly when data transmission incurs a cost. While the optimal controller in a standard linear-quadratic Gaussian (LQG) setup can be computed analytically, determining the optimal times to transmit sensor data remains computationally and analytically challenging. We show that, through reformulation and the introduction of auxiliary binary variables, the scheduling problem can be cast as a computationally efficient mixed-integer linear program (MILP). This formulation not only simplifies the analysis but also reveals structural insights and provides clear decision criterion at each step. Embedding the approach within a model predictive control (MPC) framework enables dynamic adaptation, and we prove that the resulting scheduler performs at least as well as any deterministic strategy (e.g., periodic strategy). Simulation results further demonstrate that our method consistently outperforms traditional periodic scheduling.
这封信探讨了网络控制系统中传感器到控制器通信的智能调度,特别是当数据传输产生成本时。虽然标准线性二次高斯(LQG)设置中的最优控制器可以解析计算,但确定传输传感器数据的最佳时间仍然是计算和分析上的挑战。我们证明,通过重新表述和引入辅助二进制变量,调度问题可以转化为计算效率高的混合整数线性规划(MILP)。该公式不仅简化了分析,而且揭示了结构性见解,并在每个步骤中提供了明确的决策标准。在模型预测控制(MPC)框架中嵌入该方法可以实现动态适应,并且我们证明了所得到的调度程序至少与任何确定性策略(例如,周期策略)执行得一样好。仿真结果进一步证明了该方法优于传统的周期调度方法。
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引用次数: 0
Robust Data-Driven Receding-Horizon Control for LQR With Input Constraints 具有输入约束的LQR鲁棒数据驱动水平后退控制
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-09 DOI: 10.1109/LCSYS.2025.3642051
Jian Zheng;Mario Sznaier
This letter presents a robust data-driven receding-horizon control framework for the discrete-time linear quadratic regulator (LQR) with input constraints. Unlike earlier data-driven approaches that design a controller from initial data and apply it unchanged throughout the trajectory, our method exploits all available execution data in a receding-horizon manner, thereby capturing additional information about the unknown system and enabling less conservative performance. Existing data-driven LQR model predictive control methods rely on over-approximations of the consistency set and $ell _{2}$ descriptions of noise. In contrast, the proposed approach uses exact descriptions of the consistency set under $ell _{infty }$ -bounded noise, leveraging duality to recast the problem into a tractable convex optimization. Further, the proposed controller renders the closed-loop system input-to-state stable. Simulation results demonstrate the effectiveness of the method.
本文提出了一个具有输入约束的离散时间线性二次型调节器(LQR)的鲁棒数据驱动的后退水平控制框架。与早期的数据驱动方法(从初始数据设计控制器并在整个轨迹中保持不变)不同,我们的方法以渐近的方式利用所有可用的执行数据,从而捕获有关未知系统的额外信息,并实现更少的保守性能。现有的数据驱动LQR模型预测控制方法依赖于一致性集的过逼近和$ell _{2}$噪声描述。相比之下,所提出的方法使用$ell _{infty }$有界噪声下一致性集的精确描述,利用对偶性将问题重新转换为可处理的凸优化。此外,所提出的控制器使闭环系统的输入到状态稳定。仿真结果验证了该方法的有效性。
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引用次数: 0
Log-Linear Learning for Coordination With Heterogeneous Bounded Rationalities 异构有界理性协调的对数线性学习
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-08 DOI: 10.1109/LCSYS.2025.3641882
Fat-Hy O. Rajab;Olugbenga M. Anubi;Marcos M. Vasconcelos
This letter investigates a two-player coordination game in which the players exhibit heterogeneous levels of bounded rationality. We analyze the log-linear learning dynamics where the probability distribution used to select which of the agents gets to revise its strategy is fixed but not necessarily uniform. The stationary distribution of the resulting Markov chain on the strategy profile space is derived in closed-form as a function of the rationalities and the agent selection probabilities. We proceed by showing that adjusting the selection probabilities can be used to bias the stationary distribution toward the potential-maximizing state. However, this optimization comes at the cost of a reduced convergence rate, whereas the uniform selection probabilities uniquely maximizes the convergence speed irrespective of the players’ rationality levels. A Pareto-optimal probability selection rule is proposed, trading-off the distributional bias with convergence rate. Moreover, it is shown that in coordination games, high levels of rationality sometimes accelerate convergence, whereas in other cases they may paradoxically hinder the convergence rate of log-linear learning dynamics.
这封信研究了一个两参与者的协调博弈,在这个博弈中,参与者表现出不同程度的有限理性。我们分析了对数线性学习动力学,其中用于选择哪一个智能体修改其策略的概率分布是固定的,但不一定是均匀的。得到了策略剖面空间上马尔可夫链的平稳分布,并以理性度和智能体选择概率的函数形式进行了封闭推导。我们进一步证明,调整选择概率可以使平稳分布偏向势能最大化状态。然而,这种优化是以降低收敛速度为代价的,而无论玩家的理性水平如何,统一选择概率都能最大限度地提高收敛速度。提出了一种帕累托最优概率选择规则,以平衡分布偏差和收敛速度。此外,研究表明,在协调博弈中,高水平的理性有时会加速收敛,而在其他情况下,它们可能会矛盾地阻碍对数线性学习动态的收敛速度。
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引用次数: 0
Exploiting Graph Convergence for Accelerated Optimization in Optimal Control of Large-Scale Networks 利用图收敛加速大规模网络最优控制中的优化
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-08 DOI: 10.1109/LCSYS.2025.3641880
Martin T. Köhler;Artemi Makarow;Christian Kirches
We exploit the convergence of graph sequences to some limit object, a graphon, to generate scalable initial estimates for optimal control of large-scale networks. We derive a state error bound under the assumptions of converging graph sequences and initial state functions and, given this bound, we propose an iterative scale-up approach to accelerate the time required for numerical solvers to reach the optimum. The idea is to scale up the optimal control solution for a network dynamical system and use it to initialize the optimal control problem for a larger structurally similar network system. The numerical results demonstrate a significant reduction of the number of optimization iterations and the optimization time for a nonlinear large-scale coupled network.
我们利用图序列收敛到某个极限对象,即图元,来生成大规模网络最优控制的可伸缩初始估计。我们在收敛图序列和初始状态函数的假设下推导了状态误差界,并给出了一个迭代放大方法来加速数值解算器达到最优所需的时间。其思想是将网络动态系统的最优控制解按比例放大,并用它来初始化结构相似的更大网络系统的最优控制问题。数值结果表明,该方法可显著减少大规模非线性耦合网络的优化迭代次数和优化时间。
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引用次数: 0
Guaranteed Privacy-Preserving Control of Discrete-Time Systems 离散时间系统的保隐私控制
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-08 DOI: 10.1109/LCSYS.2025.3641886
Mohammad Khajenejad
We introduce a guaranteed privacy-preserving controller for nonlinear discrete-time systems with bounded uncertainties. Moving beyond stochastic differential privacy, our design offers deterministic privacy through hard bounds on the proximity of set-valued estimates. The solution involves synthesizing a stabilizing controller for a perturbed framer system, where control gains and a privacy-inducing noise factor are co-optimized via semi-definite programming (SDP). This integrated approach ensures both input-to-s tate stable closed-loop dynamics and certified privacy. We also formalize the inherent performance-privacy trade-off by quantifying the accuracy loss due to privacy constraints. Simulations confirm that our method outperforms standard differential privacy techniques.
针对具有有界不确定性的非线性离散系统,提出了一种保隐私控制器。超越随机差分隐私,我们的设计通过集值估计的接近性的硬边界提供确定性隐私。该解决方案包括为摄动帧系统合成一个稳定控制器,其中控制增益和隐私诱导噪声因子通过半确定规划(SDP)共同优化。这种集成的方法确保了输入到状态稳定的闭环动态和认证的隐私。我们还通过量化由于隐私约束导致的准确性损失来形式化固有的性能-隐私权衡。仿真证实,我们的方法优于标准差分隐私技术。
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引用次数: 0
A Switched Adaptive Control Approach to Reduce Sensing Needs in Trajectory Tracking Problems 一种减少轨迹跟踪问题感知需求的切换自适应控制方法
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-12-08 DOI: 10.1109/LCSYS.2025.3641525
Muzaffar Qureshi;Tochukwu E. Ogri;Humberto Ramos;Wanjiku A. Makumi;Zachary I. Bell;Rushikesh Kamalapurkar
This letter considers an autonomous agent that intermittently acquires state measurements to maintain trajectory tracking performance. The objective is to minimize sensing needs by extending periods of sensor-denied operation. A Lyapunov-based adaptive switched systems approach is developed, where the agent uses the intermittently acquired state measurements to learn the system model. The learned system models are then used during sensor-denied intervals to extend their length while maintaining tracking performance. The design uses a modeling error-dependent bound on the duration of the sensor-denied intervals to progressively reduce sensing needs as the modeling error decreases. The effectiveness of the developed technique is verified in a simulation study.
这封信考虑了一个间歇性获取状态测量以保持轨迹跟踪性能的自主代理。目标是通过延长传感器拒绝操作的周期来最小化感知需求。提出了一种基于李雅普诺夫的自适应切换系统方法,其中智能体使用间歇性获取的状态测量来学习系统模型。然后在传感器拒绝间隔期间使用学习到的系统模型来延长其长度,同时保持跟踪性能。该设计在传感器拒绝间隔的持续时间上使用建模误差相关的边界,随着建模误差的减少,逐渐减少传感需求。仿真研究验证了该方法的有效性。
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引用次数: 0
期刊
IEEE Control Systems Letters
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