2025

最新文章

• Robustly Learning Regions of Attraction From Fixed Data AI翻译
  作者：Tacchi, Matteo; Lian, Yingzhao; Jones, Colin N.
  作者单位：Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); Huawei Technologies; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
  摘要：While stability analysis is a mainstay for control science, especially computing regions of attraction of equilibrium points, until recently most stability analysis tools always required explicit knowledge of the model or a high-fidelity simulator representing the system at hand. In this work, a new data-driven Lyapunov analysis framework is proposed. Without using the model or its simulator, the proposed approach can learn a piecewise affine Lyapunov function with a finite and fixed offline d...
• New Approach to Feedback Stabilization of Linear Discrete Time-Varying Stochastic Systems AI翻译
  作者：Zhang, Tianliang; Xu, Shengyuan; Zhang, Weihai
  作者单位：Qingdao University of Technology; Nanjing University of Science & Technology; Nanjing University of Science & Technology; Shandong University of Science & Technology
  摘要：This article investigates uniform finite-time stabilization, mean square uniform stabilization, and mean square uniform asymptotic/exponential stabilization of linear discrete time-varying stochastic (LDTVS) systems. A new state transition matrix (STM) method is first used to study the feedback stabilization problem of LDTVS systems. Based on the STM method, necessary and sufficient conditions for the above concerned feedback stabilization issues are, respectively, presented in terms of STMs a...
• Navigation Functions on 3-Manifold With Boundary as a Disjoint Union of Hopf Tori AI翻译
  作者：Liu, Yueyang; Hu, Qinglei; Feng, Gang
  作者单位：Beihang University; City University of Hong Kong
  摘要：This article concerns the construction of a scalar valued analytic map, which we term as the navigation function, on three-manifold with boundary as a disjoint union of Hopf tori. Although it is well known that the existence of smooth navigation functions is guaranteed on any smooth manifold, the exact form of the navigation function on three-manifold with a disjoint union of Hopf tori as its boundary is yet to be explored. To bridge this gap, we propose a novel scalar map on the specified man...
• An Inner Approximation Algorithm for Dynamic Optimization With Strict Satisfaction of Path Constraints AI翻译
  作者：Fu, Jun; Jiang, Lizhong
  作者单位：Northeastern University - China
  摘要：An inner approximation algorithm is proposed for path-constrained dynamic optimization (PCDO) by iteratively solving restrictions of PCDO (RPCDO). First, an upper bound function of the path constraint is designed based on interval analysis theory, which is utilized to construct RPCDO. Second, the algorithm is proposed based on iteratively approximating PCDO by dividing either all the time subintervals if RPCDO is infeasible or the active time subintervals if its solution does not satisfy the k...
• A Successive Convexification Approach for Robust Receding Horizon Control AI翻译
  作者：Lishkova, Yana; Cannon, Mark
  作者单位：University of Oxford
  摘要：A novel robust nonlinear model predictive control strategy is proposed for systems with nonlinear dynamics and convex state and control constraints. Using a sequential convex approximation approach and a difference of convex functions representation, the scheme constructs tubes that contain predicted model trajectories, accounting for approximation errors and disturbances, and guaranteeing constraint satisfaction. An optimal control problem is solved as a sequence of convex programs. We develo...
• Distributed Kalman Filter With Ultimately Accurate Fused Measurement Covariance AI翻译
  作者：Yang, Tuo; Qian, Jiachen; Duan, Zhisheng; Sun, Zhiyong
  作者单位：Peking University
  摘要：This article investigates the distributed Kalman filter (DKF) for linear systems, with specific attention on measurement fusion, which is a typical way of information sharing and is vital for enhancing stability and improving estimation accuracy. We show that it is the mismatch between the fused measurement and the fused covariance that leads to performance degradation or inconsistency in previous consensus-based DKF algorithms. To address this issue, we introduce two fully distributed approac...
• On the Stability, Economic Efficiency, and Incentive Compatibility of Electricity Market Dynamics AI翻译
  作者：You, Pengcheng; Jiang, Yan; Yeung, Enoch; Gayme, Dennice F.; Mallada, Enrique
  作者单位：Peking University; The Chinese University of Hong Kong, Shenzhen; University of California System; University of California Santa Barbara; Johns Hopkins University
  摘要：This article studies the operation of an electricity market that accounts for participants who bid at a subminute timescale. To that end, we model the market clearing process as a dynamical system, called market dynamics, which is temporally coupled with the grid frequency dynamics and is thus required to guarantee system-wide stability while meeting operational constraints. We characterize participants as price-takers who rationally update their bids to maximize their utility in response to r...
• Hybrid Path-Lifting Algorithm and Equivalence of Stability Results for MRP-Based Control Strategies AI翻译
  作者：Martins, Luis; Cardeira, Carlos; Oliveira, Paulo
  作者单位：Universidade de Lisboa; Universidade de Coimbra; Universidade de Lisboa
  摘要：This article proposes an innovative hybrid dynamic mechanism to uniquely and robustly lift a path from the 3-D special orthogonal group to the modified Rodrigues parameters (MRP) space. The path-lifting mechanism leverages the unique properties of the MRP representation and is crucial for developing a novel framework for the equivalence of stability results between these topological spaces. The new hybrid methodology allows the design and analysis of an attitude feedback controller in the topo...
• Distributed Online Convex Optimization With Time-Varying Constraints: Tighter Cumulative Constraint Violation Bounds Under Slater's Condition AI翻译
  作者：Yi, Xinlei; Li, Xiuxian; Yang, Tao; Xie, Lihua; Hong, Yiguang; Chai, Tianyou; Johansson, Karl H.
  作者单位：Tongji University; Massachusetts Institute of Technology (MIT); Northeastern University - China; Nanyang Technological University; Royal Institute of Technology
  摘要：This article considers distributed online convex optimization with time-varying constraints. In this setting, a network of agents makes decisions at each round, and then, only a portion of the loss function and a coordinate block of the constraint function are privately revealed to each agent. The loss and constraint functions are convex and can vary arbitrarily across rounds. The agents collaborate to minimize static network regret and network cumulative constraint violation. A novel distribu...
• Symbiotic Control of Uncertain Dynamical Systems: Harnessing Synergy Between Fixed-Gain Control and Adaptive Learning Architectures AI翻译
  作者：Yucelen, Tansel; Sarsilmaz, Selahattin Burak; Yildirim, Emre
  作者单位：State University System of Florida; University of South Florida; State University System of Florida; University of South Florida; Utah System of Higher Education; Utah State University
  摘要：Both fixed-gain control and adaptive learning architectures aim to mitigate the effects of uncertainties. In particular, fixed-gain control offers more predictable closed-loop system behavior but requires the knowledge of uncertainty bounds. In contrast, while adaptive learning does not necessarily require such knowledge, it often results in less predictable closed-loop system behavior compared to fixed-gain control. To this end, this article presents a novel symbiotic control framework that o...