-
作者：Von Moll, Alexander; Pachter, Meir; Shishika, Daigo; Fuchs, Zachariah
作者单位：United States Department of Defense; United States Air Force; University System of Ohio; University of Cincinnati; United States Department of Defense; United States Air Force; Air Force Institute of Technology (AFIT); George Mason University; University System of Ohio; University of Cincinnati
摘要：In this article, the problem of guarding a circular target wherein the Defender(s) is constrained to move along its perimeter is posed and solved using a differential game theoretic approach. Both the one-Defender and two Defender scenarios are analyzed and solved. The mobile Attacker seeks to reach the perimeter of the circular target, whereas the Defender(s) seeks to align itself with the Attacker, thereby ending the game. In the former case, the Attacker-wins, and the Attacker and Defender ...
-
作者：Gharbi, Meriem; Gharesifard, Bahman; Ebenbauer, Christian
作者单位：RWTH Aachen University; University of California System; University of California Los Angeles
摘要：In this article, we address the efficient implementation of moving horizon state estimation of constrained discrete-time linear systems. We propose a novel iteration scheme that employs a proximity-based formulation of the underlying optimization algorithm and reduces computational effort by performing only a limited number of optimization iterations each time a new measurement is received. We outline conditions under which global exponential stability of the underlying estimation errors is en...
-
作者：van Goor, Pieter; Hamel, Tarek; Mahony, Robert
作者单位：Australian National University; Centre National de la Recherche Scientifique (CNRS); Universite Cote d'Azur
摘要：The kinematics of many systems encountered in robotics, mechatronics, and avionics are naturally posed on homogeneous spaces; i.e., their state lies in a smooth manifold equipped with a transitive Lie group symmetry. This article proposes a novel filter, the equivariant filter (EqF), by posing the observer state on the symmetry group, linearizing global error dynamics derived from the equivariance of the system, and applying EKF design principles. We show that equivariance of the system output...
-
作者：Jedra, Yassir; Proutiere, Alexandre
作者单位：Royal Institute of Technology
摘要：We investigate the linear system identification problem in the so-called fixed budget and fixed confidence settings. In the fixed budget setting, the learner aims at estimating the state transition matrix A from a random system trajectory of fixed length, whereas in the fixed confidence setting, the learner also controls the length of the observed trajectory - she can stop when she believes that enough information has been gathered. For both settings, we analyze the sample complexity in the pr...
-
作者：Hou, Baoyu
作者单位：Qingdao University
摘要：on temporally switching networks, this article studies the qualitative and quantitative influences of time parameters on network controllability. In particular, this article presents a necessary and sufficient condition under which the network controllability must take into account time parameters. For the time parameters that never participate in determining network controllability, a more concise expression of controllability criterion is derived. From the perspective of input matrix formula...
-
作者：Meng, Deyuan
作者单位：Beihang University; Beihang University
摘要：The control approaches generally resort to the tools from the mathematics, but whether and how the mathematics can benefit from the control approaches is unclear. This article aims to bring the control design idea into the mathematics by providing an observer-based iterative method that focuses on solving linear algebraic equations (LAEs). An inherent relationship is revealed between the problem-solving of LAEs and the design of observer-based control systems, with which the iterative method f...
-
作者：Yan, Jiaqi; Yang, Xu; Mo, Yilin; You, Keyou
作者单位：Tsinghua University
摘要：This article studies the distributed state estimation in sensor network, where m sensors are deployed to infer the n-dimensional state of a linear time-invariant Gaussian system. By a lossless decomposition of the optimal steady-state Kalman filter, we show that the problem of distributed estimation can be reformulated as that of the synchronization of homogeneous linear systems. Based on such decomposition, a distributed estimator is proposed, where each sensor node runs a local filter using ...
-
作者：Li, Yifeng; Zhu, Jiandong
作者单位：Chongqing Normal University; Nanjing Normal University
摘要：This article investigates the observability decomposition of Boolean control networks (BCNs) under the algebraic frame based on the semitensor product of matrices. First, the definition for the observability decomposition of BCNs is proposed, which is consistent with the observability decomposition of traditional linear control systems. Then, by using the vertex partition method, a necessary and sufficient vertex partition condition for the observability decomposition of BCNs is proposed. Next...
-
作者：Xu, Feng
作者单位：Tsinghua University
摘要：This article aims to compute guaranteed minimal detectable and isolable faults of set-based active fault diagnosis methods for discrete linear time-invariant systems. First, guaranteed detectable and isolable faults of set-based active fault diagnosis methods are defined in this article. Second, an augmented vector is defined to integrate the effect of both inputs and faults such that the couplings of inputs and faults can be handled effectively. Third, guaranteed minimal detectable and isolab...
-
作者：Zheng, Shiqi; Shi, Peng; Zhang, Huiyan
作者单位：China University of Geosciences; University of Adelaide; Chongqing Technology & Business University
摘要：This study focuses on periodic event-triggered (PET) cooperative output regulation problem for a class of nonlinear multiagent systems. The key feature of PET mechanism is that event-triggered conditions are required to be monitored only periodically. This approach is beneficial for Zeno behavior exclusion and saving of battery energy of onboard sensors. At first, new PET distributed observers are proposed to estimate the leader information. We show that the estimation error converges to zero ...
