3期

最新文章

• Wasserstein Proximal Algorithms for the Schrodinger Bridge Problem: Density Control With Nonlinear Drift AI翻译
  作者：Caluya, Kenneth F.; Halder, Abhishek
  作者单位：University of California System; University of California Santa Cruz
  摘要：In this article, we study the Schrodinger bridge problem (SBP) with nonlinear prior dynamics. In control-theoretic language, this is a problem of minimum effort steering of a given joint state probability density function (PDF) to another over a finite-time horizon, subject to a controlled stochastic differential evolution of the state vector. As such, it can be seen as a stochastic optimal control problem in continuous time with endpoint density constraints-A topic that originated in the phys...
• Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation AI翻译
  作者：Liu, Jun-Jun; Guo, Bao-Zhu
  作者单位：Taiyuan University of Technology; North China Electric Power University; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS
  摘要：In this article, we consider robust output tracking for a Schrodinger equation with external disturbances in all possible channels. The challenge of the problem comes from the fact that the observation operator is unbounded and the regulated output and the control are noncollocated. An observer-based approach is adopted in investigation. We first select specially some coefficients of the disturbances to obtain a nominal system, which is a coupled PDE+ODE system. For this nominal system, we des...
• Delay Robustness of PID Control of Second-Order Systems: Pseudoconcavity, Exact Delay Margin, and Performance Tradeoff AI翻译
  作者：Chen, Jianqi; Ma, Dan; Xu, Yong; Chen, Jie
  作者单位：City University of Hong Kong; Northeastern University - China; Guangdong University of Technology
  摘要：In this article, we study delay robustness of PID controllers in stabilizing systems containing uncertain delays. We consider second-order systems and seek analytical characterization and exact computation of the PID delay margin, where by PID delay margin we mean the maximal range of delay values within which the system can be robustly stabilized by a PID controller. Our primary contribution is threefold. First, we show that the delay margin achieved by PID control coincides with that by PD c...
• Distributed Online Optimization With Long-Term Constraints AI翻译
  作者：Yuan, Deming; Proutiere, Alexandre; Shi, Guodong
  作者单位：Nanjing University of Science & Technology; Royal Institute of Technology; University of Sydney
  摘要：In this article, we consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained vector, experiences a loss equal to an arbitrary convex function evaluated at this vector, and may communicate to its neighbors in the graph. The objective is to minimize the system-wide loss accumulated over time. We propose a decentralize...
• Robust Cooperative Output Regulation of Heterogeneous Uncertain Linear Multiagent Systems With Unbounded Distributed Transmission Delays AI翻译
  作者：Bi, Cong; Xu, Xiang; Liu, Lu; Feng, Gang
  作者单位：City University of Hong Kong
  摘要：This article studies the robust cooperative output regulation problem of heterogeneous uncertain linear multiagent systems under unbounded distributed transmission delays. A novel distributed observer is first proposed to estimate the state of an exosystem in the presence of unbounded distributed transmission delays. Then, two novel distributed controllers, one based on state feedback and the other based on output feedback, are further developed without any prior knowledge of the unbounded tra...
• Simple Tests for Uniform Exponential Stability of a Linear Delayed Vector Differential Equation AI翻译
  作者：Berezansky, Leonid; Diblik, Josef; Svoboda, Zdenek; Smarda, Zdenek
  作者单位：Ben-Gurion University of the Negev; Brno University of Technology
  摘要：A linear delayed vector equation (x) over dot(t) = Sigma(m)(k=1) A(k)(t)x(h(k)(t)), t is an element of [0,infinity) is investigated, where x = (x(1), ... , x(n))T is an unknown vector function. The system is considered in the most general setting and under weak assumptions about the entries of matrices A(k) and delays h(k). The main result on uniform exponential stability is universal in the sense that it generates a set of 2(m) - 1 independent explicit statements (that can depend on all delay...
• Stabilization and H2 Static Output-Feedback Control of Discrete-Time Positive Linear Systems AI翻译
  作者：Spagolla, Amanda; Morais, Cecilia F.; Oliveira, Ricardo C. L. F.; Peres, Pedro L. D.
  作者单位：Universidade Estadual de Campinas; Pontificia Universidade Catolica de Campinas
  摘要：This article investigates the problem of designing H-2 robust (or gain-scheduled) static output-feedback (or state-feedback) controllers for discrete-time positive linear systems affected by time-invariant (or time-varying) parameters belonging to a polytope. For this purpose, an iterative procedure based on robust (parameter-dependent) linear matrix inequalities (LMI) is proposed. Unlike most approaches, where the controller is obtained by means of a change of variables, the synthesis conditi...
• Stochastic Multi-object Guidance Laws for Interception and Rendezvous Problems AI翻译
  作者：Clark, Daniel E.
  作者单位：IMT - Institut Mines-Telecom; Institut Polytechnique de Paris; Telecom SudParis
  摘要：This article considers the problem of guiding an unknown number of controllable interceptors to rendezvous with the same target at the same time. It is assumed that the all of the interceptors and the target are described by linear dynamics with Gaussian noise, though the theory presented does not preclude more general models. This article extends the work of Athans to consider a scenario, where the number of interceptors is unknown and time-varying. In particular, the focus is on the developm...
• Cone-Copositive Lyapunov Functions for Complementarity Systems: Converse Result and Polynomial Approximation AI翻译
  作者：Souaiby, Marianne; Tanwani, Aneel; Henrion, Didier
  作者单位：Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS); Czech Technical University Prague
  摘要：This article establishes the existence of Lyapunov functions for analyzing the stability of a class of state-constrained systems, and it describes algorithms for their numerical computation. The system model consists of a differential equation coupled with a set-valued relation that introduces discontinuities in the vector field at the boundaries of the constraint set. In particular, the set-valued relation is described by the subdifferential of the indicator function of a closed convex cone, ...
• Backstepping-Based Decentralized Fault-Tolerant Control of Hypersonic Vehicles in PDE-ODE Form AI翻译
  作者：Zhao, Dong; Jiang, Bin; Yang, Hao
  作者单位：Nanjing University of Aeronautics & Astronautics
  摘要：This article develops a decentralized actuator fault compensation scheme for hypersonic vehicles, using a model transform based backstepping control design. Different from the actuator dynamics represented by second-order ordinary differential equations (ODE) studied in the existing literature, a new actuator dynamics is studied in this article, modeled by a fourth-order partial differential equation (PDE), i.e., Euler-Bernoulli beam (EBB) equation. An invertible model transformation is introd...