-
作者:Gomez, Marco A.; Cruz-Ancona, Christopher D.; Fridman, Leonid
作者单位:Universidad de Guanajuato; Universidad Nacional Autonoma de Mexico
摘要:We present a new continuous Lyapunov redesign (LR) methodology for the robust stabilization of a class of uncertain time-delay systems that is based on the so-called super twisting algorithm. The main feature of the proposed approach is that allows one to simultaneously adjust the chattering effect and achieve asymptotic stabilization of the uncertain system, which is lost when continuous approximation of the unit control is considered. At the basis of the super twisting based LR methodology i...
-
作者:Sarkka, Simo; Garcia-Fernandez, Angel F.
作者单位:Aalto University; University of Liverpool
摘要:This article proposes a general formulation for temporal parallelization of dynamic programming for optimal control problems. We derive the elements and associative operators to be able to use parallel scans to solve these problems with logarithmic time complexity rather than linear time complexity. We apply this methodology to problems with finite state and control spaces, linear quadratic tracking control problems, and to a class of nonlinear control problems. The computational benefits of t...
-
作者:Wang, Le Yi; Yin, George; Lin, Feng; Polis, Michael P.; Chen, Wen
作者单位:Wayne State University; University of Connecticut; Oakland University; Wayne State University
摘要:This article investigates observability and observer design for randomly switched linear systems (RSLSs) whose subsystems are all unobservable. Conditions for determining the analog state uniquely during operation, defined as stochastic observability, are studied. This article establishes probabilistic descriptions of stochastic observability for fast switching RSLSs. Design methods for subsystem observers and their organization for estimating the entire state are introduced. Convergence prope...
-
作者:Andrade, Francisco; Figueiredo, Mario A. T.; Xavier, Joao
作者单位:Universidade de Lisboa; Instituto de Telecomunicacoes; Universidade de Lisboa; Universidade de Coimbra
摘要:The Banach-Picard iteration is widely used to find fixed points of locally contractive (LC) maps. This article extends the Banach-Picard iteration to distributed settings; specifically, we assume the map of which the fixed point is sought to be the average of individual (not necessarily LC) maps held by a set of agents linked by a communication network. An additional difficulty is that the LC map is not assumed to come from an underlying optimization problem, which prevents exploiting strong g...
-
作者:Chen, Liangming; Sun, Zhiyong
作者单位:Nanyang Technological University; Eindhoven University of Technology
摘要:The global stabilization of planar angle rigid formations is acknowledged to be a challenging problem in the existing literature even when relative position measurements are available among neighboring agents. Inspired by an angle-induced linear constraint imposed on each triangle, this article first proposes formation control laws to achieve almost global stabilization of triangularly angle rigid formations using local relative position measurements. Compared with some other globally stable f...
-
作者:Guo, Zongyi; Oliveira, Tiago Roux; Guo, Jianguo; Wang, Zheng
作者单位:Northwestern Polytechnical University; Universidade do Estado do Rio de Janeiro; Northwestern Polytechnical University
摘要:This article presents a performance-guaranteed ad- aptive asymptotic tracking control scheme for a class of nonlinear systems with unknown sign-switching control direction. By introducing the periodic sliding mode technique and equivalent control- based adaptive mechanism, the proposed control approach ensures that the sliding mode surface is reached in finite time, and thus, the asymptotic stability is achieved rather than only signals boundedness. Simultaneously, the tracking performance is ...
-
作者:Peng, Shanshan; Zhang, Jinxing; Zhu, Jiandong; Lu, Jianquan; Li, Xiaodi
作者单位:Southeast University - China; Shandong Normal University; Nanjing Normal University
摘要:For a high-dimensional Kuramoto model with identical oscillators under a general digraph that has a directed spanning tree, although the exponential synchronization has been proved under some initial state constraints, exponential synchronization rates have not been described exactly until now. In this article, the supremum of exponential synchronization rates is precisely determined as the smallest real part of the nonzero Laplacian eigenvalues of the digraph. Our obtained result extends the ...
-
作者:Yaghmaie, Farnaz Adib; Gustafsson, Fredrik; Ljung, Lennart
作者单位:Linkoping University
摘要:In this article, we consider linear quadratic (LQ) control problem with process and measurement noises. We analyze the LQ problem in terms of the average cost and the structure of the value function. We assume that the dynamics of the linear system is unknown and only noisy measurements of the state variable are available. Using noisy measurements of the state variable, we propose two model-free iterative algorithms to solve the LQ problem. The proposed algorithms are variants of policy iterat...
-
作者:Dastjerdi, Ali Ahmadi; Astolfi, Alessandro; Saikumar, Niranjan; Karbasizadeh, Nima; Valerio, Duarte; HosseinNia, S. Hassan
作者单位:Delft University of Technology; Imperial College London; University of Rome Tor Vergata; Universidade de Lisboa
摘要:This article introduces a closed-loop frequency analysis tool for reset control systems. To begin with sufficient conditions for the existence of the steady-state response for a closed-loop system with a reset element and driven by periodic references are provided. It is then shown that, under specific conditions, such a steady-state response for periodic inputs is periodic with the same period as the input. Furthermore, a framework to obtain the steady-state response and to define a notion of...
-
作者:Mi, Wen; Luo, Li; Zhong, Shouming
作者单位:University of Electronic Science & Technology of China
摘要:In this article, we investigate the control strategy of fixed-time leader-following consensus for chained-form systems with matched disturbances. A new decentralized observer is designed under a directed topology to estimate the leader state in a fixed time for each follower. Then, a novel control protocol is developed to track the estimated leader state in a prescribed finite time. Different from existing results, the bound we derive for the setting time does not depend on the initial conditi...