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Autonomous system (mathematics)

About: Autonomous system (mathematics) is a research topic. Over the lifetime, 1648 publications have been published within this topic receiving 38373 citations.


Papers
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Journal ArticleDOI
TL;DR: In this paper, a 4D smooth quadratic autonomous chaotic system is presented, which can present periodic orbit, chaos, and hyper-chaos under the conditions on different parameters.
Abstract: This paper presents a new four-dimensional (4-D) smooth quadratic autonomous chaotic system, which can present periodic orbit, chaos, and hyper-chaos under the conditions on different parameters. Importantly, the system can generate a four-wing hyper-chaotic attractor and a pair of coexistent double-wing hyper-chaotic attractors with two symmetrical initial conditions. Furthermore, a four-wing transient chaos occurs in the system. The dynamic analysis approach- in the paper involves time series, phase portraits, Poincare maps, bifurcation diagrams, and Lyapunov exponents, to investigate some basic dynamical behaviors of the proposed 4-D system.

92 citations

Book
01 Jan 2006
TL;DR: Simulations show that convergent, consistent estimates of vehicle state and obstacle positions can be obtained and that the estimates can be used by a trajectory planner to generate a path through a cluttered environment.
Abstract: Safe, autonomous operation in complex, cluttered environments is a critical challenge facing autonomous mobile systems. The research described in this paper was motivated by a particularly difficult example of autonomous mobility: flightofasmallunmannedaerialvehiclethroughaforest.Thefocuswasonenablingthethreecriticaltasks that comprise flight: 1) maintaining controlled flight while avoiding collisions (aviate); 2) flying from a known start location to a known goal location (navigate); and 3) providing information about the environment—a map—to a humanoperatororotherrobotsin the team(communicate).Presentedhere isasolution tothe problem ofestimating vehicle state (its position, orientation, and velocity) as well as the positions of obstacles or landmarks in the environment using only inertial measurements and bearings to landmarks. This is a highly nonlinear estimation problem, and standard estimation techniques such as the extended Kalman filter are prone to divergence in this application. In this paper asigma-point Kalman filter is implemented, resulting in anestimator which is ableto cope with the significant nonlinearities in the system equations and uncertainty in state estimates while remaining tractable for real-time operation. In addition, the issues of data association and landmark initialization are addressed. Estimator performance is examined through Monte Carlo simulations in two dimensions for scenarios involving unmanned aerial vehicle flight in cluttered environments. Simulations show that convergent, consistent estimates of vehicle state and obstacle positions can be obtained and that the estimates can be used by a trajectory planner to generate a path through a cluttered environment.

91 citations

Journal ArticleDOI
Jintai Chung1
TL;DR: In this paper, the authors derived the non-linear equations of motion for an autonomous system with respect to the polar co-ordinate system using Lagrange's equation, and derived the equilibrium positions and the linear variational equations by the perturbation method.

91 citations

Journal ArticleDOI
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/legal.php) of a fichier do not necessarily imply a mention of copyright.
Abstract: © Annales de l’institut Fourier, 1964, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

90 citations

Journal ArticleDOI
TL;DR: A novel power management strategy has been developed by designing a wind-PV hybrid system to operate both as an autonomous system and as a grid-connected system.
Abstract: Renewable energy systems such as photovoltaic (PV) and wind energy systems are widely designed grid connected or autonomous. This is a problem especially in small powerful system due to the restriction on the inverter markets. Inverters which are utilised in these kinds of energy systems operate on grid or off grid. In this study, a novel power management strategy has been developed by designing a wind-PV hybrid system to operate both as an autonomous system and as a grid-connected system. The inverter used in this study has been designed to operate both on-grid and off-grid. Due to the continuous demand for energy, gel batteries are used in the hybrid system. The designed Power Management Unit performs measurement from various points in the system and in accordance with this measurement; it provides an effective energy transfer to batteries, loads and grid. The designed control unit provided the opportunity to work more efficiently up to 10% rate.

90 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202315
202228
202167
202081
2019101
201863