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Coordinated Path Planning for Multiple Robots

Coordinated Path Planning for Multiple Robots
Author: Petr S̆vestka
Publisher:
Total Pages: 29
Release: 1996
Genre: Data structures (Computer science)
ISBN:

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Abstract: "We present a new approach to the multi-robot path planning problem, where a number of robots are to change their positions through feasible motions in the same static environment. Rather than the usual decoupled planning, we use a coordinated approach. As a result we can show that the method is probabilistically complete, that is, any solvable problem will be solved within a finite amount of time. A data- structure storing multi-robot motions is built in two steps. First, a roadmap is constructed for just one robot. For this we use the Probabilistic Path Planner, which guarantees that the approach can be easily applied to different robot types. In the second step, a number of these simple roadmaps are combined into a roadmap for the composite robot. This data-structure can be used for retrieving multi-robot paths. We have applied the method to car-like robots, and simulation results are presented which show that problems involving up to 5 car-like robots in complex environments are solved successfully in computation times in the order of seconds, after a preprocessing step (the construction of the data structure) that consumes, at most, a few minutes. Such a preprocessing step however needs to be performed just once, for a given static environment."


Algorithmic Foundations of Robotics X

Algorithmic Foundations of Robotics X
Author: Emilio Frazzoli
Publisher: Springer
Total Pages: 625
Release: 2013-02-14
Genre: Technology & Engineering
ISBN: 3642362796

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Algorithms are a fundamental component of robotic systems. Robot algorithms process inputs from sensors that provide noisy and partial data, build geometric and physical models of the world, plan high-and low-level actions at different time horizons, and execute these actions on actuators with limited precision. The design and analysis of robot algorithms raise a unique combination of questions from many elds, including control theory, computational geometry and topology, geometrical and physical modeling, reasoning under uncertainty, probabilistic algorithms, game theory, and theoretical computer science. The Workshop on Algorithmic Foundations of Robotics (WAFR) is a single-track meeting of leading researchers in the eld of robot algorithms. Since its inception in 1994, WAFR has been held every other year, and has provided one of the premiere venues for the publication of some of the eld's most important and lasting contributions. This books contains the proceedings of the tenth WAFR, held on June 13{15 2012 at the Massachusetts Institute of Technology. The 37 papers included in this book cover a broad range of topics, from fundamental theoretical issues in robot motion planning, control, and perception, to novel applications.


Robot Teams

Robot Teams
Author: Tucker Balch
Publisher: CRC Press
Total Pages: 425
Release: 2002-04-17
Genre: Computers
ISBN: 1439863679

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This is a comprehensive volume on robot teams that will be the standard reference on multi-robot systems. The volume provides not only the essentials of multi-agent robotics theory but also descriptions of exemplary implemented systems demonstrating the key concepts of multi-robot research. Information is presented in a descriptive manner and augme


Robot Path Planning and Cooperation

Robot Path Planning and Cooperation
Author: Anis Koubaa
Publisher: Springer
Total Pages: 205
Release: 2018-04-05
Genre: Technology & Engineering
ISBN: 331977042X

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This book presents extensive research on two main problems in robotics: the path planning problem and the multi-robot task allocation problem. It is the first book to provide a comprehensive solution for using these techniques in large-scale environments containing randomly scattered obstacles. The research conducted resulted in tangible results both in theory and in practice. For path planning, new algorithms for large-scale problems are devised and implemented and integrated into the Robot Operating System (ROS). The book also discusses the parallelism advantage of cloud computing techniques to solve the path planning problem, and, for multi-robot task allocation, it addresses the task assignment problem and the multiple traveling salesman problem for mobile robots applications. In addition, four new algorithms have been devised to investigate the cooperation issues with extensive simulations and comparative performance evaluation. The algorithms are implemented and simulated in MATLAB and Webots.


Multi-robot Coordination in Domains with Intra-path Constraints

Multi-robot Coordination in Domains with Intra-path Constraints
Author: E. Gil Jones
Publisher:
Total Pages: 186
Release: 2009
Genre: Mobile robots
ISBN:

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Abstract: "Many applications require teams of robots to cooperatively execute tasks. Among these domains are those in which successful coordination must respect intra-path constraints, which are constraints that occur on the paths of agents and affect route planning. One such domain is disaster response with intra-path constraints, a compelling application that is not well addressed by current coordination methods. In this domain a group of fire truck robots attempt to address a number of fires spread throughout a city in the wake of a large-scale disaster. The disaster has also caused many city roads to be blocked by impassable debris, which can be cleared by bulldozer robots. To produce coordinated agent behavior that satisfies the requirements of this domain entails not only allocating fires to fire trucks, but also determining what routes fire trucks should take given the presence of debris piles and which bulldozers should be assigned to clear debris along those routes. To determine high quality coordinated plans in domains with intra-path constraints requires that agent interactions be considered when making path planning, allocation, and scheduling decisions. This thesis addresses the problem of coordinating agents in such domains, with the goal of determining high quality coordinated behavior while minimizing the time required for computation. Different scenarios involving domains with intra-path constraints will vary in terms of the nature of the constraints, the level of uncertainty in the environment, and the time available for computation. The central contribution of this thesis is a suite of different approaches for effectively coordinating behavior in domains with intra-path constraints, each of which has strengths and weakness and each of which may be the most appropriate given scenario requirements and specifications. One technique we employ is greedy, market-based coordination. In our market-based approaches we seek to exploit the structure and independence inherent in domains with intra-path constraints to develop heuristics and bounding routines that serve to improve the quality of agent behavior while limiting the required computation. Our other primary technique is a randomized evolutionary search method that employs genetic algorithms. The genetic algorithm approach can potentially avoid local performance maxima that can result from using the market-based methods but requires orders of magnitude more computation. In addition to our suite of approaches this thesis formulates domains with intra-path constraints as a distinct problem space within multi-robot literature and compehensively treats the scenario factors that must be considered in approach design. Further contributions include a tiered auction methodology that extends market-based methods to domains where forming accurate bids requires soliciting the help of other agents; the first tractable time-extended allocation approach to domains with intra-path constraints; and the first approach that employs genetic algorithms within a domain where allocation and path-planning are inter-constrained."


Motion Planning in Dynamic Environments

Motion Planning in Dynamic Environments
Author: Kikuo Fujimura
Publisher: Springer Science & Business Media
Total Pages: 190
Release: 2012-12-06
Genre: Computers
ISBN: 4431681655

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Computer Science Workbench is a monograph series which will provide you with an in-depth working knowledge of current developments in computer technology. Every volume in this series will deal with a topic of importance in computer science and elaborate on how you yourself can build systems related to the main theme. You will be able to develop a variety of systems, including computer software tools, computer graphics, computer animation, database management systems, and computer-aided design and manufacturing systems. Computer Science Workbench represents an important new contribution in the field of practical computer technology. TOSIYASU L. KUNII To my parents Kenjiro and Nori Fujimura Preface Motion planning is an area in robotics that has received much attention recently. Much of the past research focuses on static environments - various methods have been developed and their characteristics have been well investigated. Although it is essential for autonomous intelligent robots to be able to navigate within dynamic worlds, the problem of motion planning in dynamic domains is relatively little understood compared with static problems.


The Complexity of Robot Motion Planning

The Complexity of Robot Motion Planning
Author: John Canny
Publisher: MIT Press
Total Pages: 220
Release: 1988
Genre: Computers
ISBN: 9780262031363

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The Complexity of Robot Motion Planning makes original contributions both to roboticsand to the analysis of algorithms. In this groundbreaking monograph John Canny resolveslong-standing problems concerning the complexity of motion planning and, for the central problem offinding a collision free path for a jointed robot in the presence of obstacles, obtains exponentialspeedups over existing algorithms by applying high-powered new mathematical techniques.Canny's newalgorithm for this "generalized movers' problem," the most-studied and basic robot motion planningproblem, has a single exponential running time, and is polynomial for any given robot. The algorithmhas an optimal running time exponent and is based on the notion of roadmaps - one-dimensionalsubsets of the robot's configuration space. In deriving the single exponential bound, Cannyintroduces and reveals the power of two tools that have not been previously used in geometricalgorithms: the generalized (multivariable) resultant for a system of polynomials and Whitney'snotion of stratified sets. He has also developed a novel representation of object orientation basedon unnormalized quaternions which reduces the complexity of the algorithms and enhances theirpractical applicability.After dealing with the movers' problem, the book next attacks and derivesseveral lower bounds on extensions of the problem: finding the shortest path among polyhedralobstacles, planning with velocity limits, and compliant motion planning with uncertainty. Itintroduces a clever technique, "path encoding," that allows a proof of NP-hardness for the first twoproblems and then shows that the general form of compliant motion planning, a problem that is thefocus of a great deal of recent work in robotics, is non-deterministic exponential time hard. Cannyproves this result using a highly original construction.John Canny received his doctorate from MITAnd is an assistant professor in the Computer Science Division at the University of California,Berkeley. The Complexity of Robot Motion Planning is the winner of the 1987 ACM DoctoralDissertation Award.


Principles of Robot Motion

Principles of Robot Motion
Author: Howie Choset
Publisher: MIT Press
Total Pages: 642
Release: 2005-05-20
Genre: Technology & Engineering
ISBN: 9780262033275

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A text that makes the mathematical underpinnings of robot motion accessible and relates low-level details of implementation to high-level algorithmic concepts. Robot motion planning has become a major focus of robotics. Research findings can be applied not only to robotics but to planning routes on circuit boards, directing digital actors in computer graphics, robot-assisted surgery and medicine, and in novel areas such as drug design and protein folding. This text reflects the great advances that have taken place in the last ten years, including sensor-based planning, probabalistic planning, localization and mapping, and motion planning for dynamic and nonholonomic systems. Its presentation makes the mathematical underpinnings of robot motion accessible to students of computer science and engineering, rleating low-level implementation details to high-level algorithmic concepts.