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Formations and Obstacle Avoidance in Mobile Robot Control
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0002-7714-928X
2003 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis consists of four independent papers concerningthe control of mobile robots in the context of obstacleavoidance and formation keeping.

The first paper describes a new theoreticallyv erifiableapproach to obstacle avoidance. It merges the ideas of twoprevious methods, with complementaryprop erties, byusing acombined control Lyapunov function (CLF) and model predictivecontrol (MPC) framework.

The second paper investigates the problem of moving a fixedformation of vehicles through a partiallykno wn environmentwith obstacles. Using an input to state (ISS) formulation theconcept of configuration space obstacles is generalized toleader follower formations. This generalization then makes itpossible to convert the problem into a standard single vehicleobstacle avoidance problem, such as the one considered in thefirst paper. The properties of goal convergence and safetyth uscarries over to the formation obstacle avoidance case.

In the third paper, coordination along trajectories of anonhomogenuos set of vehicles is considered. Byusing a controlLyapunov function approach, properties such as boundedformation error and finite completion time is shown.

Finally, the fourth paper applies a generalized version ofthe control in the third paper to translate,rotate and expanda formation. It is furthermore shown how a partial decouplingof formation keeping and formation mission can be achieved. Theapproach is then applied to a scenario of underwater vehiclesclimbing gradients in search for specific thermal/biologicalregions of interest. The sensor data fusion problem fordifferent formation configurations is investigated and anoptimal formation geometryis proposed.

Keywords:Mobile Robots, Robot Control, ObstacleAvoidance, Multirobot System, Formation Control, NavigationFunction, Lyapunov Function, Model Predictive Control, RecedingHorizon Control, Gradient Climbing, Gradient Estimation.

Place, publisher, year, edition, pages
Stockholm: KTH, Matematik , 2003. , xi, 38 p.
Trita-MAT, ISSN 1401-2286 ; 03-OS-06
Keyword [en]
Mobile Robots, Robot Control, Obstacle Avoidance, Multi-robot system, Formation Control, Navigation Function, Lyapunov Function, Model Predictive Control, Receding Horizon Control, Gradient Climbing, Gradient Estimation.
National Category
Natural Sciences
URN: urn:nbn:se:kth:diva-3555ISBN: 91-7283-521-4OAI: diva2:9373
Public defence
2003-06-06, Kollegiesalen, Administrationsbyggnaden, Kungliga Tekniska Högskolan, Valhallavägen 79, Stockholm, 10:00 (Swedish)
QC 20111121Available from: 2003-06-23 Created: 2003-06-23 Last updated: 2011-11-21Bibliographically approved

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