21,330 research outputs found
On Probabilistic Strategies for Robot Tasks
Robots must act purposefully and successfully in an uncertain world. Sensory information is inaccurate or noisy, actions may have a range of effects, and the robot's environment is only partially and imprecisely modeled. This thesis introduces active randomization by a robot, both in selecting actions to execute and in focusing on sensory information to interpret, as a basic tool for overcoming uncertainty. An example of randomization is given by the strategy of shaking a bin containing a part in order to orient the part in a desired stable state with some high probability. Another example consists of first using reliable sensory information to bring two parts close together, then relying on short random motions to actually mate the two parts, once the part motions lie below the available sensing resolution. Further examples include tapping parts that are tightly wedged, twirling gears before trying to mesh them, and vibrating parts to facilitate a mating operation
A macroscopic analytical model of collaboration in distributed robotic systems
In this article, we present a macroscopic analytical model of collaboration in a group of reactive robots. The model consists of a series of coupled differential equations that describe the dynamics of group behavior. After presenting the general model, we analyze in detail a case study of collaboration, the stick-pulling experiment, studied experimentally and in simulation by Ijspeert et al. [Autonomous Robots, 11, 149-171]. The robots' task is to pull sticks out of their holes, and it can be successfully achieved only through the collaboration of two robots. There is no explicit communication or coordination between the robots. Unlike microscopic simulations (sensor-based or using a probabilistic numerical model), in which computational time scales with the robot group size, the macroscopic model is computationally efficient, because its solutions are independent of robot group size. Analysis reproduces several qualitative conclusions of Ijspeert et al.: namely, the different dynamical regimes for different values of the ratio of robots to sticks, the existence of optimal control parameters that maximize system performance as a function of group size, and the transition from superlinear to sublinear performance as the number of robots is increased
Learning and Reasoning for Robot Sequential Decision Making under Uncertainty
Robots frequently face complex tasks that require more than one action, where
sequential decision-making (SDM) capabilities become necessary. The key
contribution of this work is a robot SDM framework, called LCORPP, that
supports the simultaneous capabilities of supervised learning for passive state
estimation, automated reasoning with declarative human knowledge, and planning
under uncertainty toward achieving long-term goals. In particular, we use a
hybrid reasoning paradigm to refine the state estimator, and provide
informative priors for the probabilistic planner. In experiments, a mobile
robot is tasked with estimating human intentions using their motion
trajectories, declarative contextual knowledge, and human-robot interaction
(dialog-based and motion-based). Results suggest that, in efficiency and
accuracy, our framework performs better than its no-learning and no-reasoning
counterparts in office environment.Comment: In proceedings of 34th AAAI conference on Artificial Intelligence,
202
LTL Control in Uncertain Environments with Probabilistic Satisfaction Guarantees
We present a method to generate a robot control strategy that maximizes the
probability to accomplish a task. The task is given as a Linear Temporal Logic
(LTL) formula over a set of properties that can be satisfied at the regions of
a partitioned environment. We assume that the probabilities with which the
properties are satisfied at the regions are known, and the robot can determine
the truth value of a proposition only at the current region. Motivated by
several results on partitioned-based abstractions, we assume that the motion is
performed on a graph. To account for noisy sensors and actuators, we assume
that a control action enables several transitions with known probabilities. We
show that this problem can be reduced to the problem of generating a control
policy for a Markov Decision Process (MDP) such that the probability of
satisfying an LTL formula over its states is maximized. We provide a complete
solution for the latter problem that builds on existing results from
probabilistic model checking. We include an illustrative case study.Comment: Technical Report accompanying IFAC 201
Monte-Carlo Robot Path Planning
Path planning is a crucial algorithmic approach for designing robot
behaviors. Sampling-based approaches, like rapidly exploring random trees
(RRTs) or probabilistic roadmaps, are prominent algorithmic solutions for path
planning problems. Despite its exponential convergence rate, RRT can only find
suboptimal paths. On the other hand, , a widely-used extension
to RRT, guarantees probabilistic completeness for finding optimal paths but
suffers in practice from slow convergence in complex environments. Furthermore,
real-world robotic environments are often partially observable or with poorly
described dynamics, casting the application of in complex
tasks suboptimal. This paper studies a novel algorithmic formulation of the
popular Monte-Carlo tree search (MCTS) algorithm for robot path planning.
Notably, we study Monte-Carlo Path Planning (MCPP) by analyzing and proving, on
the one part, its exponential convergence rate to the optimal path in fully
observable Markov decision processes (MDPs), and on the other part, its
probabilistic completeness for finding feasible paths in partially observable
MDPs (POMDPs) assuming limited distance observability (proof sketch). Our
algorithmic contribution allows us to employ recently proposed variants of MCTS
with different exploration strategies for robot path planning. Our experimental
evaluations in simulated 2D and 3D environments with a 7 degrees of freedom
(DOF) manipulator, as well as in a real-world robot path planning task,
demonstrate the superiority of MCPP in POMDP tasks.Comment: Accepted: RA-L & IROS 202
Verification and control of partially observable probabilistic systems
We present automated techniques for the verification and control of partially observable, probabilistic systems for both discrete and dense models of time. For the discrete-time case, we formally model these systems using partially observable Markov decision processes; for dense time, we propose an extension of probabilistic timed automata in which local states are partially visible to an observer or controller. We give probabilistic temporal logics that can express a range of quantitative properties of these models, relating to the probability of an event’s occurrence or the expected value of a reward measure. We then propose techniques to either verify that such a property holds or synthesise a controller for the model which makes it true. Our approach is based on a grid-based abstraction of the uncountable belief space induced by partial observability and, for dense-time models, an integer discretisation of real-time behaviour. The former is necessarily approximate since the underlying problem is undecidable, however we show how both lower and upper bounds on numerical results can be generated. We illustrate the effectiveness of the approach by implementing it in the PRISM model checker and applying it to several case studies from the domains of task and network scheduling, computer security and planning
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