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Robust Pivoting: Exploiting Frictional Stability Using Bilevel Optimization (2203.11412v1)

Published 22 Mar 2022 in cs.RO, cs.AI, cs.SY, and eess.SY

Abstract: Generalizable manipulation requires that robots be able to interact with novel objects and environment. This requirement makes manipulation extremely challenging as a robot has to reason about complex frictional interaction with uncertainty in physical properties of the object. In this paper, we study robust optimization for control of pivoting manipulation in the presence of uncertainties. We present insights about how friction can be exploited to compensate for the inaccuracies in the estimates of the physical properties during manipulation. In particular, we derive analytical expressions for stability margin provided by friction during pivoting manipulation. This margin is then used in a bilevel trajectory optimization algorithm to design a controller that maximizes this stability margin to provide robustness against uncertainty in physical properties of the object. We demonstrate our proposed method using a 6 DoF manipulator for manipulating several different objects.

Citations (25)

Summary

  • The paper presents a method for robust robotic pivoting under object property uncertainties by quantifying and exploiting frictional stability via bilevel optimization.
  • The approach uses a contact-implicit trajectory optimization within a bilevel framework to maximize the frictional stability margin throughout the manipulation process.
  • Simulations and hardware experiments show the method improves pivoting task success rates, achieving 100% success in simulations despite unknown mass uncertainty.

Robust Pivoting: Exploiting Frictional Stability Using Bilevel Optimization

This paper presents a methodological advancement in robotic manipulation, specifically addressing the challenge of pivoting manipulation in the presence of uncertainties related to object physical properties. The authors explore the concept of frictional stability and leverage it through bilevel optimization to enhance the robustness of control strategies for manipulators engaged in pivoting tasks. The research effectively tackles uncertainties such as variations in mass and the center of mass (CoM) location, common hindrances in real-world applications of robotic manipulation.

Mechanism and Optimization Framework

The paper elucidates the mechanics of pivoting manipulation, focusing on how frictional forces can stabilize objects under the influence of unknown mass distributions and CoM locations. It posits that the redistribution of frictional forces at contact points can compensate for inaccuracies, providing a stability margin earmarked as frictional stability. This margin is quantified and utilized as a metric within a bilevel optimization framework to design robust trajectories for manipulators.

The approach is innovative in its application of contact-implicit trajectory optimization that incorporates frictional stability into the optimization process. By setting up a bilevel optimization structure, the authors ensure the nominal trajectory's resilience against perturbations caused by uncertainties. This optimization focuses on maximizing the frictional stability margin throughout the manipulation process, thus providing a significant buffer against unpredictable variations in object properties.

Results and Implications

The authors demonstrate the efficacy of their approach through simulations and hardware experiments using various objects, detailing parameters such as mass and dimensions. The results indicate a superior performance of the proposed bilevel optimization technique over traditional methods, particularly in maintaining robust pivoting trajectories despite mass uncertainties.

Notably, the paper reports significant improvements in the success rate of pivoting tasks using the proposed optimization method. For example, in conditions of unknown mass, the bilevel optimization consistently achieved a 100% success rate, highlighting a marked improvement over baseline methods that failed to adapt to the same level of uncertainty.

Future Directions in AI and Robotics

The insights from this research have notable implications for both theoretical developments and practical applications in robotics. The introduction of frictional stability as a design consideration could lead to more sophisticated control algorithms capable of handling a broader range of uncertainties in robotic manipulation tasks. This has potential applications in industrial automation, where the handling and assembling of diverse objects are imperative.

Future research could explore extending the principles of frictional stability to tasks involving patch contacts, which may further enhance the robustness of manipulation strategies. Additionally, incorporating real-time feedback mechanisms could enable dynamic adjustments during manipulation, further compensating for unforeseen variations.

Exploring a comprehensive framework that combines multiple sources of uncertainty—such as surface friction variations and robot kinematic imprecisions—with stochastic models could pave the way for more resilient and adaptable robotic systems. The evolution towards computationally tractable optimization models will also be critical in implementing these sophisticated control strategies in real-world scenarios.

In conclusion, the paper sets a foundation for exploiting frictional dynamics in robotic manipulation, propelling forward the development of robust control methodologies that accommodate the inherent unpredictability of interacting with diverse and unknown objects. The application of such methodologies holds promise in enhancing the reliability and efficiency of robotic systems in complex environments.

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