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Optimal Control of Sensor-Induced Illusions on Robotic Agents (2504.18339v1)

Published 25 Apr 2025 in cs.RO

Abstract: This paper presents a novel problem of creating and regulating localization and navigation illusions considering two agents: a receiver and a producer. A receiver is moving on a plane localizing itself using the intensity of signals from three known towers observed at its position. Based on this position estimate, it follows a simple policy to reach its goal. The key idea is that a producer alters the signal intensities to alter the position estimate of the receiver while ensuring it reaches a different destination with the belief that it reached its goal. We provide a precise mathematical formulation of this problem and show that it allows standard techniques from control theory to be applied to generate localization and navigation illusions that result in a desired receiver behavior.

Summary

Overview of "Optimal Control of Sensor-Induced Illusions on Robotic Agents"

This paper investigates a novel approach to robot control by harnessing the concept of sensor-induced illusions. The central premise is the manipulation of signal intensities to create illusions for robotic agents, specifically targeting localization and navigation tasks. The research identifies two distinct agents within this framework: a receiver, which is the robotic agent subject to illusions, and a producer, which manipulates environmental signals to influence the receiver's perception of reality.

Context and Methodology

The research defines the receiver as a mobile agent that localizes itself within an environment by relying on trilateration from signal intensities emitted by fixed towers. It is equipped with an intrinsic model based on fixed signal intensities, allowing it to estimate its position. However, this renders the receiver susceptible to controlled misinterpretations, akin to sensory illusions in humans, where perceived stimuli do not match reality. Meanwhile, the producer, an omniscient entity in the system, adjusts signal intensities to influence the receiver's perceived location, effectively guiding it away from its true intended target while maintaining the illusion of having reached its goal.

To mathematically capture the interaction between these agents, the authors employ control theory within a formalized framework. They define a universe encompassing both the internal states of the agents and the external environment, allowing the use of state transition functions and sensor mappings. A key contribution of the paper is formulating the problem as an optimal control task, where the producer seeks an optimal policy that minimizes a cost function related to guiding the receiver to a desired state while ensuring its I-states remain plausible.

Numerical Simulations and Results

The paper demonstrates the viability of this approach through numerical simulations involving both simple and advanced receiver models. The simple receiver utilizes a state estimation framework based entirely on static assumptions, while the advanced receiver includes a model of disturbances to account for uncertainties in motion. Notably, even with these complexity layers, the designed producer can systematically induce sensory illusions, guiding the receiver effectively without clarification on the illusions.

The results emphasize the efficient trajectory manipulation by the producer, where the receiver's belief about its location diverges from reality but ends at a goal dictated by the producer. Importantly, the advanced receiver model shows the method's robustness as it operates with constraints that emulate more realistic environmental conditions and sensor disturbances, albeit requiring a longer convergence time.

Implications and Future Directions

This work posits significant implications for robotics, especially in fields requiring precise navigation under adversarial or constrained conditions. The potential to influence robotic behavior through signal manipulation opens avenues for safety-critical applications, such as autonomous vehicles, where understanding and countering spoofing attacks is crucial. Additionally, the framework proposed could be pivotal in the design and testing of virtual and augmented reality systems for robotic applications, simulating environments for training and evaluation without real-world deployment.

For future research, extending the framework to probabilistic models and less omniscient producers will be crucial. Engaging with more advanced receiver models that integrate sophisticated anti-spoofing mechanisms or adopting a probabilistic treatment of sensor readings can significantly enhance the robustness of the approach. Furthermore, exploring computational limits and ethical considerations of inducing illusions in autonomous systems forms a critical avenue for continued exploration in this emerging area of perception engineering.

In summary, this paper contributes a structured approach to influencing robotic perception through controlled signal manipulation, offering novel insights into sensor-induced illusions and their applications across complex autonomous systems.

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