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Risk-Sensitive Model Predictive Control for Interaction-Aware Planning -- A Sequential Convexification Algorithm

Published: March 18, 2025 | arXiv ID: 2503.14328v2

By: Renzi Wang, Mathijs Schuurmans, Panagiotis Patrinos

Potential Business Impact:

Helps robots safely avoid bumping into things.

Business Areas:
Risk Management Professional Services

This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable convex upper bounds to both the objective function, and to frequently used penalty terms for collision avoidance, allowing us to efficiently solve the generally nonconvex optimal control problem as a sequence of convex problems. Simulations of a robot navigating a corridor demonstrate the effectiveness and the computational advantage of the proposed approach.

Country of Origin
🇧🇪 Belgium

Page Count
7 pages

Category
Mathematics:
Optimization and Control