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Approximate Feedback Nash Equilibria in Constrained Differential Games via MPC
US & West ·
A Model Predictive Control approach approximates infinite-horizon feedback Nash equilibrium trajectories by repeatedly solving finite-horizon open-loop games. It targets multi-agent control settings, including physical human-machine interaction, where agent responses and state/input constraints must be respected.
Why it matters
It offers a computationally tractable way to derive time-consistent control strategies in systems with multiple interacting agents and explicit constraints.
Original headline
Approximate Feedback Nash Equilibria in Constrained Differential Games via Model Predictive Control with Upper Bound Guarantees
Using Willems' fundamental lemma, a single offline input-output trajectory serves as an implicit model of a linear time-invariant system, with online operation needing only past measurements. Bounded measurement noise is handled in both stages, and recursive feasibility plus practical exponential stability are established.
The report takes a first step toward a systematic, traceable mapping between RPO mission requirements and model predictive control design choices. It uses the ADRIOS / ClearSpace-1 active debris removal mission as a case study across three sequential operations, each with its own sample time, constraint set and cost structure.
arXiv:2602.01164v2 Announce Type: replace-cross Abstract: We propose a computationally tractable, tube-based robust nonlinear model predictive control (MPC) framework using difference-of-convex (DC) functions and sequential convex programming.