AI & ML
Preference-Conditioned Group-Relative Policy Optimization for Terminally Constrained Multi-Objective Control
arXiv eess.SY0 views
arXiv:2610.41884v1 Announce Type: new Abstract: Multi-objective optimal control is commonly addressed by reinforcement learning with fixed scalarization weights, requiring a separate training run and constraint enforcement for each trade-off. This letter extends critic-free group-relative policy optimization to terminally constrained multi-objective control: a single preference-conditioned policy is trained over random preferences and returns a feasible approximation of the Pareto front in one run. Three structural results are established. Group normalization after scalarization preserves the prescribed preference, whereas per-objective normalization induces policy-dependent distortion; with pairwise distinct normalization scales, only single-objective preferences remain unchanged. A positive floor prevents the terminal-constraint multiplier from vanishing and renders the penalty exact when the floor exceeds a geometric multiplier. Deterministic terminal violation is bounded by expected stochastic violation plus a term depending on terminal-state curvature and action variance, so stochastic feasibility alone does not certify deterministic execution. On a heavy-duty range-extender powertrain with six stage costs and a terminal state-of-charge band, a representative training run places all 32 preference-grid solutions in band on six cycles inside and outside the training pool. Averaged over ten runs, the method yields more in-band solutions under deterministic execution than a critic-based conditioned baseline with the same terminal-constraint handling.
Source:https://arxiv.org/abs/2610.41884PreviousSafe Planning for Black-Box Systems via MAP Inference with Truncated Diffusion Priors and CBF-Informed Gibbs LikelihoodsNextSafety Verification for Voltage Control in Inverter Dominated Radial Distribution Networks under Actuator and Sensor Adversarial Attacks
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