Technology Category
Planning, Routing, and Scheduling: Scheduling under UncertaintyConstraint Satisfaction and Optimization: Mixed Discrete/Continuous OptimizationSearch and Optimization: Mixed Discrete/Continuous Search
Separation is Optimal for LQR under Intermittent Feedback
🤖 AI Summary
This study addresses the intermittent feedback control problem for linear quadratic regulator (LQR) systems under communication constraints. Under the assumption of independent and identically distributed, zero-mean, symmetric disturbances, the paper establishes—for the first time—the validity of the separation principle in such settings. By integrating dynamic programming with probabilistic symmetry arguments, the authors jointly derive the optimal scheduling and control policies: the optimal scheduler follows a symmetric threshold rule based on cumulative disturbances, while the optimal controller takes the form of a discount-based linear feedback law that is independent of the scheduling policy. This result provides a theoretically optimal and structurally clear framework for the joint design of scheduling and control in intermittent-feedback LQR systems.
Technology Category
Application Category
📝 Abstract
In this work, we first prove that the separation principle holds for communication-constrained LQR problems under i.i.d. zero-mean disturbances with a symmetric distribution. We then solve the dynamic programming problem and show that the optimal scheduling policy is a symmetric threshold rule on the accumulated disturbance since the most recent update, while the optimal controller is a discounted linear feedback law independent of the scheduling policy.
Problem
Research questions and friction points this paper is trying to address.
LQR
intermittent feedback
separation principle
communication-constrained control
optimal scheduling
Innovation
Methods, ideas, or system contributions that make the work stand out.
separation principle
intermittent feedback
LQR
optimal scheduling
symmetric threshold rule
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