English

Pointwise-Sparse Actuator Scheduling for Linear Systems with Controllability Guarantee

Optimization and Control 2025-02-12 v3 Systems and Control Systems and Control

Abstract

This paper considers the design of sparse actuator schedules for linear time-invariant systems. An actuator schedule selects, for each time instant, which control inputs act on the system in that instant. We address the optimal scheduling of control inputs under a hard constraint on the number of inputs that can be used at each time. For a sparsely controllable system, we characterize sparse actuator schedules that make the system controllable, and then devise a greedy selection algorithm that guarantees controllability while heuristically providing low control effort. We further show how to enhance our greedy algorithm via Markov chain Monte Carlo-based randomized optimization

Keywords

Cite

@article{arxiv.2407.12125,
  title  = {Pointwise-Sparse Actuator Scheduling for Linear Systems with Controllability Guarantee},
  author = {Luca Ballotta and Geethu Joseph and Irawati Rahul Thete},
  journal= {arXiv preprint arXiv:2407.12125},
  year   = {2025}
}

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R2 v1 2026-06-28T17:43:42.935Z