English

Integral state-feedback control of linear time-varying systems: A performance preserving approach

Systems and Control 2021-12-28 v2 Systems and Control

Abstract

An integral extension of state-feedback controllers for linear time-varying plants is proposed, which preserves performance of the nominal controller in the unperturbed case. Similar to time-invariant state feedback with integral action, the controller achieves complete rejection of disturbances whose effective action on the plant is constant with respect to the control input. Moreover, bounded-input bounded-state stability with respect to arbitrary disturbances is shown. A modification for preventing controller windup as well as tuning guidelines are discussed. The efficacy of the proposed technique is demonstrated in simulation for a two-tank system that is linearized along a time-varying reference trajectory.

Keywords

Cite

@article{arxiv.2111.03380,
  title  = {Integral state-feedback control of linear time-varying systems: A performance preserving approach},
  author = {Richard Seeber and Markus Tranninger},
  journal= {arXiv preprint arXiv:2111.03380},
  year   = {2021}
}
R2 v1 2026-06-24T07:27:30.422Z