Probabilistic-Robust Optimal Control for Uncertain Linear Time-delay Systems by State Feedback Controllers with Memory

Roya Karimi, Arman Dabiri, Jianqiang Cheng, Eric Butcher

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In this paper, a new method is developed for robust control of uncertain linear time-delay systems with feedback control whose gain matrix is time-varying. In contrast to the available linear matrix inequality (LMI)-based techniques for stabilizing linear time-invariant (LTI) uncertain time-delay systems where the feedback controller is chosen memoryless with a constant gain matrix, the feedback control has memory over time in the new proposed LMI-based technique. In addition, two new constraint removal approaches are proposed to solve this problem as a chance-constrained optimization problem. The proposed approaches are developed such that the closed-loop systems are robustly asymptotically stable in the presence of uncertainties. In an illustrative example, it is shown that the proposed techniques can successfully stabilize a linear second-order time-delay system with a time-varying feedback control. It is also shown that the proposed constraint removal approaches are more efficient in comparison to the current approaches for approximating chance-constrained problems.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4183-4188
Number of pages6
Volume2018-June
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Other

Other2018 Annual American Control Conference, ACC 2018
CountryUnited States
CityMilwauke
Period6/27/186/29/18

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Karimi, R., Dabiri, A., Cheng, J., & Butcher, E. (2018). Probabilistic-Robust Optimal Control for Uncertain Linear Time-delay Systems by State Feedback Controllers with Memory. In 2018 Annual American Control Conference, ACC 2018 (Vol. 2018-June, pp. 4183-4188). [8431555] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2018.8431555