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 language | English (US) |
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Title of host publication | 2018 Annual American Control Conference, ACC 2018 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 4183-4188 |
Number of pages | 6 |
Volume | 2018-June |
ISBN (Print) | 9781538654286 |
DOIs | |
State | Published - Aug 9 2018 |
Event | 2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018 |
Other
Other | 2018 Annual American Control Conference, ACC 2018 |
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Country | United States |
City | Milwauke |
Period | 6/27/18 → 6/29/18 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering