Abstract
This paper presents a method for the synthesis of negative imaginary closed-loop systems with a prescribed degree of stability under the assumption of full state feedback. The approach extends existing work by using a perturbation method to ensure a closed-loop system that has both the negative imaginary property and a prescribed degree of stability. This approach involves the real Schur decomposition of a matrix followed by the solution to two Lyapunov equations which provides computational advantages over alternate state feedback synthesis techniques. Also, some counterexamples are presented which clarify the perturbation properties of strictly negative imaginary systems.
Original language | English |
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Title of host publication | 2018 IEEE Conference on Decision and Control, CDC 2018 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 3807-3811 |
Number of pages | 5 |
ISBN (Electronic) | 9781538613955 |
DOIs | |
Publication status | Published - 2 Jul 2018 |
Event | 57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018 |
Publication series
Name | Proceedings of the IEEE Conference on Decision and Control |
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Volume | 2018-December |
ISSN (Print) | 0743-1546 |
ISSN (Electronic) | 2576-2370 |
Conference
Conference | 57th IEEE Conference on Decision and Control, CDC 2018 |
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Country/Territory | United States |
City | Miami |
Period | 17/12/18 → 19/12/18 |