Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers

Masaki Inoue; Teruyo Wada; Toru Asai; Masao Ikeda

doi:10.1109/CDC.2011.6161487

Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers

Masaki Inoue, Teruyo Wada, Toru Asai, Masao Ikeda

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

6 Citations (Scopus)

Abstract

This paper proposes non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. We consider state feedback and dynamic output feedback to make the states of the closed-loop systems decay non-exponentially.We first introduce a non-exponential stability concept that the state of a zero-input time-varying system converges to the origin with an upper bound provided by a specified function. Then, we give non-exponential stabilizability conditions and time-varying controllers to achieve the behavior defined by a desired upper bound function for the closed-loop system. By the proposed methods, we can realize various non-exponential behaviors, which may improve control performance.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4090-4095
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161487
Publication status	Published - 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 2011 Dec 12 → 2011 Dec 15

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	11/12/12 → 11/12/15

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2011.6161487

Cite this

Inoue, M., Wada, T., Asai, T., & Ikeda, M. (2011). Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 4090-4095). Article 6161487 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6161487

Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. / Inoue, Masaki; Wada, Teruyo; Asai, Toru et al.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. p. 4090-4095 6161487 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Inoue, M, Wada, T, Asai, T & Ikeda, M 2011, Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161487, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 4090-4095, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 11/12/12. https://doi.org/10.1109/CDC.2011.6161487

Inoue M, Wada T, Asai T, Ikeda M. Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. p. 4090-4095. 6161487. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6161487

Inoue, Masaki ; Wada, Teruyo ; Asai, Toru et al. / Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. pp. 4090-4095 (Proceedings of the IEEE Conference on Decision and Control).

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AB - This paper proposes non-exponential stabilization of linear time-invariant systems by linear time-varying controllers. We consider state feedback and dynamic output feedback to make the states of the closed-loop systems decay non-exponentially.We first introduce a non-exponential stability concept that the state of a zero-input time-varying system converges to the origin with an upper bound provided by a specified function. Then, we give non-exponential stabilizability conditions and time-varying controllers to achieve the behavior defined by a desired upper bound function for the closed-loop system. By the proposed methods, we can realize various non-exponential behaviors, which may improve control performance.

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Non-exponential stabilization of linear time-invariant systems by linear time-varying controllers

Abstract

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