Decentralized adaptive control of uncertain interconnected systems with triggering state signals

Backstepping is a powerful technique of control design for uncertain systems and has been well received. As it involves differentiating virtual control signals recursively, the involved signals must be differentiable. However, when the measured states are only transmitted based on event-triggered co...

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Main Authors: Zhang, Zhirong, Wen, Changyun, Zhao, Kai, Song, Yongduan
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/163541
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author Zhang, Zhirong
Wen, Changyun
Zhao, Kai
Song, Yongduan
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Zhang, Zhirong
Wen, Changyun
Zhao, Kai
Song, Yongduan
author_sort Zhang, Zhirong
collection NTU
description Backstepping is a powerful technique of control design for uncertain systems and has been well received. As it involves differentiating virtual control signals recursively, the involved signals must be differentiable. However, when the measured states are only transmitted based on event-triggered conditions, such requirement will not be met, making the recursive backstepping design procedure inapplicable. Thus it is still an open problem to study how an event-triggered scheme is employed to transmit state signals in decentralized control of uncertain interconnected systems with dynamic interactions. In this paper, we present a solution by constructing a new decentralized adaptive backstepping-based control algorithm capable of coping with discontinuity caused by state-triggering. With aid of appropriately chosen Lyapunov functions, all signals in the closed-loop system are ensured globally uniformly bounded. Simulation results are presented to demonstrate the effectiveness of the proposed methodology.
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spelling ntu-10356/1635412022-12-08T08:32:39Z Decentralized adaptive control of uncertain interconnected systems with triggering state signals Zhang, Zhirong Wen, Changyun Zhao, Kai Song, Yongduan School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Adaptive Control Backstepping Backstepping is a powerful technique of control design for uncertain systems and has been well received. As it involves differentiating virtual control signals recursively, the involved signals must be differentiable. However, when the measured states are only transmitted based on event-triggered conditions, such requirement will not be met, making the recursive backstepping design procedure inapplicable. Thus it is still an open problem to study how an event-triggered scheme is employed to transmit state signals in decentralized control of uncertain interconnected systems with dynamic interactions. In this paper, we present a solution by constructing a new decentralized adaptive backstepping-based control algorithm capable of coping with discontinuity caused by state-triggering. With aid of appropriately chosen Lyapunov functions, all signals in the closed-loop system are ensured globally uniformly bounded. Simulation results are presented to demonstrate the effectiveness of the proposed methodology. This work was supported in part by the National Key Research and Development Program of China under Grant 2021ZD0201300 and in part by National Natural Science Foundation of China under Grant 61860206008, 61933012, 61833013. 2022-12-08T08:32:39Z 2022-12-08T08:32:39Z 2022 Journal Article Zhang, Z., Wen, C., Zhao, K. & Song, Y. (2022). Decentralized adaptive control of uncertain interconnected systems with triggering state signals. Automatica, 141, 110283-. https://dx.doi.org/10.1016/j.automatica.2022.110283 0005-1098 https://hdl.handle.net/10356/163541 10.1016/j.automatica.2022.110283 2-s2.0-85128196273 141 110283 en Automatica © 2022 Elsevier Ltd. All rights reserved.
spellingShingle Engineering::Electrical and electronic engineering
Adaptive Control
Backstepping
Zhang, Zhirong
Wen, Changyun
Zhao, Kai
Song, Yongduan
Decentralized adaptive control of uncertain interconnected systems with triggering state signals
title Decentralized adaptive control of uncertain interconnected systems with triggering state signals
title_full Decentralized adaptive control of uncertain interconnected systems with triggering state signals
title_fullStr Decentralized adaptive control of uncertain interconnected systems with triggering state signals
title_full_unstemmed Decentralized adaptive control of uncertain interconnected systems with triggering state signals
title_short Decentralized adaptive control of uncertain interconnected systems with triggering state signals
title_sort decentralized adaptive control of uncertain interconnected systems with triggering state signals
topic Engineering::Electrical and electronic engineering
Adaptive Control
Backstepping
url https://hdl.handle.net/10356/163541
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AT songyongduan decentralizedadaptivecontrolofuncertaininterconnectedsystemswithtriggeringstatesignals