Event-Triggered Control Through the Eyes of a Hybrid Small-Gain Theorem

A unifying design perspective is presented for emulation-based (dynamic) event-triggered state-feedback control of nonlinear systems. The main component of this new approach is to interpret event-triggered controlled systems as the interconnection of hybrid dynamical systems and to analyse the overa...

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Published inIEEE transactions on automatic control Vol. 68; no. 10; pp. 1 - 16
Main Authors Maass, Alejandro I., Wang, Wei, Nesic, Dragan, Postoyan, Romain, Heemels, W.P.M.H.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects
Automatic
Dynamical systems
Engineering Sciences
Event triggered control
Feedback control
Hybrid systems
networked control systems
Nonlinear control
Nonlinear systems
small-gain theorem
State feedback
Theorems
networked control systems
hybrid systems
Event-triggered control
small-gain theorem
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Abstract A unifying design perspective is presented for emulation-based (dynamic) event-triggered state-feedback control of nonlinear systems. The main component of this new approach is to interpret event-triggered controlled systems as the interconnection of hybrid dynamical systems and to analyse the overall system using a hybrid small gain theorem. Based on this new perspective, we unify several event-triggered schemes that were previously proposed in the literature under one umbrella. Moreover, the design approach offers great flexibility and can be used for the development of novel event-triggered schemes and systematic modification and improvement of existing triggering strategies. We illustrate via simulations that these novel and/or modified event-triggered controllers can lead to a further reduction in the required number of transmissions, while still guaranteeing stability.
AbstractList A unifying design perspective is presented for emulation-based (dynamic) event-triggered state-feedback control of nonlinear systems. The main component of this new approach is to interpret event-triggered controlled systems as the interconnection of hybrid dynamical systems and to analyze the overall system using a hybrid small gain theorem. Based on this new perspective, we unify several event-triggered schemes that were previously proposed in the literature under one umbrella. Moreover, the design approach offers great flexibility and can be used for the development of novel event-triggered schemes and systematic modification and improvement of existing triggering strategies. In this article, we illustrate via simulations that these novel and/or modified event-triggered controllers can lead to a further reduction in the required number of transmissions, while still guaranteeing stability.
A unifying design perspective is presented for emulation-based (dynamic) event-triggered state-feedback control of nonlinear systems. The main component of this new approach is to interpret event-triggered controlled systems as the interconnection of hybrid dynamical systems and to analyse the overall system using a hybrid small gain theorem. Based on this new perspective, we unify several event-triggered schemes that were previously proposed in the literature under one umbrella. Moreover, the design approach offers great flexibility and can be used for the development of novel event-triggered schemes and systematic modification and improvement of existing triggering strategies. We illustrate via simulations that these novel and/or modified event-triggered controllers can lead to a further reduction in the required number of transmissions, while still guaranteeing stability.
Author Postoyan, Romain
Heemels, W.P.M.H.
Wang, Wei
Nesic, Dragan
Maass, Alejandro I.
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Snippet A unifying design perspective is presented for emulation-based (dynamic) event-triggered state-feedback control of nonlinear systems. The main component of...
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SubjectTerms Automatic
Dynamical systems
Engineering Sciences
Event triggered control
Feedback control
Hybrid systems
networked control systems
Nonlinear control
Nonlinear systems
small-gain theorem
State feedback
Theorems
Title Event-Triggered Control Through the Eyes of a Hybrid Small-Gain Theorem
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