Event-Triggered Output Feedback Stabilization via Dynamic High-Gain Scaling

Peralez, Johan; Andrieu, Vincent; Nadri, Madiha; Serres, Ulysse

doi:10.1109/tac.2018.2794413

Cited by 52 publications

(31 citation statements)

References 30 publications

(63 reference statements)

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“…This exponentially convergent term γe − λt can be used to adjust the triggering frequency during the initial stage. Third, the highest powers of the high‐gain parameters in are r or r +1, while here the highest power of the high‐gain parameter in is only 1.…”

Section: Event‐triggered Casade High‐gain Observer With Saturationmentioning

confidence: 87%

“…By far, a variety of event‐triggered control problems have been studied such as event‐triggered stabilization problem, event‐triggered tracking problem, event‐triggered output regulation problem, event‐triggered state estimation problem, and so on. It is worth mentioning that the event‐triggered high‐gain observer plays an important role in References , , and . Specifically, in Reference , an event‐triggered dynamic high‐gain observer was designed to estimate the state of a class of nonlinear systems satisfying the growth condition, and then an event‐triggered observer‐based output feedback control law was designed to solve the stabilization for the class of nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

“…It is worth mentioning that the event‐triggered high‐gain observer plays an important role in References , , and . Specifically, in Reference , an event‐triggered dynamic high‐gain observer was designed to estimate the state of a class of nonlinear systems satisfying the growth condition, and then an event‐triggered observer‐based output feedback control law was designed to solve the stabilization for the class of nonlinear systems. In Reference , an event‐triggered high‐gain observer‐based output feedback control law was designed to solve the robust practical output regulation problem for a class of linear minimum‐phase systems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Event‐triggered cascade high‐gain observer and its application

Liu

Huang

2020

Intl J Robust & Nonlinear

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Summary In this article, we consider the event‐triggered cascade high‐gain observer (ETCHGO) for a class of nonlinear systems. By cascading lower dimensional observers, we design a cascade high‐gain observer together with a Zeno‐free event‐triggered mechanism to estimate the state of the plant. We show that the ETCHGO has the same steady‐state performance as the continuous‐time cascade high‐gain observer, that is, there is a finite time after which the estimation error will not exceed the given threshold, and moreover, the finite time and the threshold can be made sufficiently small by adjusting some design parameters. We also investigate an ETCHGO with saturation, which will reduce the peaking value while maintaining the steady‐state estimation performance. Furthermore, we use the ETCHGO with saturation to solve the output feedback stabilization problem for a class of nonlinear systems. An example is given to illustrate our results.

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Section: Event‐triggered Casade High‐gain Observer With Saturationmentioning

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Event‐triggered cascade high‐gain observer and its application

Liu

Huang

2020

Intl J Robust & Nonlinear

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“…Due to this fact, the output‐based event‐triggered control is studied by many researchers under different problem setups. The stability of the event‐triggered system with only one triggering mechanism is analyzed, in which both the output transmission and the control application to the plant take place simultaneously . However, due to this, some conservatism are introduced in this event‐triggering approach.…”

Section: Introductionmentioning

confidence: 99%

“…It is shown that the desired stability of system can be achieved for sufficiently small sampling period (depends on the high‐gain parameter) or with a dual‐mode strategy for the observer for a given sampling period. However, the stability issues of output feedback stabilization in the event‐based design have not been fully explored except for a few works . Recently, the robust‐state estimation using event‐triggered extended state observer is proposed .…”

Section: Introductionmentioning

confidence: 99%

Robust feedback stabilization using high‐gain observer via event triggering

Behera

Shim

2020

Intl J Robust & Nonlinear

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Summary In this article, the problem of robust output feedback stabilization of single‐input single‐output nonlinear systems is studied in the event‐triggering framework. In this work, an event‐triggered output feedback law based on a high‐gain observer is constructed, which guarantees the stability of closed‐loop system. First, the high‐gain observer with a triggering scheme is designed to estimate the plant state in the presence of external disturbances subject to any satisfactory accuracy of the estimation error. The observer‐based triggering mechanism decides the transmission of plant output to the observer by observing a certain event condition. Similarly, another triggering mechanism is designed using the estimated state of observer that triggers the control signal to be updated only when it is satisfied. Under this proposed event‐triggering framework, the stability of closed‐loop system is then analyzed. Here, we provide the simplified design technique, in which the high‐gain parameter and the triggering thresholds can be selected independently to achieve any desired bound for the plant trajectory. The results are finally demonstrated through simulation of a numerical example.

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Event‐triggered adaptive output feedback regulation of a chain of integrators with an unknown time‐varying delay in the input

Oh,

Choi

2024

Adaptive Control & Signal

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SummaryWe consider a global regulation problem for a chain of integrators with an unknown time‐varying input delay by event‐triggered output feedback control. We show that the considered system is globally regulated by the proposed event‐triggered output feedback controller with a dynamic gain‐scaling factor. Moreover, we show that interexecution times are lower bounded and these lower bounds can be increased with our control method. An example is given for clear illustration.

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Event-Triggered Output Feedback Stabilization via Dynamic High-Gain Scaling

Cited by 52 publications

References 30 publications

Event‐triggered cascade high‐gain observer and its application

Event‐triggered cascade high‐gain observer and its application

Robust feedback stabilization using high‐gain observer via event triggering

Event‐triggered adaptive output feedback regulation of a chain of integrators with an unknown time‐varying delay in the input

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