Improved stability conditions for systems under aperiodic sampling: model- and data-based analysis

Wildhagen, Stefan; Berberich, Julian; Hirche, Matthias; Allgöwer, Frank

doi:10.1109/cdc45484.2021.9682944

Cited by 4 publications

(6 citation statements)

References 23 publications

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“…Then, the Schur Complement Lemma renders (38) and (39) equivalent to (32) and (33). Similar to Theorem 1, we conclude that System (3) is asymptotically stable under triggering condition (14) for any [A B] ∈ Σ s , and 𝜂(𝜏 k j ) converges to the origin, which completes the proof.…”

Section: Theorem 2 (Data-based Condition With Unknown a And B) For Gi...supporting

confidence: 74%

“…29 An extension studying data-driven system stabilization as well as robustness guarantees for systems with time-delays and measurement noise was recently investigated, 30 and sampled-data formulations have been addressed in articles. 31,32 Moreover, wedding the data-driven system representation 23 with the input-delay approach to sampled-data control, a data-based stability condition for continuous-time sampled-data control systems was derived in article, 33 along with a data-driven controller. Nonetheless, these results [31][32][33] are only applicable to the systems with periodic sampling, without considering any intelligent transmission strategy.…”

Section: Introductionmentioning

confidence: 99%

“…31,32 Moreover, wedding the data-driven system representation 23 with the input-delay approach to sampled-data control, a data-based stability condition for continuous-time sampled-data control systems was derived in article, 33 along with a data-driven controller. Nonetheless, these results [31][32][33] are only applicable to the systems with periodic sampling, without considering any intelligent transmission strategy.…”

Section: Introductionmentioning

confidence: 99%

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Data‐driven control of dynamic event‐triggered systems with delays

Wang

Sun

Berberich

et al. 2023

Intl J Robust & Nonlinear

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This article studies data‐driven control of unknown sampled‐data linear systems with communication delays under an event‐triggering transmission mechanism. While event‐triggered control has received much attention in the existing literature, its design and implementation typically require detailed model knowledge. Due to the difficulties in finding accurate models and the abundance of data in many practical applications, we propose a novel data‐driven event‐triggered control scheme for unknown, delayed systems with theoretical guarantees. To this end, as a first step, a model‐based stability condition for the resulting event‐triggered time‐delay system is established using a novel looped‐functional approach. Combining this model‐based condition with the data‐driven representation of linear systems, a data‐based stability condition is derived. Further, methods for co‐designing the controller gain and the event‐triggering matrix are subsequently provided without using any prior knowledge of the system matrices. Finally, numerical examples are presented to corroborate the merits of the proposed data‐driven event‐triggered control schemes relative to existing results.

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Section: Theorem 2 (Data-based Condition With Unknown a And B) For Gi...supporting

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Data‐driven control of dynamic event‐triggered systems with delays

Wang

Sun

Berberich

et al. 2023

Intl J Robust & Nonlinear

Self Cite

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“…By invoking the data-based representation, the data-based MSI estimation of aperiodic sampled-data systems has been discussed. [19][20][21] The data-based analysis and control for dynamic ETC and self-triggered control systems were also considered. 22,23 It is known that the detecting interval needs to be chosen in advance for different triggering parameters in PETC.…”

Section: Introductionmentioning

confidence: 99%

“…The maximum sampling interval (MSI) is important to ensure the stability and performance of the sampled‐data control systems. By invoking the data‐based representation, the data‐based MSI estimation of aperiodic sampled‐data systems has been discussed 19‐21 . The data‐based analysis and control for dynamic ETC and self‐triggered control systems were also considered 22,23 .…”

Section: Introductionmentioning

confidence: 99%

Data‐driven analysis and control of periodic event‐triggered continuous‐time systems

Wei

Liu

et al. 2023

Intl J Robust & Nonlinear

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This article is concerned with data-driven analysis and controller design for continuous-time sampled-data systems. The linear system considered in this paper is controlled under the periodic event-triggering transmission mechanism. Firstly, the periodic event-triggered control (PETC) systems are modeled and analyzed by the time-delay approach. And model-based stability conditions are presented by invoking the Lyapunov stability approach. Secondly, based on the model-based conditions and a popular data-based representation, data-based stability criteria are deduced by using only noisy data. The stability criteria guarantee the stability properties robustly for all unknown systems consistent with the measured data. The data-driven estimation of the maximum detecting interval (MDI) is also obtained directly without model knowledge. Beyond that, the data-based method for the controller design as well as computing a possibly large MDI under various triggering parameters is put forth. Finally, the effectiveness of the proposed methods is demonstrated by the numerical simulation and the hardware-in-the-loop (HIL) experiment.

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