Linear Weakly Hard Real-Time Control Systems: Time- and Event-Triggered Stabilization

Linsenmayer, Steffen; Hertneck, Michael; Allgöwer, Frank

doi:10.1109/tac.2020.3000981

Cited by 15 publications

(15 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Michel et al (2015)) and WHRT graphs (cf. Linsenmayer et al (2020)) to obtain a sufficient condition for asymptotic stability. The proposed approach can be used for a wide class of nonlinear systems and is less conservative than considering only the maximum number of dropouts.…”

Section: Plantmentioning

confidence: 99%

“…As in the recent works Blind and Allgöwer (2015); Linsenmayer and Allgöwer (2017); Linsenmayer et al (2020), we use WHRT constraints to model the loss process, i.e., to specify the sequence ν from the previous subsection. Thus, we shall also use the following definitions that are taken from Bernat et al (2001) and Blind and Allgöwer (2015).…”

Section: Weakly Hard Real-time Constraintsmentioning

confidence: 99%

“…Henceforth, we use the graph representation for WHRT constraints, that has been proposed in Linsenmayer and Allgöwer (2017) and extended in Linsenmayer et al (2020), to capture all possible transmission sequences that satisfy a constraint η. A labeled directed graph is described by a tuple G = (V, E), where V = {v 1 , .…”

Section: Weakly Hard Real-time Constraintsmentioning

confidence: 99%

“…In van Horssen et al (2016), the problem of controlling a linear system with an (m, k)-firmness dropout description has been investigated. For linear systems with general WHRT constraints as dropout description, a sufficient stability condition was proposed in Blind and Allgöwer (2015) and controller design methods have been presented in Linsenmayer and Allgöwer (2017); Linsenmayer et al (2020). Conditions for observability and controllability for linear systems with a similar dropout model have been presented in Jungers et al (2018).…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems

Hertneck¹,

Linsenmayer²,

Allgöwer³

2020

Preprint

Self Cite

View full text Add to dashboard Cite

This paper considers the stability analysis for nonlinear sampled-data systems with failures in the feedback loop. The failures are caused by shared resources, and modeled by a weakly hard real-time (WHRT) dropout description. The WHRT dropout description restricts the considered dropout sequences with a non-probabilistic, window based constraint, that originates from schedulability analysis. The proposed approach is based on the emulation of a controller for the nonlinear sampled-data system from a continuous-time feedback. The emulation technique is extended and combined with non-monotonic Lyapunov functions and a graph description for the WHRT constraints to guarantee asymptotic stability. The effectiveness of the proposed approach is illustrated with a numerical example from literature. This paper is the accepted version of Hertneck et al. (2020), containing also proofs of the main results.

show abstract

Section: Plantmentioning

confidence: 99%

Section: Weakly Hard Real-time Constraintsmentioning

confidence: 99%

Section: Weakly Hard Real-time Constraintsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems

Hertneck¹,

Linsenmayer²,

Allgöwer³

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…In particular, the works in [30] and [31] study the stability of networked control systems where packet dropouts (or system faults) are bounded using the (m, k) constraint model. This model is equivalent to the case where deadline misses represent discarded computations, but its results can not be generalized for the other common case of late completions.…”

Section: Introductionmentioning

confidence: 99%

Stability of Control Systems under Extended Weakly-Hard Constraints

Vreman¹,

Pazzaglia²,

Wang³

et al. 2021

Preprint

View full text Add to dashboard Cite

Control systems can show robustness to many events, like disturbances and model inaccuracies. It is natural to speculate that they are also robust to alterations of the control signal pattern, due to sporadic late completions (called deadline misses) when implemented as a digital task on an embedded platform. Recent research analysed stability when imposing constraints on the maximum number of consecutive deadlines that can be missed. This is only one type of characterization, and results in a pessimistic analysis when applied to more general cases. To overcome this limitation, this paper proposes a comprehensive stability analysis for control systems subject to a set of generic constraints, describing the possible sequences of correct completions and deadline misses. The proposed analysis brings the assessment of control systems robustness to computational problems one step closer to the controller implementation.

show abstract

Multi‐stage dynamic event‐triggered containment control of nonlinear multi‐agent systems with input‐bounded leaders and time‐varying delay

Lihong

Huang

Sun

et al. 2022

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article immerses in the event‐triggered containment control problem for a Lipschitz‐like nonlinear multi‐agent system with multiple active leaders. First, two event‐triggered mechanisms with internal dynamic variables are designed in both sensor‐observer (S‐O) and controller‐actuator (C‐A) channels to monitor data transmission and reduce communication burden. Second, an observer is constructed with the aid of the output information to estimate the states that cannot be acquired directly. Then, a control protocol considering time‐varying communications delays is proposed based on the observer. Third, the boundedness analysis of the containment error system is constructed by Lyapunov stability theory, the sufficient conditions are given in light of strict feasible LMIs. Finally, the validity of the proposed controller is verified by two simulations.

show abstract

Linear Weakly Hard Real-Time Control Systems: Time- and Event-Triggered Stabilization

Cited by 15 publications

References 29 publications

Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems

Stability Analysis for Nonlinear Weakly Hard Real-Time Control Systems

Stability of Control Systems under Extended Weakly-Hard Constraints

Multi‐stage dynamic event‐triggered containment control of nonlinear multi‐agent systems with input‐bounded leaders and time‐varying delay

Contact Info

Product

Resources

About