Decentralized Design and Plug-and-Play Distributed Control for Linear Multi-Channel Systems

Kim, Taekyoo; Lee, Donggil; Shim, Hyungbo

doi:10.48550/arxiv.2011.09735

Cited by 2 publications

(5 citation statements)

References 24 publications

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“…The steps involved in doing this are essentially the same as the steps involved in deriving (37). Not surprisingly, the only difference between (37) and ( 60) is the inclusion in the latter of the term P Γ s (k)x((s − 1)T ).…”

Section: Event-time Mismatch -A Robustness Issuementioning

confidence: 99%

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A Hybrid Observer for Estimating the State of a Distributed Linear System

Wang¹,

Liu²,

Morse³

2022

Preprint

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A hybrid observer is described for estimating the state of an m > 0 channel, n-dimensional, continuous-time, linear system of the form ẋ = Ax, yi = Cix, i ∈ {1, 2, . . . , m}. The system's state x is simultaneously estimated by m agents assuming each agent i senses yi and receives appropriately defined data from each of its current neighbors. Neighbor relations are characterized by a time-varying directed graph N(t) whose vertices correspond to agents and whose arcs depict neighbor relations. Agent i updates its estimate xi of x at "event times" ti1, ti2, ti3, . . . using a local continuous-time linear observer and a local parameter estimator which iterates q times during each event time interval [t i(s−1) , tis), s ≥ 1 to obtain an estimate of x(tis). Subject to the assumptions that none of the Ci's are zero, the neighbor graph N(t) is strongly connected for all time, and the system whose state is to be estimated is jointly observable, it is shown that for any number λ > 0, it is possible to choose q and the local observer gains so that each estimate xi converges to x at least as fast as e −λt does. This result holds whether or not agents communicate synchronously, although in the asynchronous case it is necessary to assume that N(t) changes in a suitably defined sense. Exponential convergence is also assured if the event time sequences of the m agents are slightly different than each other, although in this case only if the system being observed is exponentially stable; this limitation however, is primarily a robustness issue shared by all state estimators, centralized or not, which are operating in "open loop" in the face of small modeling errors. The result also holds facing abrupt changes in the number of vertices and arcs in the inter-agent communication graph upon which the algorithm depends.

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Section: Event-time Mismatch -A Robustness Issuementioning

confidence: 99%

“…In fact, until recently there appeared to be only one of distributed observer which could be used in a feedback configuration thereby avoiding the robustness issue just mentioned [36]. However, recent research suggests other approach may emerge [37].…”

Section: Event-time Mismatch -A Robustness Issuementioning

confidence: 99%

A Hybrid Observer for Estimating the State of a Distributed Linear System

Wang¹,

Liu²,

Morse³

2022

Preprint

View full text Add to dashboard Cite

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“…where xi (t) ∈ R n is agent i's estimate of the overall state. Motivated by the distributed observer in [19], this estimate is computed according to…”

Section: State Estimationmentioning

confidence: 99%

“…Proof: Applying Lemma 2 to the system in (10) implies that if (19) is satisfied, then the system in ( 10) is quadratically 0-bounded. Lemma 1 and Definition 2 imply that if x(0) ∈ E x , then x(t) ∈ E x ∀t ≥ 0.…”

Section: Definition 2 ( [20])mentioning

confidence: 99%

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Reducing Attack Vulnerabilities Through Decentralized Event-Triggered Control

Griffioen

Romagnoli

Krogh

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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Decentralized control systems are widely used in a number of situations and applications. In order for these systems to function properly and achieve their desired goals, information must be propagated between agents, which requires connecting to a network. To reduce opportunities for attacks that may be carried out through the network, we design an event-triggered mechanism for network connection and communication that minimizes the amount of time agents must be connected to the network, in turn decreasing communication costs. This mechanism is a function of only local information and ensures stability for the overall system in attack-free scenarios. Our approach distinguishes itself from current decentralized event-triggered control strategies by considering scenarios where agents are not always connected to the network to receive critical information from other agents and by considering scenarios where the communication graph is undirected and connected. An algorithm describing this network connection and communication protocol is provided, and our approach is illustrated via simulation.

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Decentralized Design and Plug-and-Play Distributed Control for Linear Multi-Channel Systems

Cited by 2 publications

References 24 publications

A Hybrid Observer for Estimating the State of a Distributed Linear System

A Hybrid Observer for Estimating the State of a Distributed Linear System

Reducing Attack Vulnerabilities Through Decentralized Event-Triggered Control

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