A hybrid observer for estimating the state of a distributed linear system

Wang, Lili; Liu, Ji; Morse, A. Stephen

doi:10.1016/j.automatica.2022.110633

Cited by 13 publications

(6 citation statements)

References 27 publications

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“…All the proposed continuous-time distributed estimators, except for the adaptive one, are inherently resilient to these abrupt changes provided the network is redundantly strongly connected and redundantly jointly observable, with a careful gain picking before the algorithm starts. Details can be found in Section 5 of [20]. The same resilient property is also possessed by the discrete-time distributed estimators to be developed in the next section.…”

Section: Resiliencementioning

confidence: 96%

“…The concept of a passively resilient algorithm is proposed in [20]. By a passively resilient algorithm for a distributed process is meant an algorithm which, by exploiting built-in network and data redundancies, is able to continue to function correctly in the face of abrupt changes in the number of vertices and arcs in the interagent communication graph upon which the algorithm depends.…”

Section: Resiliencementioning

confidence: 99%

“…For the problem just described, the existing literature can be classified into two categories, namely continuousand discrete-time estimators/observers, except for our earlier work of [16,20] in which a hybrid observer was proposed for a continuous-time linear system. Continuous-time distributed estimators have recently appeared in [11,[13][14][15]21].…”

Section: Introductionmentioning

confidence: 99%

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Distributed State Estimation for Linear Systems

Wang¹,

Liu²,

Morse³

et al. 2022

Preprint

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This paper studies a distributed state estimation problem for both continuous-and discrete-time linear systems. A simply structured distributed estimator is first described for estimating the state of a continuous-time, jointly observable, input free, multi-channel linear system whose sensed outputs are distributed across a fixed multi-agent network. The estimator is then extended to non-stationary networks whose graphs switch according to a switching signal with a fixed dwell time or a variable but with fixed average dwell time, or switch arbitrarily under appropriate assumptions. The estimator is guaranteed to solve the problem, provided a network-widely shared gain is sufficiently large. As an alternative to sharing a common gain across the network, a fully distributed version of the estimator is thus studied in which each agent adaptively adjusts a local gain though the practicality of this approach is subject to a robustness issue common to adaptive control. A discrete-time version of the distributed state estimation problem is also studied, and a corresponding estimator is proposed for time-varying networks. For each scenario, it is explained how to construct the estimator so that its state estimation errors all converge to zero exponentially fast at a fixed but arbitrarily chosen rate, provided the network's graph is strongly connected for all time. This is accomplished by appealing to the "split-spectrum" approach and exploiting several well-known properties of invariant subspace. The proposed estimators are inherently resilient to abrupt changes in the number of agents and communication links in the inter-agent communication graph upon which the algorithms depend, provided the network is redundantly strongly connected and redundantly jointly observable.

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Section: Resiliencementioning

confidence: 96%

Section: Resiliencementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Distributed State Estimation for Linear Systems

Wang¹,

Liu²,

Morse³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In the current literature, the existing studies on distributed observers include continuous-time, [8][9][10][11][12] discrete-time 10 and hybrid settings. 21 In this article, only continuous-time targeted systems are considered. Recall that distributed observer design in continuous-time settings includes distributed observer design of linear systems [8][9][10][11] and nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Designing a completely distributed observer with robustness against disturbances

Wang,

Zhang,

et al. 2024

Intl J Robust & Nonlinear

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Distributed observer is an effective scheme for state estimation of a targeted system, utilizing a network of sensors to perform local output measurements. In this article, the problem of designing a distributed observer for a linear time‐invariant system with external disturbances is addressed. The objective is to perform state estimation of such a system while simultaneously mitigating the impact of external disturbances and maintaining the distributed communication characteristics among the sensors. To achieve this, a completely distributed observer with robustness against disturbances is developed by combining the high‐gain observer technique and the adaptive coupling strength strategy. Initially, a traditional high‐gain observer is used for the state estimation on the observable subsystem, and subsequently a high‐gain observer without peaking is introduced to avoid the peaking phenomenon. Finally, numerical simulations are presented to verify the theoretical results.

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“…A multi-observer consists of a bank of observers that run in parallel. It has been used in the literature in a range of different contexts, including improvement of the sensitivity to measurement noise and/or reduction of the undesired overshoot during the transient (e.g., [9], [10] for high-gain observer and [17] for KKL observer), joint stateparameter estimation (e.g., [18]- [21]) or distributed observers (e.g., [22]- [24]). In this paper, we propose a new problem formulation that we believe has not yet been addressed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Towards improving the estimation performance of a given nonlinear observer: a multi-observer approach

Petri

Astolfi

Nešić

et al. 2022

2022 IEEE 61st Conference on Decision and Control (CDC)

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Effective management and just-in-time maintenance of lithium-ion batteries require the knowledge of unmeasured (internal) variables that need to be estimated. Observers are thus designed for this purpose using a mathematical model of the battery internal dynamics. It appears that it is often difficult to tune the observers to obtain good estimation performances both in terms of convergence speed and accuracy, while these are essential in practice. In this context, we demonstrate how a recently developed hybrid multiobserver can be used to improve the performance of a given observer designed for an electrochemical model of a lihium-ion battery. Simulation results, obtained with standard parameters values, show the estimation performance improvement using the proposed method.

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A hybrid observer for estimating the state of a distributed linear system

Cited by 13 publications

References 27 publications

Distributed State Estimation for Linear Systems

Distributed State Estimation for Linear Systems

Designing a completely distributed observer with robustness against disturbances

Towards improving the estimation performance of a given nonlinear observer: a multi-observer approach

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