Boundary adaptive synchronization of networked PDEs with adaptive parameter estimators

Demetriou, Michael A.

doi:10.1016/j.ifacol.2016.07.448

Cited by 7 publications

(3 citation statements)

References 15 publications

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“…Of course, when the networked systems (1) are SISO (q = 1), then the aforementioned statement simplifies to the representation in an earlier work of the author 9 withĖ = ( m − L)E, L ∈ Θ(G). When the gains ij in (10), (equivalently the gains L i j in (12), are constant, then the aggregate system (13) In order to provide a performance measure for guiding the selection of the gains L ij , one may consider the distance of each state x i (t) from the average state 1 N ∑ N =1 x (t); the ith deviation from the mean is defined as…”

Section: Design and Optimization Of Static Output-feedback Synchronizmentioning

confidence: 99%

“…where R(t) ≜ L(t)⊗I q , and L(t) is the matrix of the adaptive synchronization gains i j (t) when placed in a form similar to (12), ie,̇e…”

Section: Application Of the Bellman-gronwall Lemma Reveals That |Pmentioning

confidence: 99%

“…However, the adaptive laws proposed in an earlier work 9 imposed a collocation condition on the input and output operators. Similarly, another work of the author 12 used the collocation assumption to implement adaptive synchronization controllers for the regulation of networked infinite dimensional systems. This collocation of input and output operators in the synchronization control of networked infinite dimensional systems is restrictive.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive and optimal synchronization control of networked positive real infinite dimensional systems with virtual leader

Demetriou

2018

Adaptive Control & Signal

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This paper considers the design of synchronization controllers for a class of networked infinite dimensional positive real systems, which include partial differential equations with boundary or in-domain actuation and sensing. The proposed distributed controllers have one component addressing a tracking objective based on static output feedback and another component addressing a synchronization objective. One method of selecting the synchronization gains is to consider the aggregate form of the networked systems and minimize an associated energy function of the resulting closed-loop system parameterized by the synchronization gains. Thus, the optimal synchronization gains are found as the ones that minimize the trace of the solution to a parameterized operator Lyapunov equation. The adaptation of the synchronization gains constitutes an alternative method for their selection and uses a Lyapunov redesign approach to derive the update laws, which depend on local decentralized strategies. An extension dealing with restricted virtual leader information necessitating modifications to the proposed control laws is also considered and presented. Numerical studies for selecting the synchronization gains via an optimization of an associated performance metric as well as via time-variation through adaptation are presented for one-dimensional diffusion partial differential equations.

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Section: Design and Optimization Of Static Output-feedback Synchronizmentioning

confidence: 99%

“…where R(t) ≜ L(t)⊗I q , and L(t) is the matrix of the adaptive synchronization gains i j (t) when placed in a form similar to (12), ie,̇e…”

Section: Application Of the Bellman-gronwall Lemma Reveals That |Pmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive and optimal synchronization control of networked positive real infinite dimensional systems with virtual leader

Demetriou

2018

Adaptive Control & Signal

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Design of adaptive output feedback synchronizing controllers for networked PDEs with boundary and in-domain structured perturbations and disturbances

Demetriou

2018

Automatica

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Synchronizing controller design for networked heat equations with boundary structured time-varying perturbations and general disturbances

Zong

Zheng

Wei

et al. 2021

Journal of Process Control

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Boundary adaptive synchronization of networked PDEs with adaptive parameter estimators

Cited by 7 publications

References 15 publications

Adaptive and optimal synchronization control of networked positive real infinite dimensional systems with virtual leader

Adaptive and optimal synchronization control of networked positive real infinite dimensional systems with virtual leader

Design of adaptive output feedback synchronizing controllers for networked PDEs with boundary and in-domain structured perturbations and disturbances

Synchronizing controller design for networked heat equations with boundary structured time-varying perturbations and general disturbances

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