Glocal (global/local) control synthesis for hierarchical networked systems

Hara, Shinji; Imura, Jun-ichi; Tsumura, Koji; Ishizaki, Takayuki; Sadamoto, Tomonori

doi:10.1109/cca.2015.7320618

Cited by 27 publications

(22 citation statements)

References 6 publications

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“…We see from (9) that the upper-layered controller K 0 plays the role of "global" control: the controller is driven by the averaged behaviour of the sub-plants {P i } and broadcasts a baseline control signal to the subcontrollers {K i } [8]. Each sub-controller K i , namely, lower-layered controller, is described in the parametrized form:…”

Section: System Descriptionmentioning

confidence: 99%

“…In the bi-layered control, multiple local sub-controllers {K i } i∈{1,...,n} are dispersively installed below the global controller K 0 . A similar controller structure can be seen in the concept of glocal control [8], where independently defined global/local objectives are achieved simultaneously. On the other hand, the bi-layered control in this article pursues a common objective by the cooperative design of K 0 and {K i }.…”

Section: Introductionmentioning

confidence: 99%

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Safe-update of bi-layered controller and its application to power systems

Homma

Inoue

Imura

et al. 2021

SICE Journal of Control, Measurement, and System Integration

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In real-world social infrastructures such as power systems, proven controllers are already implemented and operated stably. To further improve the control performance reliably, bi-layered control with inheriting the existing controller is proposed: the existing controller generates the baseline control signal in the upper layer, while multiple sub-controllers individually coordinate the signal to actuate the infrastructure system in the lower layer. The sub-controllers are characterized by few parameters that represent the degree of coordination. Then, the update strategy of the parameter with guaranteeing the safety of the overall system is proposed. The effectiveness of the bi-layered control is shown via a numerical experiment with a power system model.

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Section: System Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Safe-update of bi-layered controller and its application to power systems

Homma

Inoue

Imura

et al. 2021

SICE Journal of Control, Measurement, and System Integration

Self Cite

View full text Add to dashboard Cite

show abstract

“…3, we guarantee the local asymptotic stability and the synchronization by considering the dissipativity of S i with respect to this new input and output. This change can be regarded as a typical example where the middle layer proposed in [22] efficiently works in a framework of hierarchical networked systems.…”

Section: Remarkmentioning

confidence: 99%

Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids

Kojima

Susuki

Hara

2019

SICE Journal of Control, Measurement, and System Integration

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This paper pursues to construct a theoretical framework which can efficiently capture the dynamics of largescale heterogeneous power grids. We formulate a networked nonlinear descriptor system consisting of subsystems and network system as a mathematical abstraction of such grids. This descriptor representation of the system enables us to consider efficient analysis and control of the system while preserving its network topology. As a main result, we clarify the dissipativity of the systems and derive a sufficient condition for local asymptotic stability of partial states and synchronization based on the dissipativity. We apply these results to a power grid described by a structure-preserving model, showing their effectiveness in an engineering problem.

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“…The literature for developing tangible and yet simple low-dimensional controllers that satisfy global stability and dynamic performance requirements of very large NDS is still unfortunately sparse. Ideas on aggregate control [8], glocal control [9] and hierarchical control [10], [11] have recently been proposed to address this challenge. The goal of these designs, however, is to guarantee stability by modular tuning of local controller gains; their degrees of freedom for guaranteeing performance can be limited.…”

Section: Introductionmentioning

confidence: 99%

LQG control of large networks: A clustering-based approach

Xue

Chakrabortty

2017

2017 American Control Conference (ACC)

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In this paper we present a set of projection-based designs for constructing simplified linear quadratic regulator (LQR) controllers for large-scale network systems. When such systems have tens of thousands of states, the design of conventional LQR controllers becomes numerically challenging, and their implementation requires a large number of communication links. Our proposed algorithms bypass these difficulties by clustering the system states using structural properties of its closed-loop transfer matrix. The assignment of clusters is defined through a structured projection matrix P , which leads to a significantly lower-dimensional LQR design. The reduced-order controller is finally projected back to the original coordinates via an inverse projection. The problem is, therefore, posed as a model matching problem of finding the optimal set of clusters or P that minimizes the H2-norm of the error between the transfer matrix of the full-order network with the full-order LQR and that with the projected LQR. We derive a tractable relaxation for this model matching problem, and design a P that solves the relaxation. The design is shown to be implementable by a convenient, hierarchical two-layer control architecture, requiring far less number of communication links than full-order LQR.Index Terms-Clustering, Large-scale networks, Projection, LQR, H2 performance.2) Reduced-order LQR design: We similarly project the LQR parameters byQ = P QP T ∈ R r×r , and letR = R such thatG :=BR −1B = P GP T ∈ R r×r . An LQR problem for the reduced-order model (6) is then posed as to minimizẽ J := ∞ 0

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Glocal (global/local) control synthesis for hierarchical networked systems

Cited by 27 publications

References 6 publications

Safe-update of bi-layered controller and its application to power systems

Safe-update of bi-layered controller and its application to power systems

Dissipativity-Based Stability Analysis of Networked Nonlinear Descriptor Systems and Its Application to Power Grids

LQG control of large networks: A clustering-based approach

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