Hierarchical distributed control for networked linear systems

Sadamoto, Tomonori; Ishizaki, Takayuki; Imura, Jun-ichi

doi:10.1109/cdc.2014.7039762

Cited by 26 publications

(19 citation statements)

References 7 publications

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“…This contrasts with the proposed retrofit control, which enables the systematic distributed design of decentralized control. This paper builds on preliminary versions, unifying the results of hierarchical distributed control in [Sadamoto et al, 2014] and nonlinear retrofit control [Sadamoto et al, 2016] on the basis of the parameterized hierarchical state-space expansion. This paper also provides detailed mathematical proofs and extensive numerical examples to underline the significance of the retrofit control.…”

Section: Introductionmentioning

confidence: 99%

Retrofit control: Localization of controller design and implementation

et al. 2018

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In this paper, we propose a retrofit control method for stable network systems. The proposed approach is a control method that, rather than an entire system model, requires a model of the subsystem of interest for controller design. To design the retrofit controller, we use a novel approach based on hierarchical state-space expansion that generates a higher-dimensional cascade realization of a given network system. The upstream dynamics of the cascade realization corresponds to an isolated model of the subsystem of interest, which is stabilized by a local controller. The downstream dynamics can be seen as a dynamical model representing the propagation of interference signals among subsystems, the stability of which is equivalent to that of the original system. This cascade structure enables a systematic analysis of both the stability and control performance of the resultant closed-loop system. The resultant retrofit controller is formed as a cascade interconnection of the local controller and an output rectifier that rectifies an output signal of the subsystem of interest so as to conform to an output signal of the isolated subsystem model while acquiring complementary signals neglected in the local controller design, such as interconnection signals from neighboring subsystems. Finally, the efficiency of the retrofit control method is demonstrated through numerical examples of power systems control and vehicle platoon control.

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Section: Introductionmentioning

confidence: 99%

Retrofit control: Localization of controller design and implementation

et al. 2018

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“…Given that X and Y are defined by the same ARE operator, we will present the results in this section based on X only. We define the Hamiltonian matrix for (14) as…”

Section: Convex Reformulation By Quadratic Invariancementioning

confidence: 99%

“…Using the lower-dimensional Hamiltonian subspaces Z 1κ and Z 2κ , one can construct an approximate solution for (14) as…”

Section: Convex Reformulation By Quadratic Invariancementioning

confidence: 99%

Hierarchical $\mathcal{H}_{2}$ Control of Large-Scale Network Dynamic Systems

Xue

Chakrabortty

2018

2018 Annual American Control Conference (ACC)

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Standard H2 optimal control of networked dynamic systems tend to become unscalable with network size. Structural constraints can be imposed on the design to counteract this problem albeit at the risk of making the solution nonconvex. In this paper, we present a special class of structural constraints such that the H2 design satisfies a quadratic invariance condition, and therefore can be reformulated as a convex problem. This special class consists of structured and weighted projections of the input and output spaces. The choice of these projections can be optimized to match the closedloop performance of the reformulated controller with that of the standard H2 controller. The advantage is that unlike the latter, the reformulated controller results in a hierarchical implementation which requires significantly lesser number of communication links, while also admitting model and controller reduction that helps the design to scale computationally. We illustrate our design with simulations of a 500-node network.

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“…To design such a retrofit controller for transient response improvement in this paper, we utilize a type of state-space expansion, called hierarchical state-space expansion [3], [4]. The hierarchical state-space expansion utilizes a projectionbased model reduction technique [5] to generate a redundant realization of interconnected systems having a cascade structure that enables the distributed design [6] of retrofit controllers.…”

Section: Introductionmentioning

confidence: 99%

Transient Response Improvement for Interconnected Linear Systems: A Low-Dimensional Controller Retrofit Approach

Ishizaki

Koike

Imura

2018

IEEE Trans. Control Netw. Syst.

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Abstract-In this paper, we propose a method of designing low-dimensional retrofit controllers for interconnected linear systems. In the proposed method, by retrofitting an additional low-dimensional controller to a preexisting control system, we aim at improving transient responses caused by spatially local state deflections, which can be regarded as a local fault occurring at a specific subsystem. It is found that a type of state-space expansion, called hierarchical state-space expansion, is the key to systematically designing a low-dimensional retrofit controller, whose action is specialized to controlling the corresponding subsystem. Furthermore, the state-space expansion enables theoretical clarification of the fact that the performance index of the transient response control is improved by appropriately tuning the retrofit controller. The efficiency of the proposed method is shown through a motivating example of power system control where we clarify the trade-off relation between the dimension of a retrofit controller and its control performance.

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Hierarchical distributed control for networked linear systems

Cited by 26 publications

References 7 publications

Retrofit control: Localization of controller design and implementation

Retrofit control: Localization of controller design and implementation

Hierarchical $\mathcal{H}_{2}$ Control of Large-Scale Network Dynamic Systems

Transient Response Improvement for Interconnected Linear Systems: A Low-Dimensional Controller Retrofit Approach

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