Iterative LMI Approach to Robust Hierarchical Control of Homogenous Linear Multi-Agent Systems Subject to Polytopic Uncertainty and External Disturbance

Pham, Tuynh Van; Nguyễn, Đình Hòa; Banjerdpongchai, David

doi:10.1109/access.2021.3126424

Cited by 1 publication

(2 citation statements)

References 27 publications

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“…According to the Sherman-Morrison formula, the inverse of the matrix defined in (20) can be expressed as…”

Section: Robust Decentralized Control Design For Large-scale Systems:...mentioning

confidence: 99%

“…As a result, it can be used to produce decentralized control laws [6], [7], [8], [9], [10], [11], output feedback [12], [13], [14], [15], [16], and even gain matrices with arbitrary nonzero patterns [17]. This inherent versatility of LMI-based design explains why it remains an attractive option for solving control-related problems, and finds applications in diverse fields ranging from multiagent systems [18], [19], [20], [21] and aerospace engineering [22], [23], [24] to electric power systems [25], [26], [27], [28], [29], [30], [31], [32].…”

Section: Introductionmentioning

confidence: 99%

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An LMI-Based Control Strategy for Large-Scale Systems With Applications to Interconnected Microgrid Clusters

Khanbaghi

Zečević

2022

IEEE Access

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This paper proposes a new LMI-based strategy for designing decentralized control, which is aimed at large-scale systems. A distinguishing feature of this approach is its ability to produce decentralized feedback laws without placing any structural constraints on the Lyapunov function. It also allows the user to control the number of LMI variables, which can significantly reduce the computational effort. The effectiveness of this method is illustrated through applications to interconnected microgrid clusters. Simulation results show that the proposed approach can be used to regulate energy exchanges between the clusters in a way that ensures robust stability.INDEX TERMS Linear matrix inequalities, decentralized control, robust control, interconnected microgrid clusters, large-scale systems.

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“…According to the Sherman-Morrison formula, the inverse of the matrix defined in (20) can be expressed as…”

Section: Robust Decentralized Control Design For Large-scale Systems:...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An LMI-Based Control Strategy for Large-Scale Systems With Applications to Interconnected Microgrid Clusters

Khanbaghi

Zečević

2022

IEEE Access

View full text Add to dashboard Cite

show abstract

Iterative LMI Approach to Robust Hierarchical Control of Homogenous Linear Multi-Agent Systems Subject to Polytopic Uncertainty and External Disturbance

Cited by 1 publication

References 27 publications

An LMI-Based Control Strategy for Large-Scale Systems With Applications to Interconnected Microgrid Clusters

An LMI-Based Control Strategy for Large-Scale Systems With Applications to Interconnected Microgrid Clusters

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