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Keywords = generalized Kalman–Yakubovich–Popov lemma

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20 pages, 2264 KB  
Article
Distributed Coordination D-Stabilization in Cyclic Pursuit Formations of Dynamical Multi-Agent Systems
by Jun-Gyu Park, Yeongjae Kim and Tae-Hyoung Kim
Actuators 2024, 13(12), 495; https://doi.org/10.3390/act13120495 - 3 Dec 2024
Viewed by 899
Abstract
In this study, the cyclic pursuit formation stabilization problem in target-enclosing operations by multiple homogeneous dynamic agents is investigated. To this end, a Lyapunov D-stability problem is first formulated to cover the transient performance requirements for multi-agent systems. Then, a simple diagrammatic [...] Read more.
In this study, the cyclic pursuit formation stabilization problem in target-enclosing operations by multiple homogeneous dynamic agents is investigated. To this end, a Lyapunov D-stability problem is first formulated to cover the transient performance requirements for multi-agent systems. Then, a simple diagrammatic Lyapunov D-stability criterion for cyclic pursuit formation is derived. The formation control scheme combined with a cyclic-pursuit-based distributed online path generator satisfying this condition guarantees both the required transient performance and global convergence properties with theoretical rigor. It is shown that the maximization of the connectivity gain in a cyclic-pursuit-based online path generator can be reduced to an optimization problem subject to linear matrix inequality constraints derived using the generalized Kalman-Yakubovich–Popov lemma. This approach provides a permissible range of connectivity gain, which not only guarantees global formation stability/convergence properties but also satisfies the required performance specification. Several numerical examples are provided to confirm the effectiveness of the proposed method. Full article
(This article belongs to the Section Control Systems)
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19 pages, 4342 KB  
Article
Finite Frequency H Control for Doubly Fed Induction Generators with Input Delay and Gain Disturbance
by Shaoping Wang, Jun Zhou and Zhaoxia Duan
Sustainability 2023, 15(5), 4520; https://doi.org/10.3390/su15054520 - 2 Mar 2023
Viewed by 1858
Abstract
Due to the rapid development of wind power, the stable operation of doubly fed induction generators (DFIGs) has attracted much attention. This paper focuses on the finite frequency (FF) H control for the DFIG with input delay, aiming to reduce the effects [...] Read more.
Due to the rapid development of wind power, the stable operation of doubly fed induction generators (DFIGs) has attracted much attention. This paper focuses on the finite frequency (FF) H control for the DFIG with input delay, aiming to reduce the effects of current harmonic interferences and gain disturbances on the DFIG and improve the stability of the system. First, a DFIG state–space model with input delay under current harmonics was constructed. Second, based on the DFIG state–space model, an FF H state-feedback controller was designed from the frequency domain perspective, which makes the DFIG stable and robust against harmonic interferences and gain disturbances. Third, via the generalized Kalman–Yakubovich–Popov (GKYP) lemma and the Lyapunov theory, the FF H performance was evaluated in the form of linear matrix inequalities (LMIs), and then the state feedback FF H controller was designed. Finally, the simulation results showed the efficiency of the proposed approach. Full article
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