This paper considers security control for a class of networked switched systems subject to random cyber attacks. To alleviate the burden of the networked transmission, a hybrid-driven communication strategy is employed. Moreover, based on the hybrid-triggered control scheme, a state-feedback controller and a switching signal depending on the average dwell time are designed simultaneously. It is shown that the switched systems are mean-square exponentially stable despite the presence of the random cyber attacks. Finally, a numerical example is exploited to demonstrate the effectiveness of the proposed method.
In this study, the cooperative resilience of cyber–physical power systems under hybrid attacks is investigated. First, a detection model of physical attacks depending on the residual of the output impedance angle is established. Second, by analyzing the encrypted communication between physical and cyber systems, a detection algorithm for cyberattacks is proposed. Then, by using an enumeration method, islanded cyber–physical power systems are built with non-attacked and repaired parts. Moreover, to save resilient resources, cooperative optimization is established after the individual optimization of islanded cyber and physical systems. Since the building and optimization are executed alternately, the topology of the systems is dynamic. Finally, simulation results demonstrate the effectiveness of the proposed method.
With the increase in renewable energy penetration, energy deviation settlement penalties are imposed on incremental distribution and retail companies (IDRCs). Most IDRCs are at financial risk. Given this background, a bidding model of the two-stage dynamic alliance is proposed to maximize IDRCs’ profits. In the first stage, potential alliances of IDRCs are established by the gravity model. In the second stage, the bi-level bidding model is modeled in energy and primary frequency regulation markets, where the upper level maximizes alliance profits by considering the cooperation costs and alliance constraints, and the lower level simulates market clearing. Then, the bi-level model is transformed into a mixed-integer linear programming model by the strong duality theory, Karush–Kuhn–Tucker conditions, and large M method. Verified by the complex network theory, results show that a complex alliance network has a high transmission efficiency and capacity to resist risk. Moreover, IDRCs with large capacity and superior location are important in the alliance. In addition, the proposed model increases the satisfaction rate by 20%, which increases IDRCs’ profits and reduces cooperation costs.
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