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With the development of the smart meters, demand response (DR) is able to provide fast ancillary services, such as frequency control. Some recent studies demonstrated that DR can perform like thermal generators in the frequency control. However, little attention has been paid to DR's effect on the electromechanical oscillations of the power system. Fast-response DR can not only affect system frequency,...
The Buck converter exhibits interesting nonlinear phenomena which many studies have addressed, and the resonant parametric perturbation is effective to control these nonlinear phenomena. We investigate the control mechanism by using the monodromy matrix derived from the Filippov's method when the perturbation has an appropriate phase shift and the duty ratio is not changed. We find that only one term...
The present paper details a novel methodology called Meta-Process Model that is able to generate new data-based models for manufacturing processes when no experimental data is available. For that purpose, the concept of Hyper-Models was used to create a higher level of abstraction of these manufacturing processes, along with a Statistical Shape Model (SSM) that is able to capture the modes of shape...
In this paper, we introduce a class of small-world networks. We investigate the first- and second-order network coherence quantifying as the sum and square sum of reciprocals of all nonzero Laplacian eigenvalues. Firstly, we deduce the recursive relationship of its eigenvalues at two successive generations of Laplacian matrix. Then we compute the sum and square sum of reciprocal of all nonzero Laplacian...
In this paper, we propose an optimization methodology to find the optimal topology for the data communication network in distributed frequency control of power system. In order to implement a distributed cooperative control scheme, local controllers often share their data over a data communication network. Structure of this network has a major role in determining stability of secondary cooperative...
In this note, under time varying undirected graph, we discuss fixed-time consensus of multi-agent systems and present one framework for constructing effective distributed protocols, which is continuous and distributed state feedbacks. Based on the theory of fixed-time stability, and we prove that if the sum of time intervals is larger than a given time, and the bounded of initial states is known,...
This paper considers the distributed output consensus problem of heterogeneous linear multi-agent networks with event-triggered communications. To handle the heterogeneity existing in the network, we first design adaptive event-based dynamic compensators for the agents. Distributed output feedback protocols, consisting of the dynamic compensators and the distributed state observers, the local controllers,...
In this paper, a surrounding control problem for second-order agent system is investigated. A set of followers composed by the second-order agent networks is applied to surround a team of static leaders into a convex hull spanned by these followers. The problem is considered under a decentralized estimation-and-control framework by using tools from algebraic graph theory and Lyapunov stable theory...
Over the last two decades, synchronization, as a typical collective behavior in complex networks, has received an increasing attention. To reveal the inherent mechanism of synchronization in complex networks with delayed nodes, this paper aims at developing a novel synchronization approach by using the PD control strategy. Based on a classical network model, we investigate the synchronization of complex...
This paper focuses on the small-signal stability analysis of systems modeled as Neutral Delay Differential Equations (NDDEs). These systems include delays in both the state variables and their first time derivatives. The proposed approach consists in descriptor model transformation that constructs an equivalent set of Delay Differential Algebraic Equations (DDAEs) of the original NDDE. The resulting...
Cooperative containment problem is presented in this paper for discrete-time multi-agent systems with different dynamics subject to structural uncertainties. The topologies of the agents could be assumed that one leader contains a directed path to all the follower agents. The paper obtains some novel and challenging results on cooperative containment control problem of discrete-time multi-agent systems:...
This paper is concerned with the semi-global output synchronization problem of a heterogeneous network under event-triggered control mechanism. A distributed event-triggered scheme is proposed in this paper. The Zeno behavior can also be excluded in the designed scheme. By adopting the low-gain technique, it is shown that the input saturation nonlinearity can be avoided if the parameter of the parameterized...
Formation-containment tracking problems for high-order linear multi-agent system on directed graphs are studied, where the multi-agent system is composed of a virtual leader, several real leaders and followers. The real leaders need to not only accomplish a predefined time-varying formation but also track the expected trajectory generated by the virtual leader, while the followers are required to...
For a network, knowledge of its Laplacian eigenvalues is central to understand its structure and dynamics. In this paper, we study the Laplacian spectra for a family of treelike networks. Firstly, we calculate the constant term and monomial coefficient of characteristic polynomial. By using the Vieta theorem, we then obtain the sum of reciprocals of all nonzero eigenvalues of Laplacian matrix. We...
The study of complex networks has gained much interest. In particular, network coherence is a current hot topic. In this paper, we construct the weighted treelike network with weight factor to be our model. Although some properties have been revealed in weighted treelike networks, studies on their network coherence are still less and remain a challenge. In order to enrich the research of weighted...
This paper considers the pinning synchronization problem for complex networks with directed topologies by utilizing the output state information of network nodes, where the node dynamics satisfies the Lipschitz condition. Based on M-matrix theory and Lyapunov functional method, some sufficient conditions are derived to ensure that the network can be pinned to the trajectory of the leader node. Some...
In this paper, the quasi-synchronization of a class of nonlinearly-coupled complex networks is studied. Different from the previous works, a distinguishing characteristic of this work is that the coupling matrix of nonlinear coupled networks is asymmetrical. The effect of time-varying delay in dynamical networks is also considered. By utilizing the aperiodically intermittent pinning control technique,...
This paper addresses the positioning control problem for a direct-drive linear switched reluctance machine (LSRM) system based on the vectorization technique. The stability conditions for LSRM motion control system are obtained based on Lyapunov stability theory. The positioning controller design method for the closed-loop system is given according to the matrix eigenvalue numerical analysis method...
The three-phase voltage source converter (VSC) suffers from complex dynamics due to large signal disturbances such as grid voltage dips. In this paper, the instability phenomena of current loop and voltage loop are identified in three-phase grid-connected VSCs. Moreover, the interaction of the voltage loop and current loop is analyzed. Thus, the fault current under such situation can be calculated...
In this paper, event-triggered strategies for control of discrete-time plants with two-time scale property are developed and analyzed. The plant is assumed input-to-state stable with respect to measurement errors and the control law is updated once a triggering condition involving the norm of a measurement error is violated. The results are also extended to a self-triggered formulation, where the...
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