In this paper, we address the output synchronization of heterogeneous linear networks. In the literature, all agents are typically required to synchronize exactly to a common trajectory. Here, we introduce optimal sta...
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ISBN:
(纸本)9781538654286
In this paper, we address the output synchronization of heterogeneous linear networks. In the literature, all agents are typically required to synchronize exactly to a common trajectory. Here, we introduce optimal stationary synchronization (OSS) instead which permits non-zero steady-state synchronization errors. As a benefit, we are able to relax standard requirements. E.g., agents are allowed to participate in the network even when they usually cannot synchronize exactly. In addition, OSS enables agents to save input-energy by synchronizing within tolerable error-bounds. Our new method combines the synchronization of bounded exosystems with local infinite-time linear quadratic tracking (LQT). This results in an optimal balance of each agent's synchronization error versus its consumed input-energy. Moreover, we extend recent results in LQT such that the derived time-invariant optimal control guarantees that the synchronization error satisfies given strict bounds. All these aspects are demonstrated by an illustrative simulation example with a detailed analysis.
We model optical frequency comb generation in the presence of nonlinear polarization effects. We make an in-depth study of the modulational instability and demonstrate the appearance of novel types of instabilities an...
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ISBN:
(纸本)9781943580422
We model optical frequency comb generation in the presence of nonlinear polarization effects. We make an in-depth study of the modulational instability and demonstrate the appearance of novel types of instabilities and frequency comb states.
In recent work, we obtained finite sample guarantees for the problem of Principal Component Analysis (PCA) in non-isotropic and data-dependent noise. In this work, we study an important special case of this: the probl...
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ISBN:
(纸本)9781538647813
In recent work, we obtained finite sample guarantees for the problem of Principal Component Analysis (PCA) in non-isotropic and data-dependent noise. In this work, we study an important special case of this: the problem of PCA in sparse data-dependent noise with the noise depending linearly on the signal (true data) at each time. This special case occurs in many practical applications. Two examples that we describe include (a) PCA with missing data and (b) the subspace update step of an online algorithm for dynamic robust PCA called ReProCS.
In this paper, we address the problem of system theoretic dynamic information fusion in time-varying heterogeneous sensor networks. This class of sensor networks involves nodes that receive observations from a process...
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ISBN:
(纸本)9781538654286
In this paper, we address the problem of system theoretic dynamic information fusion in time-varying heterogeneous sensor networks. This class of sensor networks involves nodes that receive observations from a process of interest (active nodes) and nodes that do not receive any information (passive nodes), where the active and passive node roles can be varying with respect to time. At any given time, in addition, active nodes are allowed to have nonidentical modalities such that they can observe different measurements from the process. Specifically, we propose a new distributed input and state "coestimation" architecture for time-varying heterogeneous sensor networks, where time evolution of input and state updates of each node both depend on the local input and state information exchanges. The stability and performance of the overall sensor network are guaranteed once the local sufficient stability conditions for each node are satisfied. As compared with our recent distributed input and state "estimation" approach for the same problem, where time evolution of input (respectively, state) update of each node only depends on the local input (respectively, state) information exchange, our illustrative numerical example also demonstrates a substantially improved dynamic input and state fusion performance.
Power systems can become unstable under transient periods such as short-circuit faults, leading to equipment damage and large scale blackouts. Power system stabilizers (PSS) can be designed to improve the stability of...
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ISBN:
(纸本)9781538655832
Power systems can become unstable under transient periods such as short-circuit faults, leading to equipment damage and large scale blackouts. Power system stabilizers (PSS) can be designed to improve the stability of generators by quickly regulating the exciter field voltage to damp the swings of generator rotor angle and speed. The stability achieved through exciter field voltage control can be further improved with a relatively small, fast responding energy storage system (ESS) connected at the terminals of the generator that enables electrical power damping. PSS are designed and studied using a single-machine infinite-bus (SMIB) model. In this paper, we present a comprehensive optimal-control design for a flexible ac synchronous generator PSS using both exciter field voltage and ESS control including estimation of unmeasurable states. The controller is designed to minimize disturbances in rotor frequency and angle, and thereby improve stability. The design process is based on a linear quadratic regulator of the SMIB model with a test system linearized about different operating frequencies in the range 10 Hz to 60 Hz. The optimal performance of the PSS is demonstrated along with the resulting stability improvement.
In this paper we address the problem of detecting the internal cooperating strategies of an adversarial swarm. This is done by estimating a set of parameters that define a particular swarm's cooperating strategy. ...
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ISBN:
(纸本)9781538660898
In this paper we address the problem of detecting the internal cooperating strategies of an adversarial swarm. This is done by estimating a set of parameters that define a particular swarm's cooperating strategy. Using numerical observability analysis we show that this problem can be solved by introducing an intruder that will penetrate the swarm and thus force it to modify it's behavior.
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