110 research outputs found

    Robust Wiener filtering based on probabilistic descriptions of model errors

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    Risk Assessment of Stealthy Attacks on Uncertain Control Systems

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    In this article, we address the problem of risk assessment of stealthy attacks on uncertain control systems. Considering data injection attacks that aim at maximizing impact while remaining undetected, we use the recently proposed output-to-output gain to characterize the risk associated with the impact of attacks under a limited system knowledge attacker. The risk is formulated using a well-established risk metric, namely the maximum expected loss. Under this setups, the risk assessment problem corresponds to an untractable infinite non-convex optimization problem. To address this limitation, we adopt the framework of scenario-based optimization to approximate the infinite non-convex optimization problem by a sampled non-convex optimization problem. Then, based on the framework of dissipative system theory and S-procedure, the sampled non-convex risk assessment problem is formulated as an equivalent convex semi-definite program. Additionally, we derive the necessary and sufficient conditions for the risk to be bounded. Finally, we illustrate the results through numerical simulation of a hydro-turbine power system

    On Kalman Filtering over Fading Wireless Channels with Controlled Transmission Powers

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    We study stochastic stability of centralized Kalman filtering for linear time-varying systems equipped with wireless sensors. Transmission is over fading channels where variable channel gains are counteracted by power control to alleviate the effects of packet drops. We establish sufficient conditions for the expected value of the Kalman filter covariance matrix to be exponentially bounded in norm. The conditions obtained are then used to formulate stabilizing power control policies which minimize the total sensor power budget. In deriving the optimal power control laws, both statistical channel information and full channel information are considered. The effect of system instability on the power budget is also investigated for both these cases

    Quantized Non-Bayesian Quickest Change Detection with Energy Harvesting

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    This paper focuses on the analysis of an optimal sensing and quantization strategy in a multi-sensor network where each individual sensor sends its quantized log-likelihood information to the fusion center (FC) for non-Bayesian quickest change detection. It is assumed that the sensors are equipped with a battery/energy storage device of finite capacity, capable of harvesting energy from the environment. The FC is assumed to have access to either non-causal or causal channel state information (CSI) and energy state information (ESI) from all the sensors while performing the quickest change detection. The primary observations are assumed to be generated from a sequence of random variables whose probability distribution function changes at an unknown time point. The objective of the detection problem is to minimize the average detection delay of the change point with respect to a lower bound on the rate of false alarm. In this framework, the optimal sensing decision and number of quantization bits for information transmission can be determined with the constraint of limited available energy due to finite battery capacity. This optimization is formulated as a stochastic control problem and is solved using dynamic programming algorithms for both non-causal and causal CSI and ESI scenario. A set of non-linear equations is also derived to determine the optimal quantization thresholds for the sensor log-likelihood ratios, by maximizing an appropriate Kullback-Leibler (KL) divergence measure between the distributions before and after the change. A uniform threshold quantization strategy is also proposed as a simple sub-optimal policy. The simulation results indicate that the optimal quantization is preferable when the number of quantization bits is low as its performance is significantly better compared to its uniform counterpart in terms of average detection delay. For the case of a large number of quantization bits, the performance benefits of using the optimal quantization as compared to its uniform counterpart diminish, as expected

    ELEVHÄLSANS BESKRIVNING AV HÄLSOFRÄMJANDE OCH FÖREBYGGANDE ARBETE : EN TEXTANALYS AV ELEVHÄLSOPLANER

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    Psykisk ohälsa bland unga har ökat under en längre tid och skolan beskrivs vara en av orsakerna till denna ökning. Skollagen säger att varje skola ska ha en elevhälsa och att elevhälsan främst ska vara förebyggande och hälsofrämjande. Samtidigt har elevhälsan en tradition av att främst arbeta med individuella åtgärder. Studiens syfte är att bidra med mer kunskap kring hur skolor och kommuner beskriver sitt förebyggande och hälsofrämjande arbete. Genom textanalys utifrån metoden kvalitativ innehållsanalys analyseras insamlade elevhälsoplaner för att undersöka om beskrivningarna av elevhälsoarbetet har stort fokus på åtgärder eller om elevhälsoplanen överensstämmer med skollagen. Elevsyn samt förekomsten av beskrivningar kring arbete med psykisk hälsa undersöks också. Resultatet visar att drygt hälften av elevhälsoplanerna bedöms stämma överens med skollagen och att dessa även har beskrivningar av arbetet kring psykisk hälsa. Medans knappt hälften av elevhälsoplanerna i studien fortfarande beskriver ett elevhälsoarbete med fokus på individuella åtgärder trots att skollagen säger att elevhälsan främst ska vara förebyggande och hälsofrämjande. Avsaknad av tydliga riktlinjer för hur ett sådant arbete ska gå till kan vara en av orsakerna till detta resultat. Vidare forskning kring skolornas förutsättningar att följa skollagen behövs.

    Robust Wiener filtering based on probabilistic descriptions of model errors

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