Correlation matrices in problems of identification of seismic stability and technical condition of high-rise buildings and building structures

Development of the robust algorithms and control system of technical state of construction objects

“…of each object in each cycle files are formed. At the first stage, in the training process for each case, using the algorithms proposed in [1,9,10], and also using formulas (12), (16), (34), (35), (39) and (40) the estimates r D R a b a b…”

“…If there is a system of continuous controlling of changes in the technical state of building structures based on robust noise and spectral technologies, it will be possible to identify both the initial stage of micro-changes occurrence after the training stage of the system and the latent period of their occurrence [1].…”

“…It is known that the analysed noisy signal in digital form has the following form [1][2][3][4][5][6]:…”

“…Therefore, to solve the problem under consideration, it is necessary to develop technologies for calculating such estimates of correlation and spectral characteristics, which are practically not affected by changes in this noise. To do this, first of all, it is expedient to reduce the estimates R gg µ ( ) to a single dimensionless quantity by applying a normalization procedure [1][2][3]. However, our analysis shows that when applying traditional methods, an additional error is introduced into the normalized estimates of the correlation functions r gg µ ( ).…”

“…Actual is their timely detection which will make it possible to predict changes in the technical state of the building structure, and therefore, can be used to prevent and avoid serious damage. Therefore, the paper considers one of the possible options for solving the problem of monitoring the technical state of construction objects using robust noise and spectral analysis of noisy signals, as well as the spectral noise analysis [1].…”