The monitoring system based on lookup algorithm for objects described by ordinary differential equations

Abstract

The article presents a new approach to monitoring systems of a certain class using the lookup algorithm. The main task is to generate object signals based on measured but only some selected signals. This idea is based on the Kalman filter approach, but the calculation method of the gain coefficients is different. Its values are determined in a similar way as weights in neural networks during learning (incremental method). The proposed lookup algorithm uses expert knowledge a priori for determining gain corrections, and its functioning is presented for the case of two monitoring error zones. The presented results clearly indicate the advantage of the lookup algorithm over the Kalman filter. Two RMSE and MPE indicators were used for the quality of monitoring.

The look-up algorithm of monitoring an object described by non-linear ordinary differential equations

“…The presented approach works properly without the need to know the characteristics of the noise signals and any of their distributions. Correct results are also obtained with a non-linear description of the object [1]. Satisfactory results should also be expected in the further extension of the mathematical model to other water quality indicators.…”

“…It is related to the support of monitoring and control by means of real-time IT systems. In particular, it covers, among others, monitoring of a polluted river or a Continuous Stirred-Tank Reactor (CSTR) [1]. The issues of online monitoring for polluted rivers is still present ones to solve as the development of agriculture, industry and cities has resulted in the deterioration of water resources of rivers and reservoirs in terms of their quality and quantity [2]- [4].The purpose of monitoring water quality in rivers is to reduce the risk of pollution and ensure appropriate economic policies that take into account water protection [5].The approaches to them are various, among others there is the one which involves using mobile measuring station [6].…”

Adaptive Antenna Array Control Algorithm in Radiocommunication Systems

“…Using the calculated covariance matrix s n , weights are determined for each port of the antenna array. These weights represent a vector of the form [19]:…”