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The use of the linear form of dynamical equations of the satellite attitude control system for its analysis and synthesis

Moldabekov Meirbek, Sukhenko Anna, Shapovalova Darya, Yelubayev Suleimen

Journal of Theoretical and Applied Mechanics

2021

Vol. 59 nr 1

109--120

At present, the methods based on using linearized dynamical equations are applied for syn- thesis of an attitude control system of a satellite with nonlinear dynamics. Linearized equa- tions describe the satellite dynamics approximately, which is the main their disadvantage. This article shows that basing on the angular momentum theorem, the nonlinear dynamical equations of the satellite attitude control system can be represented in the form of linear differential equations with variable coefficients, which makes it possible to use engineering methods of stability analysis and analysis of transient quality in the process of synthesis of the satellite attitude control system.

Fault detection and diagnosis of the valve actuators in the discharge air temperature (DAT) systems, using frequency analysis

Tudoroiu N., Zaheer-Udin M.

Systems Science

2005

Vol. 31, no 3

129-137

One of the main objectives of our research is to build several ARMA linear models and nonlinear neuro models for DAT systems such as developed in [2], [3]. Based on these models we have been interested in building some feedback control strategies for these systems [2], [4], [5]. Due to the high complexity of the HVAC systems the requirements for reliability, availability, and security grow significantly and consequently investigations in this field become necessary. The objective of our paper is to develop some strategies for the fault detection and diagnosis (FDD) of the HVAC systems based on frequency and spectral analysis of the system response. The main interest is focused on dealing with the unanticipated valve actuator failures in the most general formulation based on the frequency analysis of the system response. In our study, we consider that the increasing of the backlash opening in the valve actuators could create serious problems by degrading drastically the HVAC system performance. Based on the spectrum analysis we are capable to gather the most significant patterns that characterize well each fault mode detected, and finally a systematic procedure and technique for proper fault accommodation under the unanticipated failures will be developed. As tools we use MATLAB with SIMULINK toolboxes from control systems, system identification and signal processing. Compared to the other FDD strategies developed in HVAC literature, the one presented in this paper is more simple and much easier to apply with the possibility of extension to other possible applications from different fields.