Parameter Estimation of Flexible Space Craftusing Least Square Estimation

A well modeled system response deviate from the desired response due to lack of complete knowledge about the system dynamics and other practical limitations. Also, all the critical systems exhibit stochastic nature. Hence, the parameters change dynamically. It is essentially required to estimate the parameters dynamically. The system identification (SI) helps to estimate the parameters, assuming the model of the system under operation is known. The parameters of the dynamics are estimated from the input and output data of the system. Here, an attempt is made to estimate the parameters of a Flexible Space Craft (FSC) using least square (LS) estimation method for both noise and noise free environment. Since, the digital computers operate on digital data easily, the transfer function of the FSC is transformed into discrete domain and computations are made. It is observed that the sampling time and sampling technique play critical role in estimating the parameter. The SI is a useful mathematical tool to estimate appropriate parameters by correlating the excitation and response of the system under consideration.