A New Parameter Estimation Method Using System Steady-state Sinusoidal Output Measurements in the Frequency Domain

In this paper, a new parameter estimation method using system steady-state sinusoidal output (SSSO) measurements is proposed for a broad class of second-order linear systems. It is shown that when the input to the system is chosen as the linear combination of a group of sinusoids, the amplitudes of system SSSO components can be extracted using any fundamental period of system SSSO measurement data. Unknown system parameters can then be estimated with the SSSO amplitude information in the frequency domain. The advantages of the new parameter estimation method are three fold: (i) only a fundamental period of system SSSO measurement data is required; (ii) the estimation process has good performance against sensor noise; (iii) it provides a global optimization mechanism, in any fundamental period at steady-state, to accurately estimate unknown system parameters. Simulation examples are implemented to show the effectiveness of the proposed parameter estimation method.