Controller design method of discrete-time descriptor system based on total least squares

Total least squares method is applied to design the optimal control strategy for descriptor systems through the noise polluted input and output data. The traditional controller design schemes are ideally, i.e., the input-output data is treated with no noise disturbance, or only the error of the output data is considered. However, if the input and output data are both disturbance by the noise, the underlying problem of controller design may be ill-conditioned, and in that case the tradition approaches will lose its significance. In this paper, the methodology of Tikhonov regularization of total least squares is introduced to solve the above problems. By using the presented algorithm, one can get the desired controller only through the input and output data of the system. Furthermore, because the posedness is considered when the algorithm is designed, algorithm is robustness. Illustrative example indicates that the presented algorithm can obtain an accurate controller for a system and has more effectiveness.