Modelling control system with industrial specifications

In the synthesis of control systems, first the design goals are often specified. Then appropriate compensators are chosen to achieve the design goals. In order to design a control system more effectively, the practicing engineers are quite often required to construct a standard mathematical model by using industrial specifications which are assigned. In this thesis, a new method is presented to construct the standard mathematical model for single variable and multivariable systems. The steps of research are listed as follows: First, a second-order model with a phase advance factor is established to investigate the relationship between the time domain specifications and frequency domain specifications. Next, an original synthesis method is established to construct a high order standard model by using industrial specifications. Two elegant methods are derived to improve the convergence of the Newton- Raphson multidimensional method. Finally, a method is presented to formulate a multivariable control system in the frequency domain and in the time domain by using industrial specifications.