Transient Analysis Of System And Design Of Robust Controller Based On Pseudo-spectral

In the performance analysis of system and the design of robust controller,it is hoped that the transient behavior of system can be quickly observed,and the order of the controller can be reduced under the premise of ensuring the control effect.But it is clearly difficult for traditional methods to meet the designer's expectations in these areas.Therefore,this paper proposes a system performance analysis method based on pseudo-spectrum and a fixed-order controller design method.Firstly,this paper introduces the basic theory of pseudo-spectrum,pseudo-spectral abscissa and pseudo-spectral radius.The pseudo-spectral abscissa and pseudo-spectral radius are introduced into the continuous control system and the discrete control system,respectively.The relationship between them with the robust stability of system is analyzed quantitatively,especially the relationship between the pseudo-spectral abscissa and the H_?norm.The transient characteristics of the system and the robust stability is also analyzed for system design.Secondly,for continuous systems,the pseudo-spectral method is used to predict the transient growth of the system more quickly,and the controller with order constraints is designed by pseudo-spectral method.The pseudo-spectral abscissa is used to predict the transient growth of the system,and the robust stability of the system is determined according to the convergence speed of the system.A typical photoelectric tracking servo system is selected as the design object.The pseudo-spectral abscissa is used as the objective function of the controller design.The order of the controller and the allowable disturbance size parameter?are determined,and then the local optimal controller is obtained.The control effect of the control system is proved by simulation experiments.In the simulation experiment,the sensitivity of the tracking system is analyzed by tracking the sinusoidal signals of different frequencies;The anti-interference of the tracking system is analyzed by adding disturbances of different sizes,and the suppression of white noise by the tracking system is analyzed by adding white noise.In order to verify the robustness of the control system,the tracking performance,anti-interference and noise suppression capability of the nominal system after the introduction of the perturbation term are analyzed.Finally,in discrete systems,using pseudo-spectrum to observe the transient process of discrete system,and using pseudo-spectrum method to optimize the system controller parameters and order.The pseudo-spectral radius is used to predict the transient growth of the system,and the robust stability of the system is determined according to the convergence speed of the system.Subsequently,a DC motor is selected as the plant,and the pseudo-spectral radius is used as the objective function of the controller design.The control effect of the control system is proved by simulation experiments.In the simulation experiment,the tracking sensitivity of the DC motor system is analyzed by tracking the sinusoidal signals of different frequencies;the interference immunity of the DC motor system is analyzed by adding disturbances of different sizes;the suppression of white noise by the DC motor system is analyzed by adding white noise.In order to verify the robustness of the control system,the tracking performance,anti-interference performance and noise suppression capability of the nominal system after the introduction of the perturbation term are analyzed.