Abstract
This paper deals with the procedure of synthesis of a nonlinear position controller for the «feeder» of packaging mechanism. The mathematical model of «feeder» drive with regard to the restriction on the control output of external PLC. Linearization of nonlinear characteristic by the «secants» method is implemented and selected functional quality that defines the minimal time of transients is selected. Quality functional in the form of a quadratic functional with a variable weighting factor is presented. To find the suboptimal control law, the method of dynamic programming method using the concept of an invariant «immersion» is used. In this case, the original nonlinear problem is decomposed into several linear optimal control problems. The problem of synthesis of the position controller «in the small» and «in the large» is solved; the analytical expressions for the control actions are obtained. As a result of the synthesis of the nonlinear control law, containing linear and cubic components of the state variables is obtained. The dynamic characteristics of the «feeder» drive with the standard linear position control, as well as synthetic nonlinear control method of digital simulation are presented.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.