Parametric Control to a Type of Descriptor Quasi-Linear Systems via Output Feedback

Abstract

This paper investigates the parametric design method to a type of descriptor quasi-linear systems whose coefficient matrices contain system variables and time-varying parameters. Based on the solution to a class of generalized Sylvester matrix equation, the generally parametrized expression of output feedback controller is established; meanwhile, the completely parametric forms of left and right eigenvectors are obtained, giving a group of arbitrary parameters. With the parametric technique, the closed-loop system can be converted into a linear constant one by utilizing a group of canonical matrix pair. Finally, three examples are presented to prove the effectiveness of the proposed approach.

Keywords

• Descriptor quasi-linear systems
• parametric control
• eigenstructure assignment
• canonical matrix pair
• output feedback