Parametric control to a type of quasi-linear high-order systems via output feedback. (May 2019)

• Record Type: Journal Article
• Authors: Gu, Da-Ke; Zhang, Da-Wei; Duan, Guang-Ren
• Is Part Of: European journal of control. Volume 47(2019)
• Page Start: 44
• Page End: 52
• Publication Date: 2019-05
• Subjects: Quasi-linear high-order system -- Parametric control -- Eigenstructure assignment -- Output feedback; Control theory -- Periodicals; Automatic control -- Periodicals; Automatic control -- Mathematics -- Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.ejcon.2018.09.008
• Languages: English
• ISSNs: 0947-3580

Abstract

Abstract: This paper investigates the design problem of output feedback control to a type of quasi-linear high-order systems containing time-variant coefficient matrices which include time-variant parameters and system variables. Based on the solution to a class of high-order generalized Sylvester matrix equation, we can design the left and right closed-loop eigenvectors and obtain two groups of arbitrary parameters, further establish a general complete parametrized expression for a quasi-linear high-order output feedback controller. By the presented parametric approach, the closed-loop system can be transformed into a linear time-invariant one with the desired eigenstructure. Finally, a nonlinear feedback synchronization problem of Genesio-Tesi and Coullet chaotic systems is presented to prove the effectiveness of the proposed approach.