Title :
Inner-outer factorization for continuous-time systems using interactor matrix
Author_Institution :
Dept. of Electr. & Electron. Syst. Eng., Osaka Inst. of Technol., Omiya, Japan
Abstract :
An interactor matrix plays several important roles in the control systems theory. In this paper, we present a simple method to derive the right interactor for tall transfer function matrices using Moore-Penrose pseudoinverse. By the presented method, all zeros of the interactor lie at the origin. The method will be applied to the inner-outer factorization. It will be shown that the stability of the interactor is necessary to calculate the factorization.
Keywords :
continuous time systems; control system synthesis; matrix decomposition; transfer function matrices; Moore-Penrose pseudoinverse; continuous-time system; control systems theory; inner-outer factorization; interactor matrix; transfer function matrices; Eigenvalues and eigenfunctions; Estimation; Mathematical model; Polynomials; Riccati equations; Transfer functions; continuous-time systems; inner-outer factorization; interactor matrix; strictly proper plant;
Conference_Titel :
Control and Automation (ICCA), 2011 9th IEEE International Conference on
Conference_Location :
Santiago
Print_ISBN :
978-1-4577-1475-7
DOI :
10.1109/ICCA.2011.6137964