Title :
Root-loci for periodic linear systems
Author :
Zhu, J. ; Vemula, S.K.
Author_Institution :
Louisiana State Univ., Baton Rouge, LA, USA
Abstract :
According to the Floquet theory, an nth-order linear periodic (LP) system of the form yn+αn (t) yn-1+...+α2(t)dy( t)/dt+α1(t)y=0 can be transformed into an equivalent linear time-invariant (LTI) system whose characteristic roots, known as Floquet characteristic exponents (FCEs), determine the stability of the LP system. A technique for obtaining an approximation of the characteristic equation for the FCEs is developed. Parametric loci of the FCE, similar to the root locus plot for a LTI system, are then developed for the LP system. The technique is exemplified by 2nd-order LP systems. The FCE loci are useful in the stability analysis and control design for LP systems
Keywords :
control system synthesis; eigenvalues and eigenfunctions; linear systems; periodic control; root loci; Floquet characteristic exponents; control design; parametric loci; periodic linear systems; stability analysis; Control design; Ear; Fourier series; Image processing; Iterative methods; Laboratories; Linear systems; Nonlinear equations; Remote sensing; Stability analysis;
Conference_Titel :
System Theory, 1993. Proceedings SSST '93., Twenty-Fifth Southeastern Symposium on
Conference_Location :
Tuscaloosa, AL
Print_ISBN :
0-8186-3560-6
DOI :
10.1109/SSST.1993.522848
