吉林大学学报(工学版) ›› 2004, Vol. ›› Issue (3): 408-411.
ZHU Yahong, CHENG Daizhan, XI Zairong
ZHU Yahong, CHENG Daizhan, XI Zairong
摘要： In order to investigate the problem of quadratic stability of switched linear systems via cascading, all the real invariant subspaces of a given linear system were investigated, and the result was used to provide comparable cascading form of switching models. Using the common cascading form, a common quadratic Lyapunov function (CQLF) can be found by the set of CQLF of diagonal blocks.
中图分类号:
| [1] JEON D,TOMIZUKA M. Learning hybrid force and position control of robot manipulators［J］. IEEE Trans Robot,1996,9:423-431. [2] SIRA-RANlREZ H. Nonlinear P-I controller design for switch mode dc-to-dc power converters［J］. IEEE Trans Circuits Syst,1991,38(4):410-417. [3] LIBERZON D, HESPANHA J P, MORSE A S. Stability of switched systerns: a Lie-algebraic condition［J］. Sys Contr Lett, 1999, 37(3):117-122. [4] OOBA T, FUNAHASHI Y. Two conditions concerning common QLFs for linear systerns［J］. IEEE Trans Automat Contr, 1997,42(5):719-721. [5] SHORTEN R N, NARENDRA K S. Necessary and sufficient condition for the existence of a common quadratic Lyapunov function for M-stable linear second order systems［Z］. Proc 2000ACC, 2000:359-363. [6] CHENG D, GUO L, HUANGJ. on quadratic Lyapunov functions［J］. IEEE Trans. Aut. Contr.,2003,48(5):885-890. [7] CHENG D. Stabilization of planar switched systerns［J］. Sys Contr Lett, 2004,51(2):79-88. [8] WAN Zhexian. Lie Algebra［M］. Beijing: Science Press, 1964:31-34. |
| No related articles found! |
|
||