Title :
On existence and construction of stabilizing switching laws between two unstable linear systems
Author :
Liang, Yew-Wen ; Tan, Yu-Huan ; Xu, Sheng-Dong ; Chang, Jia-Liang
Author_Institution :
Dept. of Electr. & Control Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan
Abstract :
Issues regarding the application of two equivalent sufficient conditions for the existence of stabilizing switching laws between two unstable linear systems are studied. One of the conditions is effective for theoretical derivation, while the other is easily implementable. To further understand the geometrical insight of the conditions, an equivalent condition involving the information of eigenvalues and eigenvectors of system dynamics is presented for planar cases. With the help of the equivalent relation, a condition for the existence of controllers and stabilizing switching laws between two unstabilizable linear control systems is also presented. The controllers and stabilizing switching laws are explicitly constructed through the use of an existed algorithm.
Keywords :
eigenvalues and eigenfunctions; linear systems; stability; time-varying systems; controller existence; equivalent relation; linear control systems; planar cases; stabilizing switching laws; system eigenvalues; system eigenvectors; unstable linear systems; Adaptive control; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Mechanical variables control; Stability; Sufficient conditions; Switched systems; Switches;
Conference_Titel :
Mechatronics, 2005. ICM '05. IEEE International Conference on
Conference_Location :
Taipei
Print_ISBN :
0-7803-8998-0
DOI :
10.1109/ICMECH.2005.1529289