Title :
On Controllability of Switched Linear Systems
Author :
Ji, Zhijian ; Wang, Long ; Guo, Xiaoxia
Author_Institution :
Qingdao Univ., Qingdao
fDate :
4/1/2008 12:00:00 AM
Abstract :
This paper investigates the number of switchings and design of switching sequences for controllability of switched linear systems. Two related results are established. One is a new constructive approach to designing switching sequences. The controllable state set of each switching sequence designed via the approach coincides with the controllable subspace of switched linear systems. The other is a well-estimated value for the minimum number of switchings required for controllability. Each state in the controllable subspace can be steered to origin within this value of switching times.
Keywords :
control system synthesis; controllability; linear systems; time-varying systems; controllability; switched linear systems; switching sequences; Automatic control; Control design; Control system synthesis; Control systems; Controllability; Design methodology; Linear systems; Stability analysis; Switched systems; Uncertainty; Constructive method; controllability; hybrid systems; reachability; switched systems; switching sequence;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.917659
