DocumentCode :
1215814
Title :
Time domain solution to descriptor variable systems
Author :
Yan, Zhibin ; Duan, Guangren
Author_Institution :
Center for Control Theory & Guidance Technol., Harbin Inst. of Technol., China
Volume :
50
Issue :
11
fYear :
2005
Firstpage :
1796
Lastpage :
1799
Abstract :
The time domain solution to the fast subsystem of the descriptor variable system of the form Ex˙=Ax+Bu with E singular is given by Laplace inverse transformation. A new and significant feature of the solution is that it contains impulse terms excited by the values of sufficiently smooth input u and its derivatives at the initial time point. Based on the solution, the notions of consistent initial conditions, classical solutions and impulse-free solutions are discussed perfectly. The impulse controllability is discussed also which admits the same interpretation as the controllability at infinity in frequency domain.
Keywords :
Laplace transforms; controllability; inverse problems; time-domain analysis; variable structure systems; Laplace inverse transform; descriptor variable system; frequency domain; impulse controllability; impulse free solution; time domain solution; Control theory; Controllability; Frequency domain analysis; H infinity control; Laplace equations; Linear systems; Observability; Controllable impulsive modes; impulse controllability; singular systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2005.858642
Filename :
1532408
Link To Document :
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