DocumentCode
2025841
Title
Differential games and robust H∞ control for periodically time-varying linear systems with uncertainty
Author
Chen, Yangzhou ; Liu, Hongyun
Author_Institution
Coll. of Electron. Inf. & Control Eng., Beijing Polytech. Univ., China
Volume
1
fYear
2002
fDate
2002
Firstpage
730
Abstract
The paper deals with the differential games for the periodically time-varying linear systems with norm-bounded structure uncertainty parameters. By constructing an auxiliary differential games with completely known equations and solving it by the aid of the existing result, the sufficient condition of solubility of the differential games under uncertainty is obtained and the corresponding solution is constructed. The condition is represented in terms of periodically time-varying Riccati differential equation or canonical equation, that is, the equations are required to admit the solution with some specified properties. Finally, resorting to the result, the robust H∞ control problem is dealt with. The sufficient condition of the solubility is given and the corresponding H∞-suboptimal regulator is constructed.
Keywords
H∞ control; Riccati equations; differential equations; differential games; linear systems; periodic control; robust control; time-varying systems; uncertain systems; H∞-suboptimal regulator; Riccati differential equation; auxiliary differential games; canonical equation; differential games; norm-bounded structure uncertainty parameters; periodically time-varying linear systems; robust H∞ control; Control systems; Differential equations; Educational institutions; Games; Linear systems; Riccati equations; Robust control; Sufficient conditions; Time varying systems; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on
Print_ISBN
0-7803-7268-9
Type
conf
DOI
10.1109/WCICA.2002.1022211
Filename
1022211
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