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
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;
Conference_Titel :
Intelligent Control and Automation, 2002. Proceedings of the 4th World Congress on
Print_ISBN :
0-7803-7268-9
DOI :
10.1109/WCICA.2002.1022211
