RobustH ∞ controller design for a class of uncertain systems
- 22 Downloads
TheH ∞ control problem for a class of systems with time-varying and nonlinear uncertainties is considcred. A new sufficient condition based on LMI is provided to judge their robust stability andL 2-gain finiteness. Solvability conditions are presented for both state feedback and output feedback cases, which are all reduced to solutions of LMIs. The design procedure is also discussed via LMI approach.
KeywordsH∞ control robust control linear matrix inequality
Unable to display preview. Download preview PDF.
- 3.Guo, L., Xin, X., Feng, C. B., Stabilization andL 2-gain control problems for Lur'e systems, inProc. of Chinese Contr. Conf. (ed. Qin, H.) (in Chinese), Qingdao: CAA Press., 1996, 116–120.Google Scholar
- 4.Shen, T.,H ∞ Control Theory and Its Applications (in Chinese), Beijing: Qinghua University Press, 1996.Google Scholar
- 7.Xie, L., Xie, S., de Souza, C. E.,H ∞ control of a class of uncertain nonlinear sytems: An observer-based controller design, inProc. of IFAC 13th World Congress, San Francisco, USA, IEEE Press, 1996, 167–172.Google Scholar