Abstract
Decentralized H∞ control was studied for a class of interconnected uncertain systems with multiple delays in the state and control and time varying but norm-bounded parametric uncertainties. A sufficient condition which makes the closed-loop system decentralized asymptotically stable with H∞ performance was derived based on Lyapunov stability theorem. This condition is expressed as the solvability problem of linear matrix inequalities. The method overcomes the limitations of the existing algebraic Riccati equation method. Finally, a numerical example was given to demonstrate the design procedure for the decentralized H∞ state feedback controller.
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Foundation item: Project(2001AA41040) supported by the National Natural Science Foundation of China
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Chen, N., Gui, Wh. & Xie, Yf. Decentralized H∞ state feedback control for large-scale interconnected uncertain systems with multiple delays. J Cent. South Univ. Technol. 11, 93–97 (2004). https://doi.org/10.1007/s11771-004-0019-0
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DOI: https://doi.org/10.1007/s11771-004-0019-0