Title |
Delay-dependent Robust H∞ Control of Uncertain Linear Systems with Time-varying Delays and Randomly Occurring Disturbances |
Authors |
김기훈(Kim, Ki-Hoon) ; 박명진(Park, Myeong-Jin) ; 권오민(Kwon, Oh-Min) ; 차은종(Cha, Eun-Jong) |
DOI |
https://doi.org/10.5370/KIEE.2013.62.5.679 |
Keywords |
H_∞ control ; Time-delays ; Randomly occurring disturbances ; Lyapunov method ; LMIs |
Abstract |
This paper proposes a new condition about delay-dependent robust H_∞ control of uncertain linear systems with time-varying delay and randomly occurring disturbances. The norm bounded uncertainties are subjected to the system matrices. Based on Lyapunov stability theory, a sufficient condition for designing a controller gain such that the closed-loop systems are asymptotically stable with H_∞ disturbance level γ is formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are included to show the effectiveness of the presented method. |