Based on an appropriate Lyapunov function, this paper analyzes the design of a delay-dependent robust H∞ state feedback control, with a focus on a class of nonlinear uncertainty linear time-delay systems with input delay using linear matrix inequalities. Under the condition that the nonlinear uncertain functions are gain bounded, a sufficient condition dependent on the delays of the state and input is presented for the existence of H∞ controller. The proposed controller not only stabilized closed-loop uncertain systems but also guaranteed a prescribed H∞ norm bound of closed-loop transfer matrix from the disturbance to controlled output. By solving a linear matrix inequation, we can obtain the robust H∞ controller. An example is given to show the effectiveness of the proposed method.
WANG Yanqing, PANG Xiumei, JIANG Changsheng
. Delay-dependent robust controller design for
a class of nonlinear uncertainty time-delay systems with input delay[J]. Frontiers of Electrical and Electronic Engineering, 2008
, 3(2)
: 234
-239
.
DOI: 10.1007/s11460-008-0039-x
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