Delay-dependent robust  controller design for
a class of nonlinear uncertainty time-delay systems with input delay

doi:10.1007/s11460-008-0039-x

Front. Electr. Electron. Eng.

2008, Vol. 3

Issue (2) : 234-239 https://doi.org/10.1007/s11460-008-0039-x

Delay-dependent robust controller design for a class of nonlinear uncertainty time-delay systems with input delay

WANG Yanqing¹, PANG Xiumei¹, JIANG Changsheng²

1.Institute of Sciences, PLA University of Science and Technology; 2.College of Automation Engineering, Nanjing University of Aeronautics and Astronautics;

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Abstract 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.

Issue Date: 05 June 2008

Cite this article:

PANG Xiumei,WANG Yanqing,JIANG Changsheng. Delay-dependent robust controller design for a class of nonlinear uncertainty time-delay systems with input delay[J]. Front. Electr. Electron. Eng., 2008, 3(2): 234-239.

URL:

https://academic.hep.com.cn/fee/EN/10.1007/s11460-008-0039-x
https://academic.hep.com.cn/fee/EN/Y2008/V3/I2/234

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