Time-discretization of state time delayed nonlinear systems via Taylor-lie series

Yuanliang Zhang; Jong Man Kim; Changlei Zhang; Kil To Chong

doi:10.1117/12.669294

2 May 2006 Time-discretization of state time delayed nonlinear systems via Taylor-lie series

Yuanliang Zhang, Jong Man Kim, Changlei Zhang, Kil To Chong

Proceedings Volume 6042, ICMIT 2005: Control Systems and Robotics; 60421F (2006) https://doi.org/10.1117/12.669294
Event: ICMIT 2005: Merchatronics, MEMS, and Smart Materials, 2005, Chongqing, China

Abstract

In this paper, we propose a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption. This scheme is applied to the sample-data representation of a nonlinear system with constant state time-delay. The mathematical expressions of the discretization scheme are presented and the effect of the time-discretization method on key properties of nonlinear control system with state time-delay, such as equilibrium properties and asymptotic ability, is examined. The proposed scheme provides a finite-dimensional representation for nonlinear systems with state time-delay enabling existing controller design techniques to be applied to them. The performance of the proposed discretization procedure is evaluated using a nonlinear system.

Citation Download Citation

Yuanliang Zhang, Jong Man Kim, Changlei Zhang, and Kil To Chong "Time-discretization of state time delayed nonlinear systems via Taylor-lie series", Proc. SPIE 6042, ICMIT 2005: Control Systems and Robotics, 60421F (2 May 2006); https://doi.org/10.1117/12.669294

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