کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843461 | 908556 | 2009 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Time-discretization of nonlinear control systems with state-delay via Taylor–Lie series Time-discretization of nonlinear control systems with state-delay via Taylor–Lie series](/preview/png/843461.png)
The state-delay is always existent in the practical systems. Analysis of the delay phenomenon in a continuous-time domain is sophisticated. It is appropriate to obtain its corresponding discrete-time model for implementation via digital computer. 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 equilibrium properties of nonlinear control system with state time-delay 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. For this nonlinear system, various sampling rates and time-delay values are considered.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 1, 1 January 2009, Pages 83–98