Proceedings of the KIEE Conference (대한전기학회:학술대회논문집)
- 2005.05a
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- Pages.125-127
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- 2005
Time-Discretization of Nonlinear control systems with State-delay via Taylor-Lie Series
Taylor-Lei Series에 의한 지연이 있는 비선형 시스템의 시간 이산화
- Published : 2005.05.14
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 tine-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 tine-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 then. 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.