论文标题
使用输出测量值自适应识别非线性时间延迟系统
Adaptive Identification of Nonlinear Time-delay Systems Using Output Measurements
论文作者
论文摘要
一种新型的自适应标识符是针对由线性,Lipschitz和非Lipschitz组件组成的非线性时间延迟系统开发的。首先,标识符是为具有先验已知延迟值的不确定系统设计的,然后将其推广到具有未知延迟值的系统。该算法通过使用梯度算法确保渐近参数估计和状态观察。通过使用植物方程的特殊等效扩展来估算未知的延迟和植物参数。算法稳定性是通过线性基质不等式的可溶性提出的。调用仿真结果以支持开发的标识符设计并说明所提出的合成程序的效率。
A novel adaptive identifier is developed for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then it is generalized for systems with unknown delay values. The algorithm ensures the asymptotic parameter estimation and state observation by using gradient algorithms. The unknown delays and plant parameters are estimated by using a special equivalent extension of the plant equation. The algorithms stability is presented by solvability of linear matrix inequalities. Simulation results are invoked to support the developed identifier design and to illustrate the efficiency of the proposed synthesis procedure.